초록 ▼

A computer-implemented method is provided for determining fratricide probability of projectile collision from a projectile launcher on a platform and an interception hazard that can be ejected or launched from a deployment position. The platform can represent a combat vessel, with the projectile lau

A computer-implemented method is provided for determining fratricide probability of projectile collision from a projectile launcher on a platform and an interception hazard that can be ejected or launched from a deployment position. The platform can represent a combat vessel, with the projectile launcher being a gun, the interception hazard being a missile, and the deployment position being a vertical launch cell. The projectile launcher operates within an angular area called the firing zone of the platform. The method includes determining the firing zone, calculating an angular firing area, quantifying a frontal area of the interception hazard, translating the resulting frontal area across a flight trajectory, sweeping the projectile launcher to produce a slew angle, combining the slew and trajectory, and dividing the combined interception area by the firing area. The firing and interception areas are calculated using spherical projection.

대표청구항 ▼

1. A computer-implemented method for determining fratricide probability of projectile collision from a projectile launcher on a platform and an interception hazard ejectable from a deployment position, said method comprising: determining a firing zone of the platform, said firing zone presenting an

1. A computer-implemented method for determining fratricide probability of projectile collision from a projectile launcher on a platform and an interception hazard ejectable from a deployment position, said method comprising: determining a firing zone of the platform, said firing zone presenting an area through which the projectile launcher operates;calculating an angular firing zone area from said firing zone that extends from the projectile launcher;quantifying a frontal area of the interception hazard to produce an intercept area with respect to the projectile launcher;translating said frontal area across a flight trajectory of said intercept area to produce a path area; anddetermining the fratricide probability for said deployment position from dividing said path area by said angular firing zone are, wherein the platform is a combat vessel, the projectile launcher is a gun, the interception hazard is a missile, and the deployment position is a vertical launch cell. 2. The method according to claim 1, wherein calculating said angular firing zone further includes calculating an integral for a rectangular solid angle as: Ωrectangle=∫ϕ1ϕ2⁢∫θ1θ2⁢cos⁢⁢ϕ⁢ⅆθ⁢ⅆϕ, where θ1 and θ2 are azimuth bounds and φ1 and φ2 are elevation bounds of said firing zone. 3. The method according to claim 1, wherein quantifying said frontal area further includes: discretizing a perspective view of the interception hazard into discrete spatial points, each point having a coördinate position in relation to the projectile launcher;evaluating said points as a contiguous group of triangular plates, each plate being represented by triangular points of said spatial points, said each triangular plate forming a triangular solid angle Ωtriangle determined by: Ωtriangle=2⁢⁢arctan⁡([a→⁢b→⁢c→]abc+(a→·b→)⁢c+(a→·c→)⁢b+(b→·c→)⁢a), where scalar magnitudes a, b, c represent distances and tensors {right arrow over (a)}, {right arrow over (b)}, {right arrow over (c)} represent vectors between respective said triangular points and the projectile launcher; and summing said each triangular solid angle to produce said frontal area as an intercept solid angle Ωordnance. 4. The method according to claim 3, wherein discretizing said perspective view further includes: consecutively selecting a chosen hazard from a first numerical list of interception hazards;calculating a centerline vector of said chosen hazard;consecutively selecting a chosen deployment position from a second numerical list of positions;calculating a radial vector from the projectile launcher to said chosen position;consecutively creating a random launch vector within a cone half-angle of said center vector;determining at least one position at which said launch vector intersects said firing zone;creating a path shadow for said hazard along a flight path;calculating a solid path angle from said path shadow;summing a solid angle for all launch vectors; andcalculating a fratricide probability for said chosen position and said chosen hazard. 5. The method according to claim 1, wherein determining the fratricidal probability further includes dividing an intercept solid angle determined from discretizing said path area by a firing solid angle determined from azimuth bounds and elevation bounds of said firing zone as: Pf=ΩordnanceΩfiringzone, where Pf represents fratricidal probability, Ωordnance represents said intercept solid angle, and Ωfiringzone represents said firing solid angle. 