1997
DOI: 10.1098/rspa.1997.0092
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A stochastic model of the dynamics of an ensemble of spheres

Abstract: We develop a stochastic model for describing the behaviour of a cloud of spherical projectiles. The equation of motion of a single sphere is perturbed by the addition of a random force term, and the width and length of the cloud are determined by performing ensemble averages. Analytical expressions containing two parameters are fitted to experimental data and excellent agreement is obtained.

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Cited by 2 publications
(1 citation statement)
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References 12 publications
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“…We sampled each ammunition type ( n = 10) to determine shot charge (payload) weight, number of pellets, and muzzle velocity, and conducted comparative pattern testing under no‐wind conditions at a mean temperature of 15.6° C and 1,250‐m elevation. Because shotshell patterns are influenced by firearm type, barrel length, choke, and distance (Compton , Compton et al , Warlow , Jones ), we standardized testing procedures by using one shotgun, choke set, and distances to isolate differences due solely to ammunition type. Patterns for each load were fired at 18.3 m, 27.4 m, 36.6 m, and 45.7 m from a Remington Model 332 with 76‐cm barrel (0.185‐cm diam bore) using improved cylinder (0.183‐cm), modified (0.180‐cm), and full (0.175‐cm) Remington RemChoke™ screw‐in choke tubes (Remington Arms Company, Madson, NC).…”
Section: Methodsmentioning
confidence: 99%
“…We sampled each ammunition type ( n = 10) to determine shot charge (payload) weight, number of pellets, and muzzle velocity, and conducted comparative pattern testing under no‐wind conditions at a mean temperature of 15.6° C and 1,250‐m elevation. Because shotshell patterns are influenced by firearm type, barrel length, choke, and distance (Compton , Compton et al , Warlow , Jones ), we standardized testing procedures by using one shotgun, choke set, and distances to isolate differences due solely to ammunition type. Patterns for each load were fired at 18.3 m, 27.4 m, 36.6 m, and 45.7 m from a Remington Model 332 with 76‐cm barrel (0.185‐cm diam bore) using improved cylinder (0.183‐cm), modified (0.180‐cm), and full (0.175‐cm) Remington RemChoke™ screw‐in choke tubes (Remington Arms Company, Madson, NC).…”
Section: Methodsmentioning
confidence: 99%