Ballistics

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Trajectories of three objects thrown at the same angle (70deg). The black object does not experience any form of drag and moves along a parabola. The blue object experiences Stokes' drag, and the green object Newtonian drag. Inclinedthrow.gif
Trajectories of three objects thrown at the same angle (70°). The black object does not experience any form of drag and moves along a parabola. The blue object experiences Stokes' drag, and the green object Newtonian drag.

Ballistics is the field of mechanics concerned with the launching, flight behaviour and impact effects of projectiles, especially ranged weapon munitions such as bullets, unguided bombs, rockets or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance.

Contents

A ballistic body is a free-moving body with momentum 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, 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 which is aerodynamically guided in powered flight like a fixed-wing aircraft.

History and prehistory

The earliest known ballistic projectiles were stones and spears, [1] [2] and the throwing stick.

Gaetano Marzagaglia, Del calcolo balistico, 1748 Marzagaglia, Gaetano - Del calcolo balistico, 1748 - BEIC 11380801.jpg
Gaetano Marzagaglia, Del calcolo balistico, 1748

The oldest evidence of stone-tipped projectiles, which may or may not have been propelled by a bow (c.f. atlatl), dating to c. 280,000 years ago, were found in Ethiopia, present day-East-Africa. [3] 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. [4] 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 around 1000 AD, and by the 12th century the technology was spreading through the rest of Asia, and into Europe by the 13th century. [5]

After millennia of empirical development, the discipline of ballistics was initially studied and developed by Italian mathematician Niccolò Tartaglia in 1531, [6] [7] 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 established the principle of compound motion in 1638, [8] using the principle to derive the parabolic form of the ballistic trajectory. [9] Ballistics was put on a solid scientific and mathematical basis by Isaac Newton, with the publication of Philosophiæ Naturalis Principia Mathematica in 1687. This gave mathematical laws of motion and gravity which for the first time made it possible to successfully predict trajectories.[ citation needed ]

The word ballistics comes from the Greek βάλλεινballein, meaning "to throw".

Projectiles

A projectile is any object projected into space (empty or not) by the exertion of a force. Although any object in motion through space (for example a thrown baseball) is a projectile, the term most commonly refers to a ranged weapon. [10] [11] Mathematical equations of motion are used to analyze projectile trajectory.[ citation needed ]

Examples of projectiles include balls, arrows, bullets, artillery shells, wingless rockets, etc.[ citation needed ]

Projectile launchers

Throwing

Baseball throws can exceed 100 mph. MattKataThrowing.jpg
Baseball throws can exceed 100 mph.

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. [13] The 90 mph throwing speed found in many athletes far exceeds the speed at which chimpanzees can throw things, which is about 20 mph. [13] This ability reflects the ability of the human shoulder muscles and tendons to store elasticity until it is needed to propel an object. [13]

Sling

A sling is a projectile weapon typically used to throw a blunt projectile 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 arrows. The arrow is perhaps the first lethal projectile ever described in discussion of ballistics. 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. [14] Archery is the art or sport of shooting arrows from bows. [15]

Catapult

Catapult 1 Mercato San Severino Catapult 1 Mercato San Severino.jpg
Catapult 1 Mercato San Severino

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. [16] 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 catapulta, which in turn comes from the Greek καταπέλτης (katapeltēs), itself from κατά (kata), "against” [17] and πάλλω (pallō), "to toss, to hurl". [18] [19] Catapults were invented by the ancient Greeks. [20] [21]

Gun

USS Iowa (BB-61) fires a full broadside, 1984. Uss iowa bb-61 pr.jpg
USS Iowa (BB-61) fires a full broadside, 1984.

A gun is a normally tubular weapon or other device designed to discharge projectiles or other material. [22] 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 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 or armourer who applies the scientific principles of ballistics to design cartridges are often called a ballistician.

Rocket

SpaceX's Falcon 9 Full Thrust rocket, 2017 Iridium-1 Launch (32312419215).jpg
SpaceX's Falcon 9 Full Thrust rocket, 2017

A rocket is a missile, spacecraft, aircraft or other vehicle that obtains thrust from a rocket engine. Rocket engine exhaust is formed entirely from propellants carried within the rocket before use. [23] Rocket engines work by action and reaction. 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. [24] 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, and space exploration.

