Milutin Milanković
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Milutin Milanković (sometimes
anglicised Anglicisation or anglicization is a form of cultural assimilation whereby something non-English becomes assimilated into or influenced by the culture of England. It can be sociocultural, in which a non-English place adopts the English language ...
as Milutin Milankovitch; sr-Cyrl, Милутин Миланковић, ; 28 May 1879 – 12 December 1958) was a Serbian
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
,
astronomer An astronomer is a scientist in the field of astronomy who focuses on a specific question or field outside the scope of Earth. Astronomers observe astronomical objects, such as stars, planets, natural satellite, moons, comets and galaxy, galax ...
, climatologist,
geophysicist Geophysics () is a subject of natural science concerned with the physical processes and properties of Earth and its surrounding space environment, and the use of quantitative methods for their analysis. Geophysicists conduct investigations acros ...
,
civil engineer A civil engineer is a person who practices civil engineering – the application of planning, designing, constructing, maintaining, and operating infrastructure while protecting the public and environmental health, as well as improving existing i ...
, university professor, popularizer of science and academic. Milanković gave two fundamental contributions to global science. The first contribution is the "Canon of the Earth's
Insolation Solar irradiance is the power per unit area ( surface power density) received from the Sun in the form of electromagnetic radiation in the wavelength range of the measuring instrument. Solar irradiance is measured in watts per square metre ...
", which characterizes the climates of all the planets of the
Solar System The Solar SystemCapitalization of the name varies. The International Astronomical Union, the authoritative body regarding astronomical nomenclature, specifies capitalizing the names of all individual astronomical objects but uses mixed "Sola ...
. The second contribution is the explanation of
Earth Earth is the third planet from the Sun and the only astronomical object known to Planetary habitability, harbor life. This is enabled by Earth being an ocean world, the only one in the Solar System sustaining liquid surface water. Almost all ...
's long-term climate changes caused by changes in the position of the Earth in comparison to the
Sun The Sun is the star at the centre of the Solar System. It is a massive, nearly perfect sphere of hot plasma, heated to incandescence by nuclear fusion reactions in its core, radiating the energy from its surface mainly as visible light a ...
, now known as
Milankovitch cycles Milankovitch cycles describe the collective effects of changes in the Earth's movements on its climate over thousands of years. The term was coined and named after the Serbian geophysicist and astronomer Milutin Milanković. In the 1920s, he pr ...
. This partly explained the
ice age An ice age is a long period of reduction in the temperature of Earth's surface and atmosphere, resulting in the presence or expansion of continental and polar ice sheets and alpine glaciers. Earth's climate alternates between ice ages, and g ...
s occurring in the geological past of the Earth, as well as the climate changes on the Earth which can be expected in the future. He founded planetary climatology by calculating temperatures of the upper layers of the Earth's atmosphere as well as the temperature conditions on planets of the inner Solar System, Mercury,
Venus Venus is the second planet from the Sun. It is often called Earth's "twin" or "sister" planet for having almost the same size and mass, and the closest orbit to Earth's. While both are rocky planets, Venus has an atmosphere much thicker ...
,
Mars Mars is the fourth planet from the Sun. It is also known as the "Red Planet", because of its orange-red appearance. Mars is a desert-like rocky planet with a tenuous carbon dioxide () atmosphere. At the average surface level the atmosph ...
, and the
Moon The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar ...
, as well as the depth of the atmosphere of the outer planets. He demonstrated the interrelatedness of
celestial mechanics Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to ...
and the Earth sciences and enabled a consistent transition from celestial mechanics to the Earth sciences and transformation of descriptive sciences into exact ones. A distinguished professor of
applied mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
and
celestial mechanics Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to ...
at the
University of Belgrade The University of Belgrade () is a public university, public research university in Belgrade, Serbia. It is the oldest and largest modern university in Serbia. Founded in 1808 as the Belgrade Higher School in revolutionary Serbia, by 1838 it me ...
, Milanković was a director of the
Belgrade Observatory The Belgrade Observatory is an astronomical observatory located in the Zvezdara Forest in the eastern part of Belgrade, Serbia. History Origin (1887–1891) In 1879, Milan Nedeljković (1857–1950) received a scholarship to continue his ...
, member of the Commission 7 for celestial mechanics of the
International Astronomical Union The International Astronomical Union (IAU; , UAI) is an international non-governmental organization (INGO) with the objective of advancing astronomy in all aspects, including promoting astronomical research, outreach, education, and developmen ...
and vice-president of
Serbian Academy of Sciences and Arts The Serbian Academy of Sciences and Arts (; , SANU) is a national academy and the most prominent academic institution in Serbia, founded in 1841 as Society of Serbian Letters (, DSS). The Academy's membership has included Nobel Prize, Nobel la ...
. Beginning his career as a construction engineer, he retained an interest in construction throughout his life, and worked as a structural engineer and supervisor on a series of
reinforced concrete Reinforced concrete, also called ferroconcrete or ferro-concrete, is a composite material in which concrete's relatively low tensile strength and ductility are compensated for by the inclusion of reinforcement having higher tensile strength or ...
constructions throughout
Yugoslavia , common_name = Yugoslavia , life_span = 1918–19921941–1945: World War II in Yugoslavia#Axis invasion and dismemberment of Yugoslavia, Axis occupation , p1 = Kingdom of SerbiaSerbia , flag_p ...
. He registered multiple patents related to this area.


Life


Early life

Milutin Milanković was born in the village of
Dalj Dalj ( sr-Cyrl, Даљ, , , ) is a village on the Danube in eastern Croatia, near the confluence of the Drava and Danube, on the border with Serbia. It is located on the D519 (Croatia), D519 road, south of its intersection with the D213 road and t ...
, a settlement on the banks of the
Danube The Danube ( ; see also #Names and etymology, other names) is the List of rivers of Europe#Longest rivers, second-longest river in Europe, after the Volga in Russia. It flows through Central and Southeastern Europe, from the Black Forest sou ...
in what was then part of
Austro-Hungarian Empire Austria-Hungary, also referred to as the Austro-Hungarian Empire, the Dual Monarchy or the Habsburg Monarchy, was a multi-national constitutional monarchy in Central Europe between 1867 and 1918. A military and diplomatic alliance, it consist ...
. Milutin and his twin sister were the oldest of seven children raised in a Serb family. Their father was a merchant, landlord and a local politician who died when Milutin was seven. As a result, Milutin and his siblings were raised by his mother, grandmother, and an uncle. His three brothers died of
tuberculosis Tuberculosis (TB), also known colloquially as the "white death", or historically as consumption, is a contagious disease usually caused by ''Mycobacterium tuberculosis'' (MTB) bacteria. Tuberculosis generally affects the lungs, but it can al ...
at a young age. As his health was fickle, Milutin received his elementary education at home, learning from his father Milan, private teachers, and from numerous relatives and friends of the family, some of whom were renowned philosophers, inventors, and poets. He attended secondary school in nearby
Osijek Osijek () is the fourth-largest city in Croatia, with a population of 96,848 in 2021. It is the largest city and the economic and cultural centre of the eastern Croatian region of Slavonia, as well as the administrative centre of Osijek-Baranja ...
, completing it in 1896. In 1896, he moved to
Vienna Vienna ( ; ; ) is the capital city, capital, List of largest cities in Austria, most populous city, and one of Federal states of Austria, nine federal states of Austria. It is Austria's primate city, with just over two million inhabitants. ...
to study Civil Engineering at the TU Wien and graduated in 1902. In his third year of studies, Milanković found more free time for wider education. He paid his full attention to the monumental buildings of Vienna, thereby gradually understanding all the beauty of architecture. He also visited Viennese museums and galleries, after which he became an admirer of Raphael's Madonna del Prato. He showed great interest in the Vienna Opera, which he visited regularly. In addition, he devoted his attention to learning the French language by taking private lessons and attending summer French language courses in
Geneva Geneva ( , ; ) ; ; . is the List of cities in Switzerland, second-most populous city in Switzerland and the most populous in French-speaking Romandy. Situated in the southwest of the country, where the Rhône exits Lake Geneva, it is the ca ...
. During a stay in
Switzerland Switzerland, officially the Swiss Confederation, is a landlocked country located in west-central Europe. It is bordered by Italy to the south, France to the west, Germany to the north, and Austria and Liechtenstein to the east. Switzerland ...
, Milankovitch visited the Institute for the Testing Building Materials in the Polytechnic in Zurich. In the Viennese ″Café Elisabethbrücke″, which was not fashionable but served only for reading, he spent an hour or two daily reading numerous newspapers and magazines. The professor of the science of the building bridges, , the top expert of Viennese Mechanics of that time, taught the most important subject of the fifth school year. In Brikʼs teaching, young Milankovitch found strong inspiration for later scientific work, as he describe it: ″Brikʼs lectures were very interesting to me. His mastering of mathematical analysis was excellent and would constantly apply it in his lectures. To a good mathematician it gives certain independence and freedom in solving problems.″ After graduating and spending his obligatory year in military service, Milankovitch borrowed money from an uncle to pay for additional schooling at TU Wien in engineering. At age twenty-five, his
PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
thesis was entitled ''Contribution to the Theory of Pressure Curves'' (Beitrag zur Theorie der Druckkurven) and its implementation allowed assessment of pressure curves' shape and properties when continuous pressure is applied, which is very useful in bridge, cupola and abutment construction. His thesis was successfully defended on December 3, 1904; examination committee members were Johann Emanuel Brik, Josef Finger, Emanuel Czuber and
Ludwig von Tetmajer Ludwig von Tetmajer (14 July 1850, Krompachy, Upper Hungary - 1 February 1905, Vienna, Austria) was a professor at the Eidgenössischen Polytechnikum, the fore-runner of modern ETH in Zurich. Tetmajer was a pioneer in the development of the res ...
. He then worked for an engineering firm in Vienna, using his knowledge to design structures.


