Equilibrium Points and Periodic Orbits in the Circular Restricted Synchronous Three-Body Problem with Radiation and Mass Dipole Effects: Application to Asteroid 2001