6. An automated system for determining fratricide probability of projectile collision from a projectile launcher on a platform and an interception hazard ejectable from a deployment position, said system being operable on a programmable computational processor and comprising: a firing determiner for determining a firing zone of the platform, said firing zone presenting an area through which the projectile launcher operates;a calculator for calculating an angular firing zone area from said firing zone as extending from the projectile launcher;a quantifier for quantifying a frontal area of the interception hazard to produce an intercept area;a translator for translating said frontal area across a flight trajectory of said intercept area to produce a path area;a sweeper for angularly sweeping the projectile launcher to produce a slew angle;a superpositioner for superimposing said slew angle over said path area to produce a combination area; anda probability determiner for determining the fratricide probability for said deployment position from dividing said combination area by said angular firing zone area. 7. The system according to claim 6, wherein the platform is a combat vessel, the projectile launcher is a gun, the interception hazard is a missile, and the deployment position is a vertical launch cell. 8. The system according to claim 6, wherein said calculator operates to further calculate an integral for a rectangular solid angle as: Ωrectangle=∫ϕ1ϕ2⁢∫θ1θ2⁢cos⁢⁢ϕ⁢ⅆθ⁢ⅆϕ, where θ1 and θ2 are azimuth bounds and φ1 and φ2 are elevation bounds of said firing zone. 9. The system according to claim 6, wherein said calculator further includes: a selector for consecutively selecting a chosen hazard from a first numerical list of interception hazards;a centerline calculator for calculating a centerline vector of said chosen hazard;an iterator for consecutively selecting a chosen deployment position from a second numerical list of positions;a radial calculator for calculating a radial vector from the projectile launcher to said chosen position;a vector creator for consecutively creating a random launch vector within a cone half-angle of said center vector;a position determiner for determining at least one position at which said launch vector intersects said firing zone;a shadow creator for creating a path shadow for said hazard along a flight path;an angle calculator for calculating a solid path angle from said path shadow;a summation calculator for summing a solid angle for all launch vectors; anda probability calculator for calculating a fratricide probability for said chosen position and said chosen hazard. 10. The system according to claim 6, wherein said quantifier operates to further: discretize a perspective view of the interception hazard into discrete spatial points, each point having a coördinate position in relation to the projectile launcher;evaluate said points as a contiguous group of triangular plates, each plate being represented by triangular points of said spatial points, said each triangular plate forming a triangular solid angle determined by: Ωtriangle=2⁢⁢arctan⁡([a→⁢b→⁢c→]abc+(a→·b→)⁢c+(a→·c→)⁢b+(b→·c→)⁢a), where scalar magnitudes a, b, c represent distances and tensors {right arrow over (a)}, {right arrow over (b)}, {right arrow over (c)} represent vectors between respective said triangular points and the projectile launcher; and sum said each triangular solid angle to produce said frontal area. 11. The system according to claim 6, wherein quantifying said frontal area further includes: discretizing a perspective view of the interception hazard into discrete spatial points, each point having a coördinate position in relation to the projectile launcher;evaluating said points as a contiguous group of triangular plates, each plate being represented by triangular points of said spatial points, said each triangular plate forming a triangular solid angle Ωtriangle determined by: Ωtriangle=2⁢⁢arctan⁡([a→⁢b→⁢c→]abc+(a→·b→)⁢c+(a→·c→)⁢b+(b→·c→)⁢a), where scalar magnitudes a, b, c represent distances and tensors {right arrow over (a)}, {right arrow over (b)}, {right arrow over (c)} represent vectors between respective said triangular points and the projectile launcher; and summing said each triangular solid angle to produce said frontal area as an intercept solid angle Ωordnance. 12. The system according to claim 6, wherein said probability determiner operates to further divide an intercept solid angle determined from discretization of said combination area by a firing solid angle determined from azimuth bounds and elevation bounds of said firing zone as: Pf=ΩordnanceΩfiringzone, where Pf represents fratricidal probability, Ωordnance represents said intercept solid angle, and Ωfiringzone represents said solid angle.