On nonlinear random effects in astrodynamics.
Abstract
Results are given for the approximate determination of the distribution of the random vector function describing a nonlinear random astrodynamic effect. Their application for study of the distribution of the semimajor axis and eccentricity of an orbit as functions of random initial coordinates and velocities, distributed according to the normal law, are considered. Inequalities for estimation of the proximity of distribution laws according to the proximity of the generating functions are established. A method for determining the distribution law of the random vectorargument function by the use of its expansion in Fourier series with respect to ChebyshevHermite functions is developed.
 Publication:

Byulleten' Instituta Teoreticheskoj Astronomii (Leningrad)
 Pub Date:
 1986
 Bibcode:
 1986BITA...15..505D
 Keywords:

 Astrodynamics;
 Eccentric Orbits;
 Nonlinearity;
 Random Processes;
 Spacecraft Orbits;
 Chebyshev Approximation;
 Distribution Functions;
 Fourier Series;
 Hermitian Polynomial;
 Probability Theory;
 Vectors (Mathematics);
 Astrodynamics;
 Astrodynamics:Orbits;
 Orbits:Astrodynamics