English

Effects of Variable Mass, Disk-Like Structure, and Radiation Pressure on the Dynamics of Circular Restricted Three-Body Problem

Earth and Planetary Astrophysics 2025-01-22 v2 Solar and Stellar Astrophysics

Abstract

In this paper, we intend to investigate the dynamics of the Circular Restricted Three-Body Problem. Here we assumed the primaries as the source of radiation and have variable mass. The gravitational perturbation from disk-like structure are also considered in this study. There exist five equilibrium points in this system. By considering the combined effect from disk-like structure and the mass transfer, we found that the classical collinear equilibrium points depart from x-axis. Meanwhile, this combined effect also breaks the symmetry of tringular equlibrium point positions. We noted that the quasi-equilibrium points are unstable whereas the triangular equilibrium points are stable if the mass ratio μ\mu smaller than critical mass μc\mu_c. It shows that the stability of triangular equilibrium points depends on time.

Keywords

Cite

@article{arxiv.2408.00272,
  title  = {Effects of Variable Mass, Disk-Like Structure, and Radiation Pressure on the Dynamics of Circular Restricted Three-Body Problem},
  author = {Leonardus B. Putra and I. Nurul Huda and H. S. Ramadhan and M. B. Saputra and T. Hidayat},
  journal= {arXiv preprint arXiv:2408.00272},
  year   = {2025}
}

Comments

15 pages, 5 figures, 2 tables. Accepted for publication in Romanian Astronomical Journal (RoAJ)