Middle years


Structural engineering

At the beginning of 1905, Milanković took up practical work and joined the firm of Adolf Baron Pittel Betonbau-Unternehmung in Vienna. He built dams, bridges, viaducts, aqueducts, and other structures in
reinforced concrete Reinforced concrete, also called ferroconcrete or ferro-concrete, is a composite material in which concrete's relatively low tensile strength and ductility are compensated for by the inclusion of reinforcement having higher tensile strength or ...
throughout Austria-Hungary. So Milankovitch verified his theoretical knowledge and design tools on numerous reinforced concrete structures that he built during his engineering service in Vienna. Milankovitch participated with structural calculations and practical work in the construction of a total of ten hydroelectric power plants. Among them, the most notable is the one built in Sebeș (present-day Romania) in the
Transylvania Transylvania ( or ; ; or ; Transylvanian Saxon dialect, Transylvanian Saxon: ''Siweberjen'') is a List of historical regions of Central Europe, historical and cultural region in Central Europe, encompassing central Romania. To the east and ...
region. Milankovitch's specific task was to design a reinforced concrete aqueduct 1200 m long, which would bring water above the
turbines A turbine ( or ) (from the Greek , ''tyrbē'', or Latin ''turbo'', meaning vortex) is a rotary mechanical device that extracts energy from a fluid flow and converts it into useful work. The work produced can be used for generating electrical ...
of the city's hydroelectric power plant. After that, he was engaged in the construction of the
viaduct A viaduct is a specific type of bridge that consists of a series of arches, piers or columns supporting a long elevated railway or road. Typically a viaduct connects two points of roughly equal elevation, allowing direct overpass across a wide ...
in Hirschwang ( Semmering) in 1906 and in Pitten near Vienna in 1907. He also participated in the construction of bridges in Krainburg, Banhilda and Bad Ischl, then the Belgrade and
Košice Košice is the largest city in eastern Slovakia. It is situated on the river Hornád at the eastern reaches of the Slovak Ore Mountains, near the border with Hungary. With a population of approximately 230,000, Košice is the second-largest cit ...
sewage system, and Krupp's metal factory in Berndorf. The bridge in Krainburg (130 meters long and seven meters wide) was particularly beautiful, set on three pillars with four arches each, 30 meters apart. It was built of reinforced concrete, but was later destroyed during
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
. Milankovitch's great reputation was certainly contributed to by inventions of a new technology of building reinforced concrete ceiling, under the name "System Milankovitch - Kreutz", with which he became famous throughout the Austria-Hungary. He developed and patented the mentioned system of building ceilings with Theodor Kreutz. Compared to the existing ones, this ceiling stood out due to its simpler design, lower consumption of materials and the fact that it had integrated thermal and sound insulation, which made it more aesthetically elegant. The ″Milankovitch - Kreutz" construction system was protected by four patents for three inventions. In 1908, Milankovitch invented and patented new and useful Improvement in the ''Production of hollow reinforced-concrete slabs'' AT 42720 B. This patent is the equivalent of Milanovitch's US patent US 940041 A. In 1905, he published the first paper on armored concrete named ''Contribution to the theory of reinforced armored pillars''. He published the second paper on the same subject based on new results in 1906. In 1908, he published a paper titled "On membranes of same opposition" in which he proves that the ideal shape for a water reservoir of equally thick walls is that of a drop of water. His six patents were officially recognized and his reputation in the profession was enormous, bringing abundant financial wealth. In 1908, the Austro-Hungarian Empire decided to annex Bosnia and Herzegovina after 30 years of occupation. This was the height of a crisis with the neighboring Kingdom of Serbia, which did not agree with this act. And, there was even a growing danger of war and invasion. Milanković continued to practice civil engineering in Vienna until October 1, 1909 when he was received an offer
University of Belgrade The University of Belgrade () is a public university, public research university in Belgrade, Serbia. It is the oldest and largest modern university in Serbia. Founded in 1808 as the Belgrade Higher School in revolutionary Serbia, by 1838 it me ...
to work as an associate professor at the Department of
Applied Mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
that comprised three basic branches:
rational Rationality is the quality of being guided by or based on reason. In this regard, a person acts rationally if they have a good reason for what they do, or a belief is rational if it is based on strong evidence. This quality can apply to an ...
,
celestial mechanics Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to ...
, and
theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict List of natural phenomena, natural phenomena. This is in contrast to experimental p ...
. Though he continued to pursue his investigations of various problems pertaining to the application of reinforced concrete, he decided to concentrate on fundamental research. Although this was the turning point in Milankovitch's career, he still does not abandon his "passion for the entire range of construction work, from theoretical ideas to craftsmanship", and continues to engage in design and construction, in parallel with his scientific work. Thus, after arriving in the
Kingdom of Serbia The Kingdom of Serbia was a country located in the Balkans which was created when the ruler of the Principality of Serbia, Milan I of Serbia, Milan I, was proclaimed king in 1882. Since 1817, the Principality was ruled by the Obrenović dynast ...
, Milanković accepted the design and construction of the first reinforced concrete bridges on the
Niš Niš (; sr-Cyrl, Ниш, ; names of European cities in different languages (M–P)#N, names in other languages), less often spelled in English as Nish, is the list of cities in Serbia, third largest city in Serbia and the administrative cente ...
-
Knjaževac Knjaževac ( sr-cyr, Књажевац, ) is a town and municipality located in the Zaječar District of the Southern and Eastern Serbia, eastern Serbia. As of 2022, the municipality has a population of 25,341 inhabitants, while the town has 16,350 ...
railway, in the Timok Valley through the Nisevac Gorg, at the request of his friend and collegemate from TU Wien and civil engineer Petar Putnik. This undertaking was unique in that, at the suggestion of engineer Putnik, the type construction of a reinforced concrete bridge was applied for the first time in Serbia. The project of the 30-meter-span bridge, which rests on rocky shores, was done by Milanković with the aim of easier and faster construction of the railway on the route of which the construction of 19 bridges was planned. Thanks to this simple approach, the construction of all 19 bridges is solved with one project. That is precisely why Putnik's construction company won this job at the public procurement in 1912, when construction began. Milanković participated in the construction of the first of the nineteen bridges, which was located near Svrljig, where he fully immersed himself in the work and took care of how "the concrete is mixed, distributed over the formwork and compacted". Meanwhile, Milankovitch was granted citizenship of the Kingdom of Serbia in 1910.


