Obtaining transition matrices for various motion parameters of celestial bodies

Details Obtaining transition matrices for various motion parameters of celestial bodies Obtaining transition matrices for various motion parameters of celestial bodies

Nov 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984kosis..22..819s&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 22, Nov.-Dec. 1984, p. 819-827. In Russian.

Mathematics

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

Scientific paper

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).

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