In the Military science concerns itself with the study and of the diverse technical, psychological, and practical phenomena that encompass the events that make up warfare, especially armed combat. It strives to be an all-encompassing scientific system that if properly employed, will greatly enhance the practitioners ability to prevail in... military science of Ballistics (gr. ballein, throw) is the science that deals with the motion, behavior, and effects of projectiles, especially bullets, gravity bombs, rockets, or the like; the science or art of designing and hurling projectiles so as to achieve a desired performance. A ballistic body is a body which is... ballistics, Circular Error Probability or circular error probable (CEP) is a simple measure of a weapon system's In Wikipedia, precision has the following meanings: In engineering, science, industry and statistics, precision characterises the degree of mutual agreement among a series of individual measurements, values, or results - see accuracy and precision. In computing, the precision (number of digits) with which a value is expressed (, the number of decimal... precision. It is defined as the radius of a circle into which a A missile (British English: miss-isle; U.S. English: missl) is, in general, a projectile—that is, something thrown or otherwise propelled. Missiles can range from a rock thrown from a slingshot, through a crossbow or ballista bolt, to a Minuteman III intercontinental ballistic missile (ICBM) with multiple nuclear... missile, Massive ordinance air-burst bomb.Photo:USAF A bomb is an explosive device, usually some kind of container filled with explosive material, designed to cause destruction when set off. The explosion of the bomb has to be triggered, usually by a clock, a remote control, or some kind of sensor... bomb, or A projectile is any object sent through the air by the application of some force. In a general sense, even a football or baseball may be considered a projectile, but in practical action most projectiles are designed as weapons. Motive force Arrows, darts, spears, and similar weapons are fired using... projectile will land at least half the time.

For example, an A Minuteman III missile soars after a test launch. An intercontinental ballistic missile, or ICBM, is a long-range ballistic missile using a ballistic trajectory involving a significant ascent and descent, including sub-orbital flight. An ICBM differs little technically from other ballistic missiles such as intermediate-range ballistic missiles... ICBM warhead with a CEP of 100 meters will impact within 100 meters of the target point in at least 50 percent of all attempts.

The impact of Munition is often defined as a synonyn for ammunition. A slightly broader definition would include bombs, missiles, warheads, and mines (landmines, naval mines, and claymore mines) -- what munitions factories manufacture. These munitions are flung all over battlefields and war zones with lethal intent; unexploded ones may pose a hazard to... munitions near the target tends to be bivariate (i.e. 2-dimensional) Probability density function of Gaussian distribution (bell curve). The normal distribution, also called Gaussian distribution, is an extremely important probability distribution in many fields, especially in physics and engineering. It is actually a family of distributions of the same general form, differing only in their , 1738) in the context of... normally distributed around the aim point, with most reasonably close, progressively fewer and fewer further away, and very few indeed at long distance. One component of the bivariate normal will represent range errors and the other azimuth errors. Usually the standard deviation of range errors is larger than the standard deviation of azimuth errors and the resulting In statistics, confidence intervals are the most prevalent form of interval estimation. If , and is normally distributed with expected value θ and variance 1. (It is grossly unrealistic to take the variance to be known while the expected value must be inferred from the data, but it makes the example... confidence regions will be elliptical.

A Mathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of figures and numbers. Mathematical knowledge is constantly growing, through research and application, but mathematics itself is not usually considered a natural science. One reason is that... mathematician might characterise this pattern by its In probability and statistics, the standard deviation is the most commonly used measure of statistical dispersion. Standard deviation is defined as the square root of the variance. It is defined this way in order to give us a measure of dispersion that is (1) a non-negative number, and (2... standard deviation, but a more intuitive method is to state the The word radius of a circle or sphere is the length of any such segment. More generally — in geometry, engineering, graph theory, and many other contexts — the radius of something (e.g. a cylinder, a graph, or a mechanical part) is the distance from its center or axis... radius of a In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a fixed point, called the centre. Circles are simple closed curves, dividing the plane into an interior and exterior. Sometimes the word -,, and the triangles height approaches the... circle within which 50 percent of rounds will land. That radius is the circular error probable, commonly Abbreviation (from Latin is not part of the abbreviation. In East Asian languages which use Chinese ideograms instead of an alphabet, abbreviations are similarly formed by using key characters instead of letters. For example, in Japanese the term for the United Nations, , are called ryakugo (略語) in Japanese. Examples... abbreviated to CEP.

For most weapons, the CEP increases with The range of a vehicle is the maximum distance it can cover without needing to be refueled or recharged. The range of a gun or missile is the maximum distance it can be fired over and still hit its target. The actual distance that the missile can travel will sometimes... range, so it should either be stated for a particular range, or as an An angle (from the Lat. _, to bend) is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. Angles provide a means of expressing the difference in slope between two rays meeting at a vertex without the need to explicitly define the slopes... angle.

In the case of munitions which strike at a shallow angle to the Earth's surface, the pattern will become elongated into an In mathematics, an ellipse (from the Greek for and equals the length of the semimajor axis; the constant -² = - (not to be confused with the mathematical constant e). The eccentricity is related to to . Semi-latus rectum and polar coordinates The semi-latus rectum of an ellipse, usually denoted and -axis... ellipse. This can be thought of as the ellipse formed by the In mathematics, a plane is the fundamental two-dimensional object. Intuitively, it may be visualized as a flat infinite piece of paper. Most of the fundamental work in geometry, trigonometry, and graphing is performed in two dimensions, or in other words, in a plane. Given a plane, one can introduce... plane of the Earth's surface intersecting a A cone is a basic geometrical shape: see cone (geometry). Several things have also been called cones on account of their shape: A volcanic cone is a mountain formed by material ejected from a volcanic vent. In relativity, the light cone of an event consists of all spacetime events that... cone of error. In this case, the CEP is usually given as what it would be if the rounds impacted the surface vertically, and it must be remembered that at shallow In ordinary language, a trajectory is the path followed by a body moving through space, for instance, the path taken by a falling body or the orbit of a planet. One may either consider just the geometry of the path (i.e. the set of positions), or also the position... trajectories it will be elongated.

It should be noted that the concept of CEP is only strictly meaningful if misses are roughly normally distributed. This is generally not true for BOLT-117 laser guided bomb Precision-guided munitions (smart munitions or smart bombs) are self-guiding weapons intended to maximize damage to the target while minimizing collateral damage. Because the damage effects of an explosive weapon scale as a power law with distance, quite modest improvements in accuracy (and hence... precision-guided munitions.

Another important thing to remember about CEP is that if 50 percent of rounds land inside the circle, then 50 percent land outside it! Generally, if CEP is n meters 50 percent of rounds land within n meters of the target, 43 percent between n and twice that distance and 7 percent between two and three times that distance. If misses were exactly normally distributed as in this theory, then the proportion of rounds that land farther than three times the CEP from the target is less than 0.2%. With precision-guided munitions, the number of 'close misses' is higher.