Planet's insolation

His first papers were in the field of celestial mechanics, ''Properties of motion in a specialized
three-body problem In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses orbiting each other in space and then calculate their subsequent trajectories using Newton' ...
'' (1910), ''On general integrals of the
n-body problem In physics, the -body problem is the problem of predicting the individual motions of a group of astronomical object, celestial objects interacting with each other gravitationally.Leimanis and Minorsky: Our interest is with Leimanis, who first d ...
'' (1911), ''On kinematic symmetry and its application to qualitative solutions of dynamics problem'' (1912), but from 1912 Milankovitch began to be interested in cosmic climatology or solar climate. He began working on it in 1912, after he had realized that "most of meteorology is nothing but a collection of innumerable empirical findings, mainly numerical data, with traces of physics used to explain some of them... Mathematics was even less applied, nothing more than elementary calculus... Advanced mathematics had no role in that science..." While studying the works of the contemporaneous climatologist Julius von Hann, Milanković noticed a significant issue, which became one of the major objects of his scientific research: a mystery
ice age An ice age is a long period of reduction in the temperature of Earth's surface and atmosphere, resulting in the presence or expansion of continental and polar ice sheets and alpine glaciers. Earth's climate alternates between ice ages, and g ...
. The idea of possible astronomically-related climate changes was first considered by astronomers (
John Herschel Sir John Frederick William Herschel, 1st Baronet (; 7 March 1792 – 11 May 1871) was an English polymath active as a mathematician, astronomer, chemist, inventor and experimental photographer who invented the blueprint and did botanical work. ...
, 1792–1871) and geologists (
Louis Agassiz Jean Louis Rodolphe Agassiz ( ; ) FRS (For) FRSE (May 28, 1807 – December 14, 1873) was a Swiss-born American biologist and geologist who is recognized as a scholar of Earth's natural history. Spending his early life in Switzerland, he recei ...
, 1807–1873). Milanković studied the works of Joseph Adhemar whose pioneering theory on the astronomical origins of ice ages were formally rejected by his contemporaries and the amateur scientist James Croll (1821-1890), whose work was effectively forgotten after initial acceptance by contemporaries such as
Charles Darwin Charles Robert Darwin ( ; 12 February 1809 – 19 April 1882) was an English Natural history#Before 1900, naturalist, geologist, and biologist, widely known for his contributions to evolutionary biology. His proposition that all speci ...
. Despite having valuable data on the distribution of ice on the
Alps The Alps () are some of the highest and most extensive mountain ranges in Europe, stretching approximately across eight Alpine countries (from west to east): Monaco, France, Switzerland, Italy, Liechtenstein, Germany, Austria and Slovenia. ...
across various glaciations, climatologists and geologists had not established the root causes of these cycles. Milanković decided to attempt correctly to calculate the magnitude of such influences. Milanković sought the solution of these complex problems in the field of
spherical geometry 300px, A sphere with a spherical triangle on it. Spherical geometry or spherics () is the geometry of the two-dimensional surface of a sphere or the -dimensional surface of higher dimensional spheres. Long studied for its practical applicati ...
,
celestial mechanics Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to ...
, and
theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict List of natural phenomena, natural phenomena. This is in contrast to experimental p ...
. His first work described the present climate on Earth and how the Sun's rays determine the temperature on Earth's surface after passing through the
atmosphere An atmosphere () is a layer of gases that envelop an astronomical object, held in place by the gravity of the object. A planet retains an atmosphere when the gravity is great and the temperature of the atmosphere is low. A stellar atmosph ...
. He published the first paper on the subject entitled "Contribution to the mathematical theory of climate" in Belgrade in April 1912. His next paper was entitled "''Distribution of the sun radiation on the earth's surface''" and was published on June 1913. In December of that year, this paper was read by Wilhelm Wien, and was soon published in the German journal ''
Annalen der Physik ''Annalen der Physik'' (English: ''Annals of Physics'') is one of the oldest scientific journals on physics; it has been published since 1799. The journal publishes original, peer-reviewed papers on experimental, theoretical, applied, and mathem ...
''. He correctly calculated the intensity of
insolation Solar irradiance is the power per unit area ( surface power density) received from the Sun in the form of electromagnetic radiation in the wavelength range of the measuring instrument. Solar irradiance is measured in watts per square metre ...
and developed a mathematical theory describing Earth's climate zones. His aim was an integral, mathematically accurate theory which connects thermal regimes of the planets to their movement around the Sun. He wrote: "...such a theory would enable us to go beyond the range of direct observations, not only in space, but also in time... It would allow reconstruction of the Earth's climate, and also its predictions, as well as give us the first reliable data about the climate conditions on other planets." He published a paper entitled "The problem of the astronomical theory of ice ages" in 1914. On 14 June 1914, Milanković married Kristina Topuzović and went on his honeymoon to his native village of
Dalj Dalj ( sr-Cyrl, Даљ, , , ) is a village on the Danube in eastern Croatia, near the confluence of the Drava and Danube, on the border with Serbia. It is located on the D519 (Croatia), D519 road, south of its intersection with the D213 road and t ...
in Austro-Hungary, where he heard about the Sarajevo assassination which was the cause of the
July crisis The July Crisis was a series of interrelated diplomatic and military escalations among the Great power, major powers of Europe in mid-1914, Causes of World War I, which led to the outbreak of World War I. It began on 28 June 1914 when the Serbs ...
. Meanwhile, the Austro-Hungarian Empire began massing troops in the
Balkans The Balkans ( , ), corresponding partially with the Balkan Peninsula, is a geographical area in southeastern Europe with various geographical and historical definitions. The region takes its name from the Balkan Mountains that stretch throug ...
near the border with the Kingdom of Serbia in preparation for an invasion. At that time, he was arrested as a citizen of Serbia, and at first he spent six weeks under house arrest, but was eventually imprisoned and later sent to a prisoner-of-war camp (K. u. K. Interienirungslager) in Nezsider, Hungary (today
Neusiedl am See Neusiedl am See (; ; ; ; ) is a town in Burgenland, Austria, and administrative center of the district of Neusiedl am See. Neusiedl am See is located on the northern shore of Lake Neusiedl. Geography Neusiedl am See is located in eastern Au ...
, Austria). He described his first day in prison, where he waited to be taken to the Esseg fortress as a prisoner of war, in the following words:
... Sat on the bed, I looked around and started synchronizing with my new social position .... In the suitcase I had my printed works and my notes on the cosmic problem, there was clean paper too and I started writing. It was far past midnight when I stopped. I looked around the room, wondering where I was. It felt like I was in a roadhouse on my trip through the Universe.
His wife went to Vienna to talk to Emanuel Czuber, who was his mentor and a good friend. Through his social connections, Professor Czuber arranged Milanković's release from prison and permission to spend his captivity in
Budapest Budapest is the Capital city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by popul ...
with the right to work. After six months spent in the prison camp, Milanković was released on December 24, 1914. Immediately after arriving in Budapest, Milanković met the Director of the Library of the Hungarian Academy of Science, Kálmán Szily who, as a mathematician, eagerly accepted Milanković and enabled him to work undisturbed in the Academy's library and the Central Meteorological Institute. Milanković spent four years in Budapest, almost the entire war. His was only restricted not to leave town and to report to police office once a week. In 1915, Milanković's son Vasilije-Vasko was born in Budapest. He used mathematical methods to study the current climate of inner planets of the solar system. He shared the general opinion at the time that Mars and Venus contained
water Water is an inorganic compound with the chemical formula . It is a transparent, tasteless, odorless, and Color of water, nearly colorless chemical substance. It is the main constituent of Earth's hydrosphere and the fluids of all known liv ...
on their surface. This was logical thinking, since Earth has water, Mars has polar cap, and Venus has white clouds that associate on the
