|
Jack Wisdom
Jack Wisdom (born 1953) is a Professor of Planetary Sciences at the Massachusetts Institute of Technology. He received his B.S. from Rice University in 1976 and his Ph.D. from California Institute of Technology in 1981. His research interests are the dynamics of the Solar System. Wisdom pioneered the study of chaos in the solar system. His 1981 dissertation demonstrated for the first time the theoretical reason for the clearing of the Kirkwood gaps in the asteroid belt.2001 Brouwer Award Citation AAS DDA His work has also brought to light the |
Lubbock, Texas
Lubbock ( ) is the 10th-most populous city in the U.S. state of Texas and the seat of government of Lubbock County. With a population of 260,993 in 2021, the city is also the 85th-most populous in the United States. The city is in the northwestern part of the state, a region known historically and geographically as the Llano Estacado, and ecologically is part of the southern end of the High Plains, lying at the economic center of the Lubbock metropolitan area, which has an estimated population of 325,245 in 2021. Lubbock's nickname, "Hub City," derives from it being the economic, educational, and health-care hub of the multicounty region, north of the Permian Basin and south of the Texas Panhandle, commonly called the South Plains. The area is the largest contiguous cotton-growing region in the world and is heavily dependent on water from the Ogallala Aquifer for irrigation. Lubbock is home to Texas Tech University, the sixth-largest college by enrollment in the state. Hi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pluto
Pluto (minor-planet designation: 134340 Pluto) is a dwarf planet in the Kuiper belt, a ring of trans-Neptunian object, bodies beyond the orbit of Neptune. It is the ninth-largest and tenth-most-massive known object to directly orbit the Sun. It is the largest known trans-Neptunian object by volume, by a small margin, but is slightly less massive than Eris (dwarf planet), Eris. Like other Kuiper belt objects, Pluto is made primarily of ice and rock and is much smaller than the inner planets. Compared to Moon, Earth's moon, Pluto has only one sixth its mass and one third its volume. Pluto has a moderately orbital eccentricity, eccentric and inclined orbit, ranging from from the Sun. Light from the Sun takes 5.5 hours to reach Pluto at its average distance (). Pluto's eccentric orbit periodically brings it closer to the Sun than Neptune, but a stable orbital resonance prevents them from colliding. Pluto has moons of Pluto, five known moons: Charon (moon), Charon, the larg ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
3402 Wisdom
3402 Wisdom, provisional designation , is a stony asteroid and Mars-crosser on an eccentric orbit from the inner regions of the asteroid belt, approximately in diameter. It was discovered on 5 August 1981, by American astronomer Edward Bowell at Lowell's Anderson Mesa Station near Flagstaff, Arizona, in the United States. The presumed bright S-type asteroid has a rotation period of 4.99 hours. It was named after American planetary scientist Jack Wisdom. Orbit and classification ''Wisdom'' is a Mars-crossing asteroid, a member of a dynamically unstable group, located between the main belt and the near-Earth populations, and crossing the orbit of Mars at 1.666 AU. It orbits the Sun at a distance of 1.5–2.7 AU once every 3 years and 1 month (1,137 days; semi-major axis of 2.13 AU). Its orbit has an eccentricity of 0.28 and an inclination of 5 ° with respect to the ecliptic. The body's observation arc begins with a precovery taken at Palomar Observatory i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Helen B
Helen may refer to: People * Helen of Troy, in Greek mythology, the most beautiful woman in the world * Helen (actress) (born 1938), Indian actress * Helen (given name), a given name (including a list of people with the name) Places * Helen, Georgia, United States, a small city * Helen, Maryland, United States, an unincorporated place * Helen, Washington, an unincorporated community in Washington state, US * Helen, West Virginia, a census-designated place in Raleigh County * Helen Falls, a waterfall in Ontario, Canada * Lake Helen (other), several places called Helen Lake or Lake Helen * Helen, an ancient name of Makronisos island, Greece * The Hellenic Republic, Greece Arts, entertainment, and media * ''Helen'' (album), a 1981 Grammy-nominated album by Helen Humes * ''Helen'' (2008 film), a British drama starring Annie Townsend * ''Helen'' (2009 film), an American drama film starring Ashley Judd * ''Helen'' (2017 film), an Iranian drama film * ''Helen'' (2019 fil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Phase
In classical and quantum mechanics, geometric phase is a phase difference acquired over the course of a cycle, when a system is subjected to cyclic adiabatic processes, which results from the geometrical properties of the parameter space of the Hamiltonian. The phenomenon was independently discovered by S. Pancharatnam (1956), in classical optics and by H. C. Longuet-Higgins (1958)See page 12 in molecular physics; it was generalized by Sir Michael Berry in (1984). It is also known as the Pancharatnam–Berry phase, Pancharatnam phase, or Berry phase. It can be seen in the conical intersection of potential energy surfaces and in the Aharonov–Bohm effect. Geometric phase around the conical intersection involving the ground electronic state of the C6H3F3+ molecular ion is discussed on pages 385–386 of the textbook by Bunker and Jensen. In the case of the Aharonov–Bohm effect, the adiabatic parameter is the magnetic field enclosed by two interference paths, and it i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Structure And Interpretation Of Classical Mechanics
''Structure and Interpretation of Classical Mechanics'' (''SICM'') is a classical mechanics textbook written by Gerald Jay Sussman and Jack Wisdom with Meinhard E. Mayer. The first edition was published by MIT Press in 2001, and a second edition was released in 2015. The book is used at the Massachusetts Institute of Technology to teach a class in advanced classical mechanics, starting with Lagrange's equations and proceeding through canonical perturbation theory. ''SICM'' explains some physical phenomena by showing computer programs for simulating them. These programs are written in the Scheme programming language, as were the programs in Sussman's earlier computer science textbook, ''Structure and Interpretation of Computer Programs''. Sussman wrote: Classical mechanics is deceptively simple. It is surprisingly easy to get the right answer with fallacious reasoning or without the real understanding. To address this problem Jack Wisdom and I, with help from Hardy Mayer, have w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matthew J
{{disambiguation ...
