The impact of radiation pressure, Poynting-Robertson Drag (Pr-drag) force and triaxiality of the main bodies surrounded by a belt (circumbinary disc) on the positions and stability of a third body of an infinestisimal mass aroud the collinear Lagrangian points in the elliptic res...
This paper studies the motion of an infinitesimal particle near the out-of-plane equilibrium points in the elliptic restricted three body problem (ER3BP) when the primaries are triaxial rigid bodies, sources of radiation with a Poynting-Robertson (P-R) drag force surrounded by a...
In this paper, equilibrium points and stability in the photogravitational restricted three-body problem (R3BP) with oblateness under a heterogeneous spheroid have been examined when the bigger primary is a radiating mass and the smaller one is a mass having three layers with dif...
The study of the Elliptic Restricted Three-Body Problem (ER3BP) in our present work considered the coordinates taken oblateness up to zonal harmonics for Gliese 667 and Sirius systems. The coordinates considered here is termed; the out-of-plane libration points. The out-of-p...
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
This paper explores effect of perturbing forces on periodic orbits generated by the triangular equilibrium points of the restricted three-body problem taking into account small perturbations in the Coriolis and centrifugal forces when the infinitesimal mass is an oblate spheroid...