Obtaining transition matrixes for different parameters of motion of celestial bodies.
Abstract
Formulas for calculating the matrices of certain isochronous derivatives of the motion of celestial bodies are proposed. In this approach an intermediate system of orbital elements is introduced, the unknown transition matrices are not represented in an explicit form, and these matrices are calculated using elementary matrix operations. This makes it possible to obtain compact relationships for calculating the transition matrices for rectangular phase coordinates and 216 different systems of elements composed from the 20 most frequently used osculating orbital elements (except the canonical ones).
 Publication:

Kosmicheskie Issledovaniia
 Pub Date:
 November 1984
 Bibcode:
 1984KosIs..22..819S
 Keywords:

 Celestial Mechanics;
 Matrices (Mathematics);
 Orbital Elements;
 Cartesian Coordinates;
 Gravitation Theory;
 Partial Differential Equations;
 Two Body Problem;
 Astrodynamics;
 Celestial Mechanics