Ballistics is the field of
mechanics concerned with the launching,
flight behaviour and impact effects of
projectile
A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance. Although any objects in motion through space are projectiles, they are commonly found in ...
s, especially
ranged weapon
A ranged weapon is any weapon that can engage targets beyond hand-to-hand distance, i.e. at distances greater than the physical reach of the user holding the weapon itself. The act of using such a weapon is also known as shooting. It is someti ...
munitions such as
bullet
A bullet is a kinetic projectile, a component of firearm ammunition that is shot from a gun barrel. Bullets are made of a variety of materials, such as copper, lead, steel, polymer, rubber and even wax. Bullets are made in various shapes and co ...
s,
unguided bombs,
rockets or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance.
A ballistic body is a free-moving body with
momentum
In Newtonian mechanics, momentum (more specifically linear momentum or translational momentum) is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction. If is an object's mass an ...
which can be subject to forces such as the forces exerted by pressurized gases from a
gun barrel or a
propelling nozzle,
normal force by
rifling
In firearms, rifling is machining helical grooves into the internal (bore) surface of a gun's barrel for the purpose of exerting torque and thus imparting a spin to a projectile around its longitudinal axis during shooting to stabilize the pro ...
, and
gravity and
air drag during flight.
A
ballistic missile is a
missile that is
guided only during the relatively brief initial phase of powered flight and the
trajectory is subsequently governed by the laws of
classical mechanics; in contrast to (for example) a
cruise missile
A cruise missile is a guided missile used against terrestrial or naval targets that remains in the atmosphere and flies the major portion of its flight path at approximately constant speed. Cruise missiles are designed to deliver a large warhe ...
which is
aerodynamically guided in powered flight like a
fixed-wing aircraft
A fixed-wing aircraft is a heavier-than-air flying machine, such as an airplane, which is capable of flight using wings that generate lift caused by the aircraft's forward airspeed and the shape of the wings. Fixed-wing aircraft are distinc ...
.
History and prehistory
The earliest known ballistic projectiles were stones and spears, and the
throwing stick.
The oldest evidence of stone-tipped projectiles, which may or may not have been propelled by a bow (c.f.
atlatl), dating to c. 64,000 years ago, were found in
Sibudu Cave, present day-
South Africa.
The oldest evidence of the use of bows to shoot arrows dates to about 10,000 years ago; it is based on pinewood arrows found in the Ahrensburg valley north of
Hamburg. They had shallow grooves on the base, indicating that they were shot from a bow. The oldest bow so far recovered is about 8,000 years old, found in the
Holmegård swamp in Denmark.
Archery seems to have arrived in the Americas with the
Arctic small tool tradition, about 4,500 years ago.
The first devices identified as guns appeared in
China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and ...
around 1000 AD, and by the 12th century the technology was spreading through the rest of Asia, and into Europe by the 13th century.
After millennia of empirical development, the discipline of ballistics was initially studied and developed by Italian mathematician
Niccolò Tartaglia in 1531, although he continued to use segments of straight-line motion, conventions established by the Greek philosopher
Aristotle and
Albert of Saxony, but with the innovation that he connected the straight lines by a circular arc.
Galileo
Galileo di Vincenzo Bonaiuti de' Galilei (15 February 1564 – 8 January 1642) was an Italian astronomer, physicist and engineer, sometimes described as a polymath. Commonly referred to as Galileo, his name was pronounced (, ). He was ...
established the principle of
compound motion in 1638, using the principle to derive the parabolic form of the ballistic trajectory. Ballistics was put on a solid scientific and mathematical basis by
Isaac Newton, with the publication of
Philosophiæ Naturalis Principia Mathematica
(English: ''Mathematical Principles of Natural Philosophy'') often referred to as simply the (), is a book by Isaac Newton that expounds Newton's laws of motion and his law of universal gravitation. The ''Principia'' is written in Latin and ...
in 1687. This gave mathematical laws of motion and gravity which for the first time made it possible to successfully predict trajectories.
The word ''ballistics'' comes from the
Greek , meaning "to throw".
Projectiles
A projectile is any object projected into
space (empty or not) by the exertion of a
force
In physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a p ...
