A third order analytic approximation solution of Lyapunov orbits around the collinear equilibrium in the planar restricted three-body problem by utilizing the Lindstedt Poincaré method is presented. The primaries are oblate bodies and sources of radiation pressure. The theory has...
Open access
Research Article10.9734/BJMCS/2017/33168
The restricted four-body problem consists of an infinitesimal particle which is moving under the Newtonian gravitational attraction of three massive bodies, called primaries. The three bodies are moving in circles around their common centre of mass fixed at the origin of the coor...
Open access
Research Article10.9734/BJMCS/2016/29698
This paper investigates the effects of the quadruple J2 and octupolar mass moment J4 of the secondary on the triangular points L4,5 in the elliptic restricted three-body problem (ER3BP). The positions and stability of the triangular points are affected by the perturbations in the...
Open access
Research Article10.9734/BJMCS/2016/24539