Orbital dynamics in the photogravitational restricted fourbody problem: Lagrange configuration
Abstract
We study the effect of the radiation parameter in the location, stability and orbital dynamics in the Lagrange configuration of the restricted fourbody problem when one of the primaries is a radiating body. The equations of motion for the test particle are derived by assuming that the primaries revolve in the same plane with uniform angular velocity, lying at the vertices of an equilateral triangle. The insertion of the radiation factor in the restricted fourbody problem, let us model the dynamics of a test particle orbiting an astrophysical system with an active star. The dynamical mechanisms responsible for the smoothening on the basin structures of the configuration space is related to the decrease in the total number of fixed points with increasing values of the radiation parameter. In our model of the SunJupiterTrojan Asteroid system, it is found that despite the solar radiation pressure, there exist two stable libration points.
 Publication:

Physics Letters A
 Pub Date:
 May 2020
 DOI:
 10.1016/j.physleta.2020.126305
 arXiv:
 arXiv:1910.09757
 Bibcode:
 2020PhLA..38426305O
 Keywords:

 Fourbody problem;
 Equilibrium points;
 Radiation forces;
 Fractal basins boundaries;
 Orbit classification;
 Nonlinear Sciences  Chaotic Dynamics;
 Astrophysics  Earth and Planetary Astrophysics;
 Astrophysics  Solar and Stellar Astrophysics;
 Physics  Space Physics
 EPrint:
 14 pages, 10 figures