. Although any object in motion through space (for example a thrown
baseball) is a projectile, the term most commonly refers to a
ranged weapon
A ranged weapon is any weapon that can engage targets beyond hand-to-hand distance, i.e. at distances greater than the physical reach of the user holding the weapon itself. The act of using such a weapon is also known as shooting. It is someti ...
. Mathematical
equations of motion are used to analyze projectile
trajectory.
Examples of projectiles include
ball
A ball is a round object (usually spherical, but can sometimes be ovoid) with several uses. It is used in ball games, where the play of the game follows the state of the ball as it is hit, kicked or thrown by players. Balls can also be used f ...
s,
arrow
An arrow is a fin-stabilized projectile launched by a bow. A typical arrow usually consists of a long, stiff, straight shaft with a weighty (and usually sharp and pointed) arrowhead attached to the front end, multiple fin-like stabilizers c ...
s,
bullet
A bullet is a kinetic projectile, a component of firearm ammunition that is shot from a gun barrel. Bullets are made of a variety of materials, such as copper, lead, steel, polymer, rubber and even wax. Bullets are made in various shapes and co ...
s,
artillery shell
A shell, in a military context, is a projectile whose payload contains an explosive, incendiary, or other chemical filling. Originally it was called a bombshell, but "shell" has come to be unambiguous in a military context. Modern usage ...
s, wingless
rockets, etc.
Projectile launchers
Throwing
Throwing is the launching of a projectile by hand. Although some other animals can throw, humans are unusually good throwers due to their high dexterity and good timing capabilities, and it is believed that this is an evolved trait. Evidence of human throwing dates back 2 million years.
[Melissa Hogenboom,]
Origins of human throwing unlocked
, '' BBC News'' (26 June 2013). The 90 mph throwing speed found in many athletes far exceeds the speed at which
chimpanzee
The chimpanzee (''Pan troglodytes''), also known as simply the chimp, is a species of great ape native to the forest and savannah of tropical Africa. It has four confirmed subspecies and a fifth proposed subspecies. When its close relative th ...
s can throw things, which is about 20 mph.
This ability reflects the ability of the human
shoulder muscle
Skeletal muscles (commonly referred to as muscles) are organs of the vertebrate muscular system and typically are attached by tendons to bones of a skeleton. The muscle cells of skeletal muscles are much longer than in the other types of muscl ...
s and
tendons to store
elasticity
Elasticity often refers to:
*Elasticity (physics), continuum mechanics of bodies that deform reversibly under stress
Elasticity may also refer to:
Information technology
* Elasticity (data store), the flexibility of the data model and the cl ...
until it is needed to propel an object.
Sling
A sling is a projectile
weapon typically used to throw a blunt
projectile
A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance. Although any objects in motion through space are projectiles, they are commonly found in ...
such as a stone, clay or lead "
sling-bullet".
A sling has a small cradle or ''pouch'' in the middle of two lengths of cord. The ''sling stone'' is placed in the pouch. The middle finger or thumb is placed through a loop on the end of one cord, and a tab at the end of the other cord is placed between the thumb and forefinger. The sling is swung in an arc, and the tab released at a precise moment. This frees the projectile to fly to the target.
Bow
A bow is a flexible piece of material which shoots aerodynamic projectiles called
arrow
An arrow is a fin-stabilized projectile launched by a bow. A typical arrow usually consists of a long, stiff, straight shaft with a weighty (and usually sharp and pointed) arrowhead attached to the front end, multiple fin-like stabilizers c ...
s. A string joins the two ends and when the string is drawn back, the ends of the stick are flexed. When the string is released, the potential energy of the flexed stick is transformed into the velocity of the arrow.
[Paterson ''Encyclopaedia of Archery'' pp. 27–28] Archery
Archery is the sport, practice, or skill of using a bow to shoot arrows.Paterson ''Encyclopaedia of Archery'' p. 17 The word comes from the Latin ''arcus'', meaning bow. Historically, archery has been used for hunting and combat. In m ...
is the art or sport of shooting arrows from bows.
[Paterson ''Encyclopaedia of Archery'' p. 17]
Catapult
A catapult is a device used to launch a projectile a great distance without the aid of explosive devices – particularly various types of ancient and medieval
siege engines. The catapult has been used since ancient times, because it was proven to be one of the most effective mechanisms during warfare. The word "catapult" comes from the
Latin , which in turn comes from the
Greek (), itself from (), "against” and (), "to toss, to hurl". Catapults were invented by the
ancient Greeks.
