Perturbation theory in rectangular coordinates

Details Perturbation theory in rectangular coordinates Perturbation theory in rectangular coordinates

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..18..319b&link_type=abstract

Celestial Mechanics, vol. 18, Nov. 1978, p. 319-336.

Computer Science

3

Jordan Form, Perturbation Theory, Two Body Problem, Coordinates, Integral Equations, Iterative Solution, Kepler Laws, Long Term Effects, Orbit Perturbation, Variational Principles

Scientific paper

For treating the perturbed two-body problem in rectangular coordinates a new method is developed. The method is based on the reduction of the variational equations of the two-body problem with arbitrary elements in the Jordan system. The equations of perturbed motion rewritten in the quasi-Jordan form are subjected to a transformation excluding fast variables and leading to a system governing the long term evolution of motion. The method may be easily extended to the problem of the heliocentric motion of the major planets. For performing this method on computer it is suitable to use facilities of Poissonian and Keplerian processors.

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