Chemical rockets are the most common type of high performance rocket and they typically create their exhaust by the combustion of rocket propellant. 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 can be studied using high-speed photography or high-speed cameras. A photo of a Smith & Wesson revolver firing, taken with an ultra high speed air-gap flash. Using this sub-microsecond flash, the bullet can be imaged without motion blur. Bullet coming from S&W.jpg
Ballistics can be studied using high-speed photography or high-speed cameras. A photo of a Smith & Wesson revolver firing, taken with an ultra high speed air-gap flash. Using this sub-microsecond flash, the bullet can be imaged without motion blur.

Ballistics is often broken down into the following four categories: [25]

Internal ballistics

Internal ballistics (also interior ballistics), a sub-field of ballistics, is the study of the propulsion of a projectile.

In guns, internal ballistics covers the time from the propellant's ignition until the projectile exits the gun barrel. [26] The study of internal ballistics is important to designers and users of firearms of all types, from small-bore rifles and pistols, to high-tech artillery.

For rocket propelled projectiles, internal ballistics covers the period during which a rocket engine is providing thrust. [27]

Transitional ballistics

Transitional ballistics, also known as intermediate ballistics, [28] is the study of a projectile's behavior from the time it leaves the muzzle until the pressure behind the projectile is equalized, [29] so it lies between internal ballistics and external ballistics.

External ballistics

Schlieren image of a bullet travelling in free-flight demonstrating the air pressure dynamics surrounding the bullet

External ballistics is the part of the science of ballistics that deals with the behaviour of a non-powered projectile in flight.

External ballistics is frequently associated with firearms, and deals with the unpowered free-flight phase of the bullet after it exits the gun barrel and before it hits the target, so it lies between transitional ballistics 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 when it hits its target. [30]

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

Apollo 11 - Astrodynamic calculations have permitted spacecraft to travel to and return from the Moon. Apollo 11 lunar module.jpg
Apollo 11  – Astrodynamic calculations have permitted spacecraft to travel to and return from the Moon.

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

  1. "Archytas of Tar entum." Archived December 26, 2008, at the Wayback Machine Technology Museum of Thessaloniki, Macedonia, Greece/ Retrieved: May 6, 2012.
  2. "Ancient history." Archived 2002-12-05 at the Wayback Machine Automata. Retrieved May 6, 2012.
  3. Choi, Charles (2013-12-27). "Oldest Javelins Predate Modern Humans, Raise Questions on Evolution". National Geographic. Retrieved 2024-04-24.
  4. McEwen E, Bergman R, Miller C. Early bow design and construction. Scientific American 1991 vol. 264, pp. 76–82.
  5. Herbst, Judith (2005). The History of Weapons. Lerner Publications. ISBN   9780822538059 . Retrieved 16 March 2018 via Google Books.
  6. Ballistics in the Seventeenth Century: A Study in the Relations of Science and War with Reference Principally to England, CUP Archive, 1952, p. 36
  7. Niccolo' Tartaglia, Nova Scientia, 1537. (a treatise on gunnery and ballistics).
  8. Galileo Galilei, Two New Sciences , Leiden, 1638, p. 249
  9. Nolte, David D. Galileo Unbound (Oxford University Press, 2018) pp. 39–63.
  10. "The free Dictionary" . Retrieved 2010-05-19.
  11. "Dictionary.com" . Retrieved 2010-05-19.
  12. Pepin, Matt (2010-08-26). "Aroldis Chapman hits 105 mph". Boston.com. Archived from the original on 31 August 2010. Retrieved 2010-08-30.
  13. 1 2 3 Melissa Hogenboom, "Origins of human throwing unlocked", BBC News (26 June 2013).
  14. Paterson Encyclopaedia of Archery pp. 27–28
  15. Paterson Encyclopaedia of Archery p. 17
  16. Gurstelle 2004.
  17. Liddell & Scott, κατά.
  18. Liddell & Scott, πάλλω.
  19. Oxford Dic, catapult.
  20. Schellenberg 2006, pp. 14–23.
  21. Marsden 1969, pp. 48–64.
  22. The Chambers Dictionary, Allied Chambers - 1998, "gun", p. 717
  23. Sutton 2001, chapter 1.
  24. MSFC History Office 2000.
  25. U.S. Marine Corps (1996). FM 6-40 Tactics, Techniques, and Procedures for Field Artillery Manual Cannonry. Department of the Army.
  26. US Army 1965 , pp. 1–2
  27. "Definition of BALLISTICS". www.merriam-webster.com. Retrieved 16 March 2018.
  28. Ballistics at Encyclopædia Britannica Online, Accessed April 27, 2009
  29. Physics 001 The Science of Ballistics Archived 2012-02-22 at the Wayback Machine accessed Apr 27, 2009
  30. Terminal Ballistics Test and Analysis Guidelines for the Penetration Mechanics Branch  – BRL

