The Effect of Perturbations in Coriolis and Centrifugal Forces on the Nonlinear Stability of Equilibrium Points in the Restricted Problem of Three Bodies
Abstract
The nonlinear stability of the equilibrium points in the restricted problem has been studied when small perturbations ∊ and ∊' are given to the coriolis and the centrifugal forces respectively. It is seen that the collinear points are unstable and the triangular points are stable for all mass ratios in the range of linear stability except for three mass ratios.
 Publication:

Celestial Mechanics
 Pub Date:
 May 1983
 DOI:
 10.1007/BF01231105
 Bibcode:
 1983CeMec..30...97B
 Keywords:

 Centrifugal Force;
 Coriolis Effect;
 Dynamic Stability;
 Three Body Problem;
 EulerLagrange Equation;
 Nonlinear Systems;
 Perturbation Theory;
 Astronomy