The co-orbital restricted three-body problem and its application

Details The co-orbital restricted three-body problem and its application The co-orbital restricted three-body problem and its application

Jan 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010scchg..53..171y&link_type=abstract

Science China Physics, Mechanics and Astronomy, Volume 53, Issue 1, pp.171-178

Astronomy and Astrophysics

Astronomy

Co-Orbital, Restricted Three-Body Problem, Lisa

Scientific paper

Based on large quantities of co-orbital phenomena in the motion of natural bodies and spacecraft, a model of the co-orbital restricted three-body problem is put forward. The fundamental results for the planar co-orbital circular restricted three-body problem are given, which include the selection of variables and equations of motion, a set of approximation formulas, and an approximate semi-analytical solution. They are applied to the motion of the barycenter of the planned gravitational observatory LISA constellation, which agrees very well with the solution of precise numerical integration.

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