water vapor Water vapor, water vapour, or aqueous vapor is the gaseous phase of Properties of water, water. It is one Phase (matter), state of water within the hydrosphere. Water vapor can be produced from the evaporation or boiling of liquid water or from th ...
. This significantly influenced his calculations for the basic thermal climate characteristics of these two planets. In 1916 he published a paper entitled "Investigation of the climate of the planet Mars". He knew the size of Mars and its distance from the Sun, but also that it has a similar rotation speed and axis orientation as Earth. Milanković calculated that the average temperature in the lower layers the atmosphere on
Mars Mars is the fourth planet from the Sun. It is also known as the "Red Planet", because of its orange-red appearance. Mars is a desert-like rocky planet with a tenuous carbon dioxide () atmosphere. At the average surface level the atmosph ...
is and the average surface temperature is . Also, he concluded that: "This large temperature difference between the ground and lower layers of the atmosphere is not unexpected. Great transparency for solar radiation makes that is the climate of Mars very similar to altitudes climate of our Earth." In any case, Milanković's work suggested that Mars has a harsh climate, and calmed mounting enthusiasm concerning the prospect of discovering the presence of liquid water on the surface of Mars. He discussed the possibility of
life on Mars The possibility of life on Mars is a subject of interest in astrobiology due to the planet's proximity and similarities to Earth. To date, no conclusive evidence of past or present life has been found on Mars. Cumulative evidence suggests that ...
and was skeptical that it could have complex life forms as well and
vegetation Vegetation is an assemblage of plants and the ground cover they provide. It is a general term, without specific reference to particular Taxon, taxa, life forms, structure, Spatial ecology, spatial extent, or any other specific Botany, botanic ...
. In addition to considering Mars, he dealt with the climatic conditions prevailing on
Venus Venus is the second planet from the Sun. It is often called Earth's "twin" or "sister" planet for having almost the same size and mass, and the closest orbit to Earth's. While both are rocky planets, Venus has an atmosphere much thicker ...
and Mercury. According to his own words, Milankovitch did not know the speed of rotation of Venus, the orientation of the axis, as well as the thickness and composition of the atmosphere. He was awere with Schiaparelli's suggestion that Venus has a slow rotation period equal to the duration of its orbits around the Sun, but he was skeptical because he thought that Venus would lose its atmosphere during a long-term day due to the effects of Solar Radiation. At the last, he accepted
spectroscopy Spectroscopy is the field of study that measures and interprets electromagnetic spectra. In narrower contexts, spectroscopy is the precise study of color as generalized from visible light to all bands of the electromagnetic spectrum. Spectro ...
observations from that time that suggested a shorter rotation period similar to Earth's. So he considered a greenhouse effect (water vapor) on Venus calculated the temperature in the outer limit of the atmosphere , the upper layer , the middle layer and the lower layer of the atmosphere as well as a ground temperature of . In his literary work ''Through Distant Worlds and Times'', he described of Venus in the following words:
Here we are in the temple of Isis and Osiris, more magnificent than Schinkel himself imagined. From its huge dome, covered with a gently mother-of-pearl mosaic, a white mysterious light spills over the interior of this home. That dome, that's the sky of Venus. The Sun is never visible on it, only the Sun's silvery glow. Not a single star twinkles in this sky; no messenger of the universe reaches this sanctuary...What is this? A storm is raging in my head, blood vessels are beating like sledgehammers, I'm out of breath. You are pale, dear miss, your legs are wobbly - you have completely fainted... Half unconscious, I carry you, in my arms, to our Earth...
He also discussed the possibility of
life on Venus The possibility of life on Venus is a subject of interest in astrobiology due to Venus's proximity and similarities to Earth. To date, no definitive evidence has been found of past or present life there. In the early 1960s, studies conducted vi ...
. He thought that the mystery of this planet lies in the answer to the question about its axis, the speed of rotation or how long a day lasts on Venus. His calculations of the surface temperature conditions on the neighboring
Moon The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar ...
are particularly significant. Milankovitch knew that the moon rotates on its axis in 27.32 days, so lunar daytime on one side of the moon last about 13.5 Earth days. Milankovitch calculated that the temperature after a long moon night, in the early morning on the Moon, or before the rise of the Sun over horizon, was . At noon, it rises on , only to reach its maximum value one Earth day later . At sunset, the temperature drops . According to Milankovitch, a sudden cooling occurs during the night. From 1912 to 1917, he wrote and published seven papers on mathematical theories of climate both on the Earth and on the other planets. He formulated a precise, numerical climatological model with the capacity for reconstruction of the past and prediction of the future, and established the astronomical theory of climate as a generalized mathematical theory of insolation. When these most important problems of the theory were solved, and a firm foundation for further work built, Milanković finished the manuscript under the title ''Mathematische Grundlagen der kosmischen Strahlungslehre'' that he sent to his Professor Czuber in Vienna at the summer of 1917. Czuber contacted a publishing house in
Leipzig Leipzig (, ; ; Upper Saxon: ; ) is the most populous city in the States of Germany, German state of Saxony. The city has a population of 628,718 inhabitants as of 2023. It is the List of cities in Germany by population, eighth-largest city in Ge ...
, but since there was a shortage of paper in early 1918, the printing of the book was cancelled. In the fall of 1917, Milankovitch got a job in a construction bureau in Budapest, where he worked on detailed projects of reinforced concrete constructions of a new six-story tuberculosis
sanatorium A sanatorium (from Latin '' sānāre'' 'to heal'), also sanitarium or sanitorium, is a historic name for a specialised hospital for the treatment of specific diseases, related ailments, and convalescence. Sanatoriums are often in a health ...
built in the
High Tatras The High Tatras or High Tatra Mountains (; ; ,'' Vysoki Tatry''; ; ), are a mountain range along the border of northern Slovakia in the Prešov Region, and southern Poland in the Lesser Poland Voivodeship. They are a range of the Tatra Mountains ...
, as well as on other important projects. After the
Great War World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting to ...
, the Austro-Hungarian Empire disintegrated and new states such as the
Kingdom of Serbs, Croats and Slovenes The Kingdom of Yugoslavia was a country in Southeast and Central Europe that existed from 1918 until 1941. From 1918 to 1929, it was officially called the Kingdom of Serbs, Croats, and Slovenes, but the term "Yugoslavia" () has been its colloq ...
,
Republic of Austria Austria, formally the Republic of Austria, is a landlocked country in Central Europe, lying in the Eastern Alps. It is a federation of nine Federal states of Austria, states, of which the capital Vienna is the List of largest cities in Aust ...
,
Kingdom of Hungary The Kingdom of Hungary was a monarchy in Central Europe that existed for nearly a millennium, from 1000 to 1946 and was a key part of the Habsburg monarchy from 1526-1918. The Principality of Hungary emerged as a Christian kingdom upon the Coro ...
and
Czechoslovak Republic Czechoslovak Republic (Czech and Slovak: ''Československá republika'', ČSR), was the official name of Czechoslovakia between 1918 and 1939 and between 1945 and 1960. See: *First Czechoslovak Republic (1918–1938) *Second Czechoslovak Republic ...
were formed on its remains. Milanković returned from Budapest to Belgrade with his family after a three-day trip by steamboat ″Gizella″ on 19 March 1919. He continued his professorial career, becoming a full professor at the University of Belgrade. Milanković then, with the help of Professor Ivan Đaja, prepared the French text of this work and it was published under the title "Théorie mathématique des phénomènes thermiques produits par la radiation solaire" (''Mathematical Theory of Heat Phenomena Produced by Solar Radiation'') in 1920 in the edition of the Yugoslav Academy of Sciences and Arts (today HAZU) from
Zagreb Zagreb ( ) is the capital (political), capital and List of cities and towns in Croatia#List of cities and towns, largest city of Croatia. It is in the Northern Croatia, north of the country, along the Sava river, at the southern slopes of the ...
and the Gauthier-Villars in
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
. That same year, he was elected a corresponding member of the Serbian Royal Academy of Sciences in Belgrade and the Yugoslav Academy of Science and Arts in Zagreb.


