The Effect of Oblateness of The Bigger Primary on Collinear Libration Points in the Restricted Problem of Three Bodies
Abstract
In the restricted problem of three bodies, the effect of oblateness of the bigger primary appears as an additional term in the potential. As a result, the location of libration points and the roots of the characteristic equation at these points depend not only upon the mass parameter μ but also on the oblateness termI of the bigger primary. Series solutions are developed in terms of μ andI which are used for locating the collinear libration points and for determining the mean motions and characteristic exponents at these points.
 Publication:

Celestial Mechanics
 Pub Date:
 October 1977
 DOI:
 10.1007/BF01228595
 Bibcode:
 1977CeMec..16..129B
 Keywords:

 Celestial Mechanics;
 Libration;
 Three Body Problem;
 Eigenvalues;
 Eigenvectors;
 Series Expansion;
 Astronomy