Gun
A gun is a normally tubular
weapon or other device designed to discharge
projectile
A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance. Although any objects in motion through space are projectiles, they are commonly found in ...
s or other material. The projectile may be solid, liquid, gas, or energy and may be free, as with bullets and artillery shells, or captive as with
Taser probes and
whaling harpoons. The means of projection varies according to design but is usually effected by the action of gas pressure, either produced through the rapid combustion of a
propellant
A propellant (or propellent) is a mass that is expelled or expanded in such a way as to create a thrust or other motive force in accordance with Newton's third law of motion, and "propel" a vehicle, projectile, or fluid payload. In vehicles, the e ...
or compressed and stored by mechanical means, operating on the projectile inside an open-ended tube in the fashion of a piston. The confined gas accelerates the movable projectile down the length of the tube imparting sufficient velocity to sustain the projectile's travel once the action of the gas ceases at the end of the tube or muzzle. Alternatively, acceleration via electromagnetic field generation may be employed in which case the tube may be dispensed with and a guide rail substituted.
A
weapons engineer
Military technology is the application of technology for use in warfare. It comprises the kinds of technology that are distinctly military in nature and not civilian in application, usually because they lack useful or legal civilian application ...
or
armourer who applies the
scientific principle
Scientific laws or laws of science are statements, based on repeated experiments or observations, that describe or predict a range of natural phenomena. The term ''law'' has diverse usage in many cases (approximate, accurate, broad, or narrow) ...
s of ballistics to design
cartridges are often called a ballistician.
Rocket
A rocket is a
missile,
spacecraft,
aircraft or other
vehicle that obtains
thrust from a
rocket engine. Rocket engine exhaust is formed entirely from
propellant
A propellant (or propellent) is a mass that is expelled or expanded in such a way as to create a thrust or other motive force in accordance with Newton's third law of motion, and "propel" a vehicle, projectile, or fluid payload. In vehicles, the e ...
s carried within the rocket before use. Rocket engines work by
action and reaction As described by the third of Newton's laws of motion of classical mechanics, all forces occur in pairs such that if one object exerts a force on another object, then the second object exerts an equal and opposite reaction force on the first. The t ...
. Rocket engines push rockets forward simply by throwing their exhaust backwards extremely fast.
While comparatively inefficient for low speed use, rockets are relatively lightweight and powerful, capable of generating large accelerations and of attaining
extremely high speeds with reasonable efficiency. Rockets are not reliant on the atmosphere and work very well in space.
Rockets for military and recreational uses date back to at least 13th century
China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and ...
. Significant scientific, interplanetary and industrial use did not occur until the 20th century, when rocketry was the enabling technology for the
Space Age, including
setting foot on the Moon. Rockets are now used for
fireworks,
weaponry,
ejection seats,
launch vehicles for artificial
satellites,
human spaceflight
Human spaceflight (also referred to as manned spaceflight or crewed spaceflight) is spaceflight with a crew or passengers aboard a spacecraft, often with the spacecraft being operated directly by the onboard human crew. Spacecraft can also be ...
, and
space exploration
Space exploration is the use of astronomy and space technology to explore outer space. While the exploration of space is carried out mainly by astronomers with telescopes, its physical exploration though is conducted both by robotic spacec ...
.
Chemical rocket
A rocket engine uses stored rocket propellants as the reaction mass for forming a high-speed propulsive jet of fluid, usually high-temperature gas. Rocket engines are reaction engines, producing thrust by ejecting mass rearward, in accordance ...
s are the most common type of high performance rocket and they typically create their exhaust by the combustion of
rocket propellant
Rocket propellant is the reaction mass of a rocket. This reaction mass is ejected at the highest achievable velocity from a rocket engine
A rocket engine uses stored rocket propellants as the reaction mass for forming a high-speed propuls ...
. Chemical rockets store a large amount of energy in an easily released form, and can be very dangerous. However, careful design, testing, construction and use minimizes risks.