Orbital variations and ice ages

As a consequence of the
Russian Civil War The Russian Civil War () was a multi-party civil war in the former Russian Empire sparked by the 1917 overthrowing of the Russian Provisional Government in the October Revolution, as many factions vied to determine Russia's political future. I ...
, with the arrival of Russian scientists – emigrants, the personnel base of the Faculty of Philosophy at the University of Belgrade was expanded. Thus, from 1920 Anton Bilimovich (1879–1970), a distinguished scientist, who came from
Odessa ODESSA is an American codename (from the German language, German: ''Organisation der ehemaligen SS-Angehörigen'', meaning: Organization of Former SS Members) coined in 1946 to cover Ratlines (World War II aftermath), Nazi underground escape-pl ...
, took over the lectures on rational mechanics, and from 1925 the lectures on theoretical physics and vector theory were taken over by the newly elected assistant professor Wenceslas S. Jardetzky (1896–1962). Between the two wars, Milankovitch taught celestial mechanics and occasionally the theory of relativity, and after the Second World War until 1955, when he retired, he taught celestial mechanics and the history of astronomy. Milankovitch's works on astronomical explanations of ice ages, especially his curve of insolation for the past 130,000 years, received support from the climatologist Wladimir Köppen and from the geophysicist Alfred Wegener. Köppen noted the usefulness of Milanković's theory for paleoclimatological researchers. Milanković received a letter on 22 September 1922 from Köppen, who asked him to expand his studies from 130,000 years to 600,000 years. He accepted Köppen's suggestion that cool summers were a crucial factor for
glaciation A glacial period (alternatively glacial or glaciation) is an interval of time (thousands of years) within an ice age that is marked by colder temperatures and glacier advances. Interglacials, on the other hand, are periods of warmer climate be ...
and agreed to calculate the secular progress of insolation of the Earth at the outer limit of the
atmosphere An atmosphere () is a layer of gases that envelop an astronomical object, held in place by the gravity of the object. A planet retains an atmosphere when the gravity is great and the temperature of the atmosphere is low. A stellar atmosph ...
for the past 650,000 years for parallels of 55°, 60° and 65° northern latitude, where the most important events of the
Quaternary The Quaternary ( ) is the current and most recent of the three periods of the Cenozoic Era in the geologic time scale of the International Commission on Stratigraphy (ICS), as well as the current and most recent of the twelve periods of the ...
glaciations occurred. After developing the mathematical machinery enabling him to calculate the insolation in any given geographical latitude and for any annual season, Milanković was ready to start the realization of the mathematical description of climate of the Earth in the past. Milanković spent 100 days doing the calculations and prepared a graph of
solar radiation Sunlight is the portion of the electromagnetic radiation which is emitted by the Sun (i.e. solar radiation) and received by the Earth, in particular the visible light perceptible to the human eye as well as invisible infrared (typically p ...
changes at geographical latitudes of 55°, 60° and 65° north for the past 650,000 years. Milankovitch, in his early works, used the astronomical values of Stockwell- Pilgram. These curves showed the variations in insolation which correlated with four Alpine glaciations known at the time ( Gunz, Mindel, Riss and
Würm Wurm or Würm may refer to: Places * Wurm (Rur), a river in North Rhine-Westphalia in western Germany * Würm (Amper), a river in Bavaria, southeastern Germany ** Würm glaciation, an Alpine ice age, named after the Bavarian river * Würm (Nagold ...
glaciation). Köppen felt that Milanković's theoretical approach to
solar energy Solar energy is the radiant energy from the Sun's sunlight, light and heat, which can be harnessed using a range of technologies such as solar electricity, solar thermal energy (including solar water heating) and solar architecture. It is a ...
was a logical approach to the problem. His solar curve was introduced in a work entitled "''Climates of the geological past''", published by Wladimir Köppen and his son-in-law Alfred Wegener in 1924. In September of that year, he attended the lecture given by Alfred Wegener at Congress of German Naturalist in
Innsbruck Innsbruck (; ) is the capital of Tyrol (federal state), Tyrol and the List of cities and towns in Austria, fifth-largest city in Austria. On the Inn (river), River Inn, at its junction with the Wipptal, Wipp Valley, which provides access to the ...
. That same year, he was elected a full member of the Serbian Royal Academy of Sciences. The Meteorological service of the
Kingdom of Yugoslavia The Kingdom of Yugoslavia was a country in Southeast Europe, Southeast and Central Europe that existed from 1918 until 1941. From 1918 to 1929, it was officially called the Kingdom of Serbs, Croats, and Slovenes, but the term "Yugoslavia" () h ...
became a member of International Meteorological Organization – IMO (founded in
Brussels Brussels, officially the Brussels-Capital Region, (All text and all but one graphic show the English name as Brussels-Capital Region.) is a Communities, regions and language areas of Belgium#Regions, region of Belgium comprising #Municipalit ...
in 1853 and in
Vienna Vienna ( ; ; ) is the capital city, capital, List of largest cities in Austria, most populous city, and one of Federal states of Austria, nine federal states of Austria. It is Austria's primate city, with just over two million inhabitants. ...
in 1873) as a predecessor of present
World Meteorological Organization The World Meteorological Organization (WMO) is a List of specialized agencies of the United Nations, specialized agency of the United Nations responsible for promoting international cooperation on atmospheric science, climatology, hydrology an ...
, WMO. Milanković served as a representative of the Kingdom of Yugoslavia there for many years. Milanković put the Sun at the center of his theory, as the only source of heat and light in the Solar System. He considered three cyclical movements of the Earth:
eccentricity Eccentricity or eccentric may refer to: * Eccentricity (behavior), odd behavior on the part of a person, as opposed to being "normal" Mathematics, science and technology Mathematics * Off-Centre (geometry), center, in geometry * Eccentricity (g ...
,
axial tilt In astronomy, axial tilt, also known as obliquity, is the angle between an object's rotational axis and its orbital axis, which is the line perpendicular to its orbital plane; equivalently, it is the angle between its equatorial plane and orbita ...
, and
precession Precession is a change in the orientation of the rotational axis of a rotating body. In an appropriate reference frame it can be defined as a change in the first Euler angle, whereas the third Euler angle defines the rotation itself. In o ...
. Each cycle works on a different time-scale and each affects the amount of solar energy received by the planets. Such changes in the geometry of an orbit lead to the changes in the
insolation Solar irradiance is the power per unit area ( surface power density) received from the Sun in the form of electromagnetic radiation in the wavelength range of the measuring instrument. Solar irradiance is measured in watts per square metre ...
– the quantity of heat received by any spot at the surface of a planet. These orbital variations, which are influenced by gravity of the
Moon The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar ...
, Sun,
Jupiter Jupiter is the fifth planet from the Sun and the List of Solar System objects by size, largest in the Solar System. It is a gas giant with a Jupiter mass, mass more than 2.5 times that of all the other planets in the Solar System combined a ...
, and
Saturn Saturn is the sixth planet from the Sun and the second largest in the Solar System, after Jupiter. It is a gas giant, with an average radius of about 9 times that of Earth. It has an eighth the average density of Earth, but is over 95 tim ...
, form the basis of the Milankovitch cycle. Between 1925 and 1928 Milanković wrote the popular-science book '' Through Distant Worlds and Times'' in the form of letters to an anonymous woman. The work discusses the history of astronomy, climatology and science via a series of imaginary visits to various points in space and time by the author and his unnamed companion, encompassing the formation of the Earth, past civilizations, famous ancient and renaissance thinkers and their achievements, and the work of his contemporaries, Köppen and Wegener. In the "letters", Milanković expanded on some of his own theories on astronomy and climatology, and described the complicated problems of celestial mechanics in a simplified manner. Köppen proposed to Milanković on 14 December 1926 to extend his calculations to a million years and to send his results to Barthel Eberl, a geologist studying the Danube basin, as Eberl's research had unearthed some evidence of previous Ice Ages from before over 650,000 years ago. Eberl published all this in Augsburg in 1930 together with Milanković's curves. In 1927, Milanković received an offer from Köppen to collaborate on the Handbook of Climatology (Handbuch der Klimatologie), which was edited by Köppen himself. That same year, Milanković asked his colleague and friend, Vojislav Mišković, to collaborate in the work and calculate astronomical values based on the Le Verrier method. Mišković was a well-established astronomer from the
Nice Observatory The Nice Observatory () is an astronomical observatory located in Nice, France on the summit of Mount Gros. The observatory was founded in 1879, by the banker Raphaël Bischoffsheim. The architect was Charles Garnier (architect), Charles Garnier, ...
, who became the head of the Astronomical Observatory of the University of Belgrade and a professor of Theoretical and Practical Astronomy. After almost three years, Mišković and his staff completed the calculation of astronomical values based on the Le Verrier method and using the masses of the planets as known at that time. Milanković used these values in his later works. Subsequently, Milanković wrote the introductory portion of ''Mathematical science of climate and astronomical theory of the variations of the climate'' (''Mathematische Klimalehre und Astronomische Theorie der Klimaschwankungen''), published by Köppen (''Handbook of Climatology''; ''Handbuch der Klimalogie Band 1'') in 1930 in German and translated into Russian in 1939. In 1935 Milanković published the book ''Celestial Mechanics''. This textbook used
vector Vector most often refers to: * Euclidean vector, a quantity with a magnitude and a direction * Disease vector, an agent that carries and transmits an infectious pathogen into another living organism Vector may also refer to: Mathematics a ...
calculus systematically to solve problems of celestial mechanics. His original contribution to celestial mechanics is called Milanković's system of vector elements of planetary orbits. He reduced six Lagrangean-
Laplacian In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space. It is usually denoted by the symbols \nabla\cdot\nabla, \nabla^2 (where \nabla is th ...
elliptical elements to two vectors determining the mechanics of planetary movements. The first specifies the planet's orbital plane, the sense of revolution of the planet, and the orbital ellipse parameter; the second specifies the axis of the orbit in its plane and the orbital eccentricity. By applying those vectors he significantly simplified the calculation and directly obtained all the formulas of the classical theory of secular perturbations. Milanković, in a simple but original manner, first deduced Newton's law of gravitation from Kepler's laws. Then Milanković treated the two-body and the many-body problems of celestial mechanics. He applied vector calculus from
quantum mechanics Quantum mechanics is the fundamental physical Scientific theory, theory that describes the behavior of matter and of light; its unusual characteristics typically occur at and below the scale of atoms. Reprinted, Addison-Wesley, 1989, It is ...
to celestial mechanics. Meanwhile, in 1936 he attended the Third symposium of the
International Union for Quaternary Research The International Union for Quaternary Research (INQUA) was founded in 1928. It has members from a number of scientific disciplines who study the environmental changes that occurred during the glacial ages, the last 2.6 million years. One g ...
(INQUA) in Vienna. In the period from 1935 to 1938 Milanković calculated that ice cover depended on changes in insolation. He succeeded in defining the mathematical relationship between summer insolation and the altitude of the snow line. In this way he defined the increase of snow which would occur as a consequence of any given change in summer insolation. He published his results in the study "''New Results of the Astronomic Theory of Climate Changes''" in 1938.
Geologist A geologist is a scientist who studies the structure, composition, and History of Earth, history of Earth. Geologists incorporate techniques from physics, chemistry, biology, mathematics, and geography to perform research in the Field research, ...
s received a graph presenting bordering altitudes of ice cover for any period of time during the last 600,000 years. .


