A Numerical Implementation of Spherical Object Collision Probability

摘要: Collision probability analysis for spherical objects exhibiting linear relative motion is accomplished by combining covariances and physical object dimensions at the point of closest approach. The resulting covariance ellipsoid hardbody can be projected onto plane perpendicular to velocity when assumed linear. potential determined from footprint on projected, two-dimensional, co-variance ellipse. double integral reduced a single various methods. This work addresses numerical computation this using Simpson’s one-third rule achieve least two significant figures accuracy over wide range parameters.