Computer Science – Numerical Analysis
Scientific paper
May 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982kosis..20..332v&link_type=abstract
Kosmicheskie Issledovaniia, vol. 20, May-June 1982, p. 332-341. In Russian.
Computer Science
Numerical Analysis
Elliptical Orbits, Orbit Calculation, Three Body Problem, Eccentric Orbits, Extremum Values, Numerical Analysis, Perturbation Theory
Scientific paper
A numerical-analytical method is used to carry out a qualitative study of the plane restricted elliptical twice-averaged three-body problem for arbitrary values of the semimajor axis of the orbit of a zero-mass point and of the eccentricity of the orbit of the disturbing body. In the plane of these parameters, the analysis delineates regions of varying structure of the integral curves describing the evolution of the eccentricity and the argument of the pericenter of the orbit of the zero-mass point. A new type of degenerate solution, corresponding to the fall of the zero-mass point onto the central body, is discovered. The extremal characteristics of the evolving orbits are calculated, including the stationary values of eccentricity.
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