Polar wandering

Conversations with Wegener, the father of
continental drift Continental drift is a highly supported scientific theory, originating in the early 20th century, that Earth's continents move or drift relative to each other over geologic time. The theory of continental drift has since been validated and inc ...
theory, got Milanković interested in the interior of the Earth and the movement of the poles, so he told his friend that he would investigate polar wandering. In November 1929, Milanković received an invitation from Professor
Beno Gutenberg Beno Gutenberg (; June 4, 1889 – January 25, 1960) was a German-American seismologist who made several important contributions to the science. He was a colleague and mentor of Charles Francis Richter at the California Institute of Technolo ...
of
Darmstadt Darmstadt () is a city in the States of Germany, state of Hesse in Germany, located in the southern part of the Frankfurt Rhine Main Area, Rhine-Main-Area (Frankfurt Metropolitan Region). Darmstadt has around 160,000 inhabitants, making it the ...
to collaborate on a ten volume handbook on geophysics and to publish his views on the problem of the secular variations of the Earth's rotational poles. In the meantime, Wegener died in November 1930 during his fourth expedition to
Greenland Greenland is an autonomous territory in the Danish Realm, Kingdom of Denmark. It is by far the largest geographically of three constituent parts of the kingdom; the other two are metropolitan Denmark and the Faroe Islands. Citizens of Greenlan ...
. Milanković became convinced that the continents 'float' on a somewhat fluid subsurface and that the positions of the continents with respect to the axis of rotation affect the
centrifugal force Centrifugal force is a fictitious force in Newtonian mechanics (also called an "inertial" or "pseudo" force) that appears to act on all objects when viewed in a rotating frame of reference. It appears to be directed radially away from the axi ...
of the rotation and can throw the axis off balance and force it to move. Wegener's tragedy additionally motivated Milankovich to persevere in solving the problem of polar wandering. Milanković began working on the problem of the shape of the Earth and the position of the Earth's poles in 1932 and 1933 at the suggestion of Alfred Wegener. The Earth as a whole he considered as a fluid body, which in the case of short-duration forces behaves as a solid body, but under an influence behaves as an elastic body. Using vector analysis he made a mathematical model of the Earth to create a theory of secular motion of the terrestrial poles. He derived the equation of secular trajectory of a terrestrial pole and also the equation of pole motion along this trajectory. His equation, also known as Milankovitch's theorem, is ''v = c grad Ω''. He drew a map of the path of the poles over the past 300 million years and stated that changes happen in the interval of 5 million years (minimum) to 30 million years (maximum). He found that the secular pole trajectory depends only on the configuration of the terrestrial outer shell and the instantaneous pole position on it, more precisely on geometry of the Earth mass. On this basis he could calculate the secular pole trajectory. Also, based on Milanković's model, the continental blocks sink into their underlying "fluidal" base, and slide around, 'aiming to achieve' isostatic equilibrium. In his conclusion about this problem, he wrote: For an extraterrestrial observer, the displacement of the pole takes place in such a way that the ... Earth's axis maintains its orientation in space, but the Earth's crust is displaced on its substratum. Milankovitch published his paper on the subject entitled "Numerical trajectory of secular changes of pole’s rotation" in Belgrade in 1932. Milanković wrote four sections of Gutenberg's "Handbook of Geophysics" (Handbuch der Geophysik): * ''Stellung und Bewegung der Erde im Weltall'', No I,2 - 1931, (The Earth's Position and Movement in Space) * ''Drehbewegungen der Erde'', No. I,6 - 1933, (Rotational Movement of the Earth) * ''Säkulare Polverlagerungen'', No. I,7 - 1933, (Secular shift of the Poles) * ''Astronomiche Mittel zur Erforschung der erdgeschichtlichen Klimate'', No. IX, 7 - 1938, (Astronomic Means for Climate Study during the Earth's history) The lecture on the apparent shift of poles was held at a congress of Balkan mathematicians in
Athens Athens ( ) is the Capital city, capital and List of cities and towns in Greece, largest city of Greece. A significant coastal urban area in the Mediterranean, Athens is also the capital of the Attica (region), Attica region and is the southe ...
in 1934. That same year, held a lecture dedicated to the work of Alfred Wegener under the title ''Moving of the Earth's Poles – A Memory to Alfred Wegener'' in Belgrade, which was also published under the same name. Wegener's untimely death ended the collaboration between them on this subject. Milankovitch's work on this topic was criticized from the beginning. Milankovitch's trajectory of polar wandering was a topic of discussion after World War II. In the 1950s, paleomagnetic data showed different results than Milankovitch's theoretical numerical values for polar wandering trajectory.


