In this work, the canonical Hamiltonian form of the restricted three- body problem including the effects of primaries oblateness is presented. Moreover, the collinear libration points are obtained. In addition to this, the relation between position of libration points and variati...
Open access
Research Article10.9734/jamcs/2019/v34i230210
In the present work, the equations of motion of the solar sail are derived in the restricted three–body system. The dimensionless coordinates are used to obtain the solution of the problem. The Laplace transformations are used to solve these systems of equations to obtain the com...
Open access
Research Article10.9734/jamcs/2020/v35i630289
In this work, the special solutions of the Restricted Three-Body Problem (RTBP) are presented which specify the locations of the equilibrium points. The periodic orbits around these libration points are obtained analytically and numerically. The Lissajous orbits around the collin...
Open access
Research Article10.9734/JAMCS/2018/43370
In this work a dynamical system of three bodies with decreasing mass with respect to time is deduced. The Jean’s law is applied onto equations of motion. The equations of motion in this case are differed from that with constant mass only by small perturbing force considered as th...
Open access
Research Article10.9734/JAMCS/2018/40842