Matthew may refer to: * Matthew (given name) * Matthew (surname) * ''Matthew'' (ship), the replica of the ship sailed by John Cabot in 1497 * ''Matthew'' (album), a 2000 album by rapper Kool Keith * Matthew (elm cultivar), a cultivar of the Chinese Elm ''Ulmus parvifolia'' Christianity * Matthew the Apostle, one of the apostles of Jesus * Gospel of Matthew, a book of the Bible See also * Matt (given name), the diminutive form of Matthew * Mathew, alternative spelling of Matthew * Matthews (other) * Matthew effect * Tropical Storm Matthew (other) The name Matthew was used for three tropical cyclones in the Atlantic Ocean, replacing Mitch after 1998. * Tropical Storm Matthew (2004) - Brought heavy rain to the Gulf Coast of Louisiana, causing light damage but no deaths. * Tropical Storm Matt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
N-body Problem
In physics, the -body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally.Leimanis and Minorsky: Our interest is with Leimanis, who first discusses some history about the -body problem, especially Ms. Kovalevskaya's 1868–1888 twenty-year complex-variables approach, failure; Section 1: "The Dynamics of Rigid Bodies and Mathematical Exterior Ballistics" (Chapter 1, "The motion of a rigid body about a fixed point (Euler and Poisson equations)"; Chapter 2, "Mathematical Exterior Ballistics"), good precursor background to the -body problem; Section 2: "Celestial Mechanics" (Chapter 1, "The Uniformization of the Three-body Problem (Restricted Three-body Problem)"; Chapter 2, "Capture in the Three-Body Problem"; Chapter 3, "Generalized -body Problem"). Solving this problem has been motivated by the desire to understand the motions of the Sun, Moon, planets, and visible stars. In the 20th century, unde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symplectic Integrator
In mathematics, a symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems. Symplectic integrators form the subclass of geometric integrators which, by definition, are canonical transformations. They are widely used in nonlinear dynamics, molecular dynamics, discrete element methods, accelerator physics, plasma physics, quantum physics, and celestial mechanics. Introduction Symplectic integrators are designed for the numerical solution of Hamilton's equations, which read :\dot p = -\frac \quad\mbox\quad \dot q = \frac, where q denotes the position coordinates, p the momentum coordinates, and H is the Hamiltonian. The set of position and momentum coordinates (q,p) are called canonical coordinates. (See Hamiltonian mechanics for more background.) The time evolution of Hamilton's equations is a symplectomorphism, meaning that it conserves the symplectic 2-form dp \wedge dq. A numerical scheme is a symplectic integrator if it also conserves this 2-form. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 produce ephemeris data. History Modern analytic celestial mechanics started with Isaac Newton's Principia of 1687. The name "celestial mechanics" is more recent than that. Newton wrote that the field should be called "rational mechanics." The term "dynamics" came in a little later with Gottfried Leibniz, and over a century after Newton, Pierre-Simon Laplace introduced the term "celestial mechanics." Prior to Kepler there was little connection between exact, quantitative prediction of planetary positions, using geometrical or arithmetical techniques, and contemporary discussions of the physical causes of the planets' motion. Johannes Kepler Johannes Kepler (1571–1630) was the first to closely integrate the predictive geom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moon
The Moon is Earth's only natural satellite. It is the fifth largest satellite in the Solar System and the largest and most massive relative to its parent planet, with a diameter about one-quarter that of Earth (comparable to the width of Australia). The Moon is a planetary-mass object with a differentiated rocky body, making it a satellite planet under the geophysical definitions of the term and larger than all known dwarf planets of the Solar System. It lacks any significant atmosphere, hydrosphere, or magnetic field. Its surface gravity is about one-sixth of Earth's at , with Jupiter's moon Io being the only satellite in the Solar System known to have a higher surface gravity and density. The Moon orbits Earth at an average distance of , or about 30 times Earth's diameter. Its gravitational influence is the main driver of Earth's tides and very slowly lengthens Earth's day. The Moon's orbit around Earth has a sidereal period of 27.3 days. During each synodic period ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nature (journal)
''Nature'' is a British weekly scientific journal founded and based in London, England. As a multidisciplinary publication, ''Nature'' features peer-reviewed research from a variety of academic disciplines, mainly in science and technology. It has core editorial offices across the United States, continental Europe, and Asia under the international scientific publishing company Springer Nature. ''Nature'' was one of the world's most cited scientific journals by the Science Edition of the 2019 ''Journal Citation Reports'' (with an ascribed impact factor of 42.778), making it one of the world's most-read and most prestigious academic journals. , it claimed an online readership of about three million unique readers per month. Founded in autumn 1869, ''Nature'' was first circulated by Norman Lockyer and Alexander Macmillan as a public forum for scientific innovations. The mid-20th century facilitated an editorial expansion for the journal; ''Nature'' redoubled its efforts in exp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.svg "Click for more on -> Lubbock, Texas")
.svg "Click for more on -> Pluto")
.svg "Click for more on -> Moon")