Later life

To collect his scientific work on the theory of solar radiation that was scattered in many books and papers, Milanković began his life's work in 1939. This tome was entitled "Canon of Insolation of the Earth and Its Application to the Problem of the Ice Ages", which covered his nearly three decades of research, including a large number of formulas, calculations and schemes, but also summarized universal laws through which it was possible to explain cyclical climate change – his namesake
Milankovitch cycles Milankovitch cycles describe the collective effects of changes in the Earth's movements on its climate over thousands of years. The term was coined and named after the Serbian geophysicist and astronomer Milutin Milanković. In the 1920s, he pr ...
. Milanković spent two years arranging and writing the "Canon". The manuscript was submitted to print on 2 April 1941 – four days before the attack of Nazi Germany and its allies on the Kingdom of Yugoslavia. In the bombing of Belgrade on 6 April 1941, the printing house where his work was being printed was destroyed; however, almost all of the printed sheet paper remained undamaged in the printing warehouse. After the successful occupation of Serbia on 15 May 1941, two German officers and geology students came to Milanković in his house and brought greetings from Professor of
Freiburg Freiburg im Breisgau or simply Freiburg is the List of cities in Baden-Württemberg by population, fourth-largest city of the German state of Baden-Württemberg after Stuttgart, Mannheim and Karlsruhe. Its built-up area has a population of abou ...
. Milanković gave them the only complete printed copy of the "Canon" to send to Soergel, to make certain that his work would be preserved. Milanković did not take part in the work of the university during the occupation, and after the war he was reinstated as professor. The "Canon" was issued in 1941 by the Royal Serbian Academy, 626 pages in quarto, and was printed in German as "Kanon der Erdbestrahlung und seine Anwendung auf das Eiszeitenproblem". The titles of the six parts of the book are: # "The planets' motion around the Sun and their mutual perturbations" # "The rotation of the Earth" # "Secular wanderings of the rotational poles of the Earth" # "The Earth's insolation and its secular changes" # "The connection between insolation and the temperature of the Earth and its atmosphere. The mathematical climate of the Earth" # "The ice age, its mechanism, structure and chronology". During the German occupation of Serbia from 1941 to 1944, Milanković withdrew from public life and decided to write a "history of his life and work" going beyond scientific matters, including his personal life and the love of his father who died in his youth. His autobiography would be published after the war, entitled "Recollection, Experiences and Vision" in Belgrade in 1952.


Tower of Babel

After the war, in 1947, Milanković's only son emigrated from the new communist
Yugoslavia , common_name = Yugoslavia , life_span = 1918–19921941–1945: World War II in Yugoslavia#Axis invasion and dismemberment of Yugoslavia, Axis occupation , p1 = Kingdom of SerbiaSerbia , flag_p ...
via
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
,
London London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Wester ...
and
Egypt Egypt ( , ), officially the Arab Republic of Egypt, is a country spanning the Northeast Africa, northeast corner of Africa and Western Asia, southwest corner of Asia via the Sinai Peninsula. It is bordered by the Mediterranean Sea to northe ...
to
Australia Australia, officially the Commonwealth of Australia, is a country comprising mainland Australia, the mainland of the Australia (continent), Australian continent, the island of Tasmania and list of islands of Australia, numerous smaller isl ...
. Milanković would never see his son again and the only way of correspondence between them would be through letters. Milanković was vice president of the Serbian Academy of Sciences (1948–1958). In 1948, the General Assembly of the
International Astronomical Union The International Astronomical Union (IAU; , UAI) is an international non-governmental organization (INGO) with the objective of advancing astronomy in all aspects, including promoting astronomical research, outreach, education, and developmen ...
was held in
Zürich Zurich (; ) is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zurich. It is in north-central Switzerland, at the northwestern tip of Lake Zurich. , the municipality had 448,664 inhabitants. The ...
. Milankovich is listed as a member of Commission 7 for Celestial Mechanics, and “V. Mishkovitch” as member of Commission 19 for Latitude Variation and Commission 20 for Minor Planets. For a short period, he was the head of the Belgrade Observatory (1948 - 1951). At that time, the
Cold War The Cold War was a period of global Geopolitics, geopolitical rivalry between the United States (US) and the Soviet Union (USSR) and their respective allies, the capitalist Western Bloc and communist Eastern Bloc, which lasted from 1947 unt ...
between nuclear powers began. In 1953, he was at the Congress of the
International Union for Quaternary Research The International Union for Quaternary Research (INQUA) was founded in 1928. It has members from a number of scientific disciplines who study the environmental changes that occurred during the glacial ages, the last 2.6 million years. One g ...
(INQUA) held in
Rome Rome (Italian language, Italian and , ) is the capital city and most populated (municipality) of Italy. It is also the administrative centre of the Lazio Regions of Italy, region and of the Metropolitan City of Rome. A special named with 2, ...
where he was interrupted during his speech by numerous opponents since
radiocarbon dating Radiocarbon dating (also referred to as carbon dating or carbon-14 dating) is a method for Chronological dating, determining the age of an object containing organic material by using the properties of carbon-14, radiocarbon, a radioactive Isotop ...
at that time showed different results than his theory. In the same year, he became a member of the Italian Institute of
Paleontology Paleontology, also spelled as palaeontology or palæontology, is the scientific study of the life of the past, mainly but not exclusively through the study of fossils. Paleontologists use fossils as a means to classify organisms, measure ge ...
. In November 1954, fifty years after receiving his original diploma, he received the Golden Doctor's diploma from the Technical University of Vienna. In 1955, he was also elected as a corresponding member to the Academy of Naturalists "Leopoldina" in Halle,
Saxony-Anhalt Saxony-Anhalt ( ; ) is a States of Germany, state of Germany, bordering the states of Brandenburg, Saxony, Thuringia and Lower Saxony. It covers an area of and has a population of 2.17 million inhabitants, making it the List of German states ...
,
East Germany East Germany, officially known as the German Democratic Republic (GDR), was a country in Central Europe from Foundation of East Germany, its formation on 7 October 1949 until German reunification, its reunification with West Germany (FRG) on ...
. At the same time, Milankovitch began publishing numerous books and
textbooks A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions, but also of learners ( ...
on the history of science, including ''Isaac Newton and Newton's Principia'' (1946), ''The founders of the natural science Pythagoras – Democritus – Aristotle – Archimedes'' (1947), ''History of astronomy – from its beginnings up to 1727'' (1948), ''Through empire of science – images from the lives of great scientists'' (1950), ''Twenty-two centuries of Chemistry'' (1953), and ''Technology in Ancient times'' (1955). In 1955, Milankovitch retired from the position of professor of
celestial mechanics Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to ...
and the
history of astronomy The history of astronomy focuses on the contributions civilizations have made to further their understanding of the universe beyond earth's atmosphere. Astronomy is one of the oldest natural sciences, achieving a high level of success in the sec ...
at the University of Belgrade. In the same year, he published his last work, which is not from the natural sciences, but from his original profession of structural engineering. The paper was titled ''The Tower of Babel of modern technology''. Milankovitch in this work calculated the highest building possible on our Earth. He was inspired by work of
Pieter Bruegel the Elder Pieter Bruegel (also Brueghel or Breughel) the Elder ( , ; ; – 9 September 1569) was among the most significant artists of Dutch and Flemish Renaissance painting, a painter and printmaking, printmaker, known for his landscape art, landscape ...
's Tower of Babel (older version in Vienna). The building would have a base radius of 112.84 km and a height of 21646 m. Since the building penetrates the Earth 1.4 km, it would have a height of 20.25 km above the Earth's surface. At the very top, there would be a wide platform for a meteorological and astronomical station. In September 1957, Milutin suffered a
stroke Stroke is a medical condition in which poor cerebral circulation, blood flow to a part of the brain causes cell death. There are two main types of stroke: brain ischemia, ischemic, due to lack of blood flow, and intracranial hemorrhage, hemor ...
and died in
Belgrade Belgrade is the Capital city, capital and List of cities in Serbia, largest city of Serbia. It is located at the confluence of the Sava and Danube rivers and at the crossroads of the Pannonian Basin, Pannonian Plain and the Balkan Peninsula. T ...
in 1958. He is buried in his family cemetery in
Dalj Dalj ( sr-Cyrl, Даљ, , , ) is a village on the Danube in eastern Croatia, near the confluence of the Drava and Danube, on the border with Serbia. It is located on the D519 (Croatia), D519 road, south of its intersection with the D213 road and t ...
.


