Nonlinear approximation of periodic three-body motions around collinear equilibrium configurations

Details Nonlinear approximation of periodic three-body motions around collinear equilibrium configurations Nonlinear approximation of periodic three-body motions around collinear equilibrium configurations

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ap%26ss.140..373p&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 140, no. 2, Jan. 1988, p. 373-383.

Astronomy and Astrophysics

Astrophysics

2

Circular Orbits, Equilibrium Equations, Orbit Calculation, Three Body Problem, Celestial Mechanics, Equations Of Motion, Numerical Integration

Scientific paper

Analytic approximations of the second order with respect to a small orbital parameter are given for coplanar periodic motions of three finite mass points in the neighbourhood of their collinear equilibrium configurations. The expressions obtained are tested for accuracy against the "exact" motions determined by numerical integration of the general three-body problem. Limiting cases of mass ratios of the three bodies are treated separately using "restricted" versions of the three-body problem.

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