Nonlinear stability in the restricted three-body problem with oblate and variable mass

Details Nonlinear stability in the restricted three-body problem with oblate and variable mass Nonlinear stability in the restricted three-body problem with oblate and variable mass

May 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.333...61s&link_type=abstract

Astrophysics and Space Science, Volume 333, Issue 1, pp.61-69

Astronomy and Astrophysics

Astrophysics

2

Celestial Mechanics

Scientific paper

This study investigates the nonlinear stability of the triangular equilibrium points when the bigger primary is an oblate spheroid and the infinitesimal body varies (decreases) it's mass in accordance with Jeans' law. It is found that these points are stable for all mass ratios in the range of linear stability except for three mass ratios depending upon oblateness coefficient A and β, a constant due to the variation in mass governed by Jeans' law.

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