On the speed of light

Milanković authored two papers on relativity. He wrote his first paper "On the theory of Michelson's experiment" in 1924. He was doing research in this theory from 1912. His papers on this matter were on special relativity and both are on the Michelson experiment (now known as the
Michelson–Morley experiment The Michelson–Morley experiment was an attempt to measure the motion of the Earth relative to the luminiferous aether, a supposed medium permeating space that was thought to be the carrier of light waves. The experiment was performed between ...
) which produced strong evidence against aether theory. In the light of the Michelson experiment he discussed on the validity of the second postulate of special theory of relativity, that the
speed of light The speed of light in vacuum, commonly denoted , is a universal physical constant exactly equal to ). It is exact because, by international agreement, a metre is defined as the length of the path travelled by light in vacuum during a time i ...
is the same in every reference frame.


Revised Julian calendar

Milanković proposed a revised Julian calendar in 1923. It made centennial years leap years if division by 900 left a remainder of 200 or 600, unlike the Gregorian rule which required that division by 400 left no remainder. (In both systems, the years 2000 and 2400 are leap years.) In May 1923 a congress of some
Eastern Orthodox church The Eastern Orthodox Church, officially the Orthodox Catholic Church, and also called the Greek Orthodox Church or simply the Orthodox Church, is List of Christian denominations by number of members, one of the three major doctrinal and ...
es adopted the calendar;. This is a translation of the paper by Milankovitch in ''Astronomische Nachrichten''. however, only the removal of 1–13 October 1923 and the revised leap year algorithm were adopted by a number of Eastern Orthodox churches. The dates of Easter and related holy days are still computed using the Julian calendar. At the time of Milanković's proposal, it was suspected the period of rotation of Earth might not be constant, but it was not until the development of
quartz Quartz is a hard, crystalline mineral composed of silica (silicon dioxide). The Atom, atoms are linked in a continuous framework of SiO4 silicon–oxygen Tetrahedral molecular geometry, tetrahedra, with each oxygen being shared between two tet ...
and atomic clocks beginning in the 1930s that this could be proven and quantified. The variation in the period of rotation of Earth is the chief cause of long-term inaccuracy in both the Gregorian and Revised Julian calendars.


Awards and honors

On June 25, 1923 he was conferred the Saint Sava Order, 3rd degree. On 1925, he was awarded Tunisian Nichan Iftikhar Order, 3rd degree. On 1929, he was awarded, at the proposal of the Ministry of Finances the White Eagle Order, 5th degree. On 1935, he was awarded Greek decoration - Phoenix Battalion Commander's Cross. On December 20, 1938 he was awarded the Royal Order of the Yugoslav Crown 3rd degree. In 1965, the Academy of Sciences of the Soviet Union named an
impact crater An impact crater is a depression (geology), depression in the surface of a solid astronomical body formed by the hypervelocity impact event, impact of a smaller object. In contrast to volcanic craters, which result from explosion or internal c ...
on the far side of the
Moon The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar ...
as Milankovic, which was later confirmed at the 14th
IAU The International Astronomical Union (IAU; , UAI) is an international non-governmental organization (INGO) with the objective of advancing astronomy in all aspects, including promoting astronomical research, outreach, education, and developmen ...
General Assembly in 1970. His name is also given to a crater on
Mars Mars is the fourth planet from the Sun. It is also known as the "Red Planet", because of its orange-red appearance. Mars is a desert-like rocky planet with a tenuous carbon dioxide () atmosphere. At the average surface level the atmosph ...
at the 15th IAU General Assembly in 1973. Since 1993 the Milutin Milankovic Medal has been awarded by the European Geophysical Society (called the EGU since 2003) for contributions in the area of long-term climate and modeling. A main belt asteroid discovered in 1936 has also been dubbed
1605 Milankovitch 1605 Milankovitch, provisional designation , is an Eoan asteroid from the outer region of the asteroid belt, approximately 31 kilometers in diameter. It was named after Serbian scientist Milutin Milanković. Discovery ''Milankovitch'' was di ...
. At
NASA The National Aeronautics and Space Administration (NASA ) is an independent agencies of the United States government, independent agency of the federal government of the United States, US federal government responsible for the United States ...
, in their edition of " On the Shoulders of Giants", Milanković has been ranked among the top fifteen minds of all time in the field of earth sciences.


Personal life

Milankovitch was a materialistic
monist Monism attributes oneness or singleness () to a concept, such as to existence. Various kinds of monism can be distinguished: * Priority monism states that all existing things go back to a source that is distinct from them; e.g., in Neoplatonis ...
and
determinist Determinism is the metaphysical view that all events within the universe (or multiverse) can occur only in one possible way. Deterministic theories throughout the history of philosophy have developed from diverse and sometimes overlapping mot ...
, according to whom nature is "unique", "boundless, eternal mother of life" and in "the boundless universe, which has no beginning or end in space and time, the same natural laws rule" as on Earth. As a materialist, Milankovitch stood on the position that the universe is eternal, uncreated and indestructible and that the question of its beginning has no meaning. Milanković was a great admirer of
Nikola Tesla Nikola Tesla (;"Tesla"
. ''Random House Webster's Unabridged Dictionary''.
; 10 July 1856 – 7 ...
. On behalf of five academics, Milutin Milanković wrote a recommendation that Nikola Tesla be elected a full member of the Royal Serbian Academy, which was done at a ceremonial meeting on March 7, 1937.


Selected works

* ''Théorie mathématique des phénomènes thermiques produits par la radiation solaire'', XVI, 338 S. – Paris: Gauthier-Villars, 1920 * ''Kroz vasionu i vekove.''
Novi Sad Novi Sad ( sr-Cyrl, Нови Сад, ; #Name, see below for other names) is the List of cities in Serbia, second largest city in Serbia and the capital of the autonomous province of Vojvodina. It is located in the southern portion of the Pannoni ...
: Matica srpska, 1928 * ''Reforma julijanskog kalendara.'' Srpska Kr. Akad. Pos. Izda’na 47: 52 S., Beograd: Sv. Sava, 1923 * ''Mathematische Klimalehre und astronomische Theorie der Klimaschwankungen.'' In: Köppen, W.; Geiger R. (Hrsg.): Handbuch der Klimatologie, Bd. 1: Allgemeine Klimalehre, Berlin: Borntraeger, 1930 * ''Mathematische Klimalehre.'' In: Gutenberg, B. (Hrsg.) Handbuch der Geophysik, Berlin: Borntraeger, 1933 * ''Durch ferne Welten und Zeiten, Briefe eines Weltallbummlers.'' 389 S. – Leipzig: Koehler & Amelang, 1936 * ''Kanon der Erdbestrahlung und seine Anwendung auf das Eiszeitenproblem.'' Académie royale serbe. Éditions speciales; 132 ielm. 133 XX, 633, Belgrad, 1941 * ''Canon of insolation and the ice-age problem.'' English translation by the Israel Program for Scientific Translations, published for the U.S. Department of Commerce and National Science Foundation, Washington, D.C.: 633 S., 1969 * ''Canon of Insolation and the Ice-Age Problem.'' Pantic, N. (Hrsg.), Beograd: Zavod Nastavna Sredstva, 634 S., 1998


See also

* History of climate change science


References


External links


Orbit and Insolation (The Milankovitch-Theory)
at the Freie Universität Berlin, Zentraleinrichtung für AV-Medien
Divine glow of Milanković's canon
on Youtube * * * * *

at Tesla Society *

at NASA
"On the shoulders of giants" series article on Milankovitch
at the NASA Earth Observatory {{DEFAULTSORT:Milankovic, Milutin 1879 births 1958 deaths People from Dalj People from the Kingdom of Serbia Members of the Serbian Orthodox Church Members of the Serbian Academy of Sciences and Arts Recipients of the Order of St. Sava Recipients of the Order of the Yugoslav Crown 20th-century Serbian scientists Serbian astronomers Serbian climatologists Serbian geophysicists Serbian mathematicians Serbian civil engineers 20th-century Serbian engineers Serbian non-fiction writers Serbian science fiction writers TU Wien alumni Academic staff of the University of Belgrade Serbian twins 20th-century Serbian people Serbian Austro-Hungarians Habsburg Serbs