Effect of Oblateness of the More Massive Primary on Periodic Orbits in the Restricted Three-Body Problem

A. Safiya Beevi, Ram Krishan Sharma
2017 Advances in Astrophysics  
The motion of a particle in the restricted three-body problem is explored by treating the more massive primary as an oblate spheroid with its equatorial plane coincident with the plane of motion of the primaries using a perturbation method. Initial conditions for the infinitesimal periodic orbits around the more massive primary are generated and the effect of oblateness on the perigee of these orbits is studied as well. It is observed that when oblateness coefficient is increased, the perigee
more » ... the orbit shifts towards both the primaries depending upon the increase in period and mass ratio. It is further noticed that during this transition, for certain periods, the perigee of the orbit remains unaltered with the increase in the oblateness coefficient. If the terms involving third and higher orders of 0 r are neglected, the first order approximation yields
doi:10.22606/adap.2017.21003 fatcat:havi6wk2lzgm7kaqrfh3ck2uye