Application of the stroboscopic method to the stellar three-body problem

Details Application of the stroboscopic method to the stellar three-body problem Application of the stroboscopic method to the stellar three-body problem

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.185...51l&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 185, no. 1, Nov. 1991, p. 51-61. Research supported by Xunta de Galicia an

Astronomy and Astrophysics

Astrophysics

2

Equations Of Motion, Orbital Elements, Stellar Orbits, Stroboscopes, Three Body Problem, Orbit Perturbation, Perturbation Theory, Stellar Motions

Scientific paper

The present study examines the three-body problem by directly integrating the equations of motion in the orbital elements. The problem was set up in a barycentric chain with the orbits as perturbed ellipses, and the integration was performed using the semianalytic stroboscopic method. Perturbation theory is applied and the solution for a particular order is obtained by way of successive approximations on the fundamental period of the fast variable.

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