The secular variations in the restricted problem - an explicit numerical approach

Details The secular variations in the restricted problem - an explicit numerical approach The secular variations in the restricted problem - an explicit numerical approach

May 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.155...85g&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 155, no. 1, May 1989, p. 85-103.

Statistics

Computation

4

Computational Astrophysics, Orbital Mechanics, Secular Variations, Three Body Problem, Degrees Of Freedom, Gravitational Constant, Gravitational Effects, Hamiltonian Functions

Scientific paper

An explicit numerical method was developed for studying the secular variations in the restricted problem, which involves a systematic scanning on the alpha-H plane (where alpha denotes the semimajor axis and H is the Delaunay variable). This method makes it possible to explicitly draw a particular region of the alpha-H plane, yielding acceptable equilibrium solutions to the restricted problem. The method can efficiently handle the same problem when the 6th- and 8th-order terms are retained in the respective expansions of the secular terms; it can itself qualify the localized solutions to 'stable' and 'unstable' roots.

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