Subfields
Ballistics is often broken down into the following four categories:
* ''Internal ballistics'' the study of the processes originally accelerating projectiles
* ''Transition ballistics'' the study of projectiles as they transition to unpowered flight
* ''External ballistics'' the study of the passage of the projectile (the
trajectory) in flight
* ''Terminal ballistics'' the study of the projectile and its effects as it ends its flight
Internal ballistics
Internal ballistics (also interior ballistics), a sub-field of ballistics, is the study of the
propulsion of a
projectile
A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance. Although any objects in motion through space are projectiles, they are commonly found in ...
.
In
guns internal ballistics covers the time from the
propellant
A propellant (or propellent) is a mass that is expelled or expanded in such a way as to create a thrust or other motive force in accordance with Newton's third law of motion, and "propel" a vehicle, projectile, or fluid payload. In vehicles, the e ...
's ignition until the projectile exits the
gun barrel. The study of internal ballistics is important to
designers and users of firearms of all types, from small-bore
rifle
A rifle is a long-barreled firearm designed for accurate shooting, with a barrel that has a helical pattern of grooves ( rifling) cut into the bore wall. In keeping with their focus on accuracy, rifles are typically designed to be held with ...
s and
pistol
A pistol is a handgun, more specifically one with the chamber integral to its gun barrel, though in common usage the two terms are often used interchangeably. The English word was introduced in , when early handguns were produced in Europe, an ...
s, to high-tech
artillery.
For
rocket propelled projectiles, internal ballistics covers the period during which a
rocket engine is providing thrust.
Transitional ballistics
Transitional ballistics, also known as intermediate ballistics,
[Ballistics](_blank)
at Encyclopædia Britannica Online, Accessed April 27, 2009 is the study of a projectile's behavior from the time it leaves the muzzle until the pressure behind the projectile is equalized, so it lies between
internal ballistics and
external ballistics.
External ballistics
External ballistics is the part of the science of ballistics that deals with the behaviour of a non-powered
projectile
A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance. Although any objects in motion through space are projectiles, they are commonly found in ...
in flight.
External ballistics is frequently associated with
firearm
A firearm is any type of gun designed to be readily carried and used by an individual. The term is legally defined further in different countries (see Legal definitions).
The first firearms originated in 10th-century China, when bamboo tubes ...
s, and deals with the unpowered free-flight phase of the
bullet
A bullet is a kinetic projectile, a component of firearm ammunition that is shot from a gun barrel. Bullets are made of a variety of materials, such as copper, lead, steel, polymer, rubber and even wax. Bullets are made in various shapes and co ...
after it exits the
gun barrel and before it hits the target, so it lies between
transitional ballistics
Transitional ballistics, also known as intermediate ballistics,[Ballistics](_blank)
at Encyclopædia ...
and
terminal ballistics.
However, external ballistics is also concerned with the free-flight of rockets and other projectiles, such as balls, arrows etc.
Terminal ballistics
Terminal ballistics is the study of the behavior and effects of a
projectile
A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance. Although any objects in motion through space are projectiles, they are commonly found in ...
when it hits its target.
Terminal Ballistics Test and Analysis Guidelines for the Penetration Mechanics Branch
nbsp;– BRL
Terminal ballistics is relevant both for small caliber projectiles as well as for large caliber projectiles (fired from artillery). The study of extremely high velocity impacts is still very new and is as yet mostly applied to spacecraft design.
Applications
Forensic ballistics
Forensic ballistics involves analysis of bullets and bullet impacts to determine information of use to a court or other part of a legal system. Separately from ballistics information, firearm and tool mark examinations (" ballistic fingerprinting") involve analyzing firearm, ammunition, and tool mark evidence in order to establish whether a certain firearm or tool was used in the commission of a crime.
Astrodynamics
Astrodynamics is the application of ballistics and celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft. The motion of these objects is usually calculated from Newton's laws of motion and Newton's law of universal gravitation. It is a core discipline within space mission design and control.
See also
Notes
References
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κατά
πάλλω
* .
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External links
Association of Firearm and Tool Mark Examiners
Ballistic Trajectories
by Jeff Bryant, The Wolfram Demonstrations Project
Forensic Firearms and Tool Marks Time Line
International Ballistics Society
The Bullet's Flight from Powder to Target
ranklin Weston Mann
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