Related Research Articles

<span class="mw-page-title-main">Catapult</span> Pre-gunpowder projectile-launching device

A catapult is a ballistic device used to launch a projectile a great distance without the aid of gunpowder or other propellants – particularly various types of ancient and medieval siege engines. A catapult uses the sudden release of stored potential energy to propel its payload. Most convert tension or torsion energy that was more slowly and manually built up within the device before release, via springs, bows, twisted rope, elastic, or any of numerous other materials and mechanisms.

<span class="mw-page-title-main">Missile</span> Self-propelled guided weapon system

A missile is an airborne ranged weapon capable of self-propelled flight aided usually by a propellant, jet engine or rocket motor.

<span class="mw-page-title-main">Sling (weapon)</span> Ranged weapon to throw projectiles

A sling is a projectile weapon typically used to hand-throw a blunt projectile such as a stone, clay, or lead "sling-bullet". It is also known as the shepherd's sling or slingshot. Someone who specializes in using slings is called a slinger.

<span class="mw-page-title-main">Bullet</span> Projectile propelled by a firearm, sling, or air gun

A bullet is a kinetic projectile, a component of firearm ammunition that is shot from a gun barrel. They are made of a variety of materials, such as copper, lead, steel, polymer, rubber and even wax; and are made in various shapes and constructions, including specialized functions such as hunting, target shooting, training, and combat. Bullets are often tapered, making them more aerodynamic. Bullet size is expressed by weight and diameter in both imperial and metric measurement systems. Bullets do not normally contain explosives but strike or damage the intended target by transferring kinetic energy upon impact and penetration.

<span class="mw-page-title-main">Projectile</span> Object propelled through the air

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 warfare and sports.

<span class="mw-page-title-main">External ballistics</span> Behavior of projectiles in flight

External ballistics or exterior ballistics is the part of ballistics that deals with the behavior of a projectile in flight. The projectile may be powered or un-powered, guided or unguided, spin or fin stabilized, flying through an atmosphere or in the vacuum of space, but most certainly flying under the influence of a gravitational field.

<span class="mw-page-title-main">Smoothbore</span> Weapon that has a barrel without rifling

A smoothbore weapon is one that has a barrel without rifling. Smoothbores range from handheld firearms to powerful tank guns and large artillery mortars.

<span class="mw-page-title-main">Gun barrel</span> Firearm component which guides the projectile during acceleration

A gun barrel is a crucial part of gun-type weapons such as small firearms, artillery pieces, and air guns. It is the straight shooting tube, usually made of rigid high-strength metal, through which a contained rapid expansion of high-pressure gas(es) is used to propel a projectile out of the front end (muzzle) at a high velocity. The hollow interior of the barrel is called the bore, and the diameter of the bore is called its caliber, usually measured in inches or millimetres.

Internal ballistics, a subfield of ballistics, is the study of the propulsion of a projectile.

Hitscan in video game design, most commonly in first-person shooters, is a type of hit registration system that determines whether an object has been hit or not simply by scanning if the item used was aimed directly at its target and then applies the effects of the item instantly. A weapon, for example, does not launch a projectile the player needs to lead, damage is applied as soon as the player's crosshair is on a target and the fire button is pressed. Internally, this is most commonly done by simulating a ray from the origin of the item along the trajectory of the "projectile" and simply scanning for any objects touching the ray. Games might still show a visual of a projectile although it technically has no effect. In contrast, a projectile-based weapon would launch an actual projectile object that moves through the virtual space at a certain speed and will apply damage only once it has actually touched ("hit") a target.

<span class="mw-page-title-main">Ranged weapon</span> Any weapon that can engage targets beyond hand-to-hand distance

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 sometimes also called projectile weapon or missile weapon because it typically works by launching solid projectiles ("missiles"), though technically a fluid-projector and a directed-energy weapon are also ranged weapons. In contrast, a weapon intended to be used in hand-to-hand combat is called a melee weapon.

Darts are airborne ranged weapons. They are designed to fly such that a sharp, often weighted point will strike first. They can be distinguished from javelins by the presence of fletching and a shaft that is shorter and/or more flexible. Darts can be propelled by hand or with the aid of a hand-held implement such as a blowgun. They can be distinguished from arrows because they are not used with a bow.

<span class="mw-page-title-main">Ballistic coefficient</span> Physical measure of overcoming air resistance

In ballistics, the ballistic coefficient of a body is a measure of its ability to overcome air resistance in flight. It is inversely proportional to the negative acceleration: a high number indicates a low negative acceleration—the drag on the body is small in proportion to its mass. BC can be expressed with the units kilograms per square meter (kg/m2) or pounds per square inch (lb/in2).

A very-low-drag bullet (VLD) is primarily a small arms ballistics development of the 1980s–1990s, driven by the design objective of bullets with higher degrees of accuracy and kinetic efficiency, especially at extended ranges. To achieve this, the projectile must minimize air resistance in flight. Usage has been greatest from military snipers and long-range target shooters, including F-class and benchrest competitors, but hunters have also benefited. Most VLD bullets are used in rifles. VLD bullets typically have a ballistic coefficient greater than 0.5, although the threshold is undefined.

<span class="mw-page-title-main">Gun chronograph</span> A tool used to measure projectile speed

A ballistic chronograph or gun chronograph is a measuring instrument used to measure the velocity of a projectile in flight, typically fired from a gun or other firearm. The instrument is often useful for tasks such as gauging the utility of a firearm or safety of non-lethal projectiles fired from items such as a paintball gun or BB gun.

The following are terms related to firearms and ammunition topics.

<span class="mw-page-title-main">Kinetic energy weapon</span> Weapon based solely on a projectiles kinetic energy

A kinetic energy weapon is a projectile weapon based solely on a projectile's kinetic energy to inflict damage to a target, instead of using any explosive, incendiary/thermal, chemical or radiological payload. All kinetic weapons work by attaining a high flight speed — generally supersonic or even up to hypervelocity — and collide with their targets, converting its kinetic energy and relative impulse into destructive shock waves, heat and cavitation. In kinetic weapons with unpowered flight, the muzzle velocity or launch velocity often determines the effective range and potential damage of the kinetic projectile.

<span class="mw-page-title-main">Ammunition</span> Material fired, scattered, dropped, or detonated from a weapon or weapon system

Ammunition is the material fired, scattered, dropped, or detonated from any weapon or weapon system. Ammunition is both expendable weapons and the component parts of other weapons that create the effect on a target.

<span class="mw-page-title-main">Ballistic Research Laboratory</span> Defunct research facility of the United States Army

The Ballistic Research Laboratory (BRL) was a research facility under the U.S. Army Ordnance Corps and later the U.S. Army Materiel Command that specialized in ballistics as well as vulnerability and lethality analysis. Situated at Aberdeen Proving Ground, Maryland, BRL served as a major Army center for research and development in technologies related to weapon phenomena, armor, accelerator physics, and high-speed computing. In 1992, BRL was disestablished, and its mission, personnel, and facilities were incorporated into the newly created U.S. Army Research Laboratory (ARL).

<span class="mw-page-title-main">Throwing</span> Action of launching mass

Throwing is a physical action which consists of mechanically accelerating a projectile and then releasing it into a ballistic trajectory, usually with the aim of impacting a distant target. This action typically refers to hand-throwing by animals with prehensile forelimbs. In this case, the projectile is grasped in a hand while the proximal limb segments move through compounded kinematic chains to impart a mechanical advantaged swinging motion. For other animals, the definition of throwing is somewhat unclear, as other actions such as spitting or spraying may or may not be included.

References