TY  - EJOU
AU  - Zhang, Renyong 

TI  - Numerical Continuation of Families of Periodic Orbits in the Circular Restricted Three-Body Problem
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2019
VL  - 21
IS  - 2
SN  - 1933-2815

AB  - This article aims to give a method for the fast numerical computation and continuation of families of periodic orbits in the strong nonlinear circular restricted three-body problem, and we focus our attention on those in the Earth-moon system. This work is primarily motivated by a series of missions and plans that take advantages of the three-body periodic orbits associated with the collinear equilibrium points, <i>L1, L2</i> and <i>L3</i> or two gravitational celestial bodies. We describe the method used that allows to follow individual families of periodic orbits by numerical continuation, which based on Jacobi energy surface, of strong nonlinear equations. The stability of these bifurcation orbits of the dynamics is examined and it is found that in each case there are two subintervals of range of mass parameter for which these orbits are stable. The investigation shows that the method can fast generate a great families of the periodic orbits including Lyapunov Orbit, Halo Orbit, Near Rectilinear Halo Orbits (NRHOs), Butterfly Orbits, Distant Retrograde Orbits (DROs), and Direct Periodic Orbits (DPOs).
KW  - 

DO  - 10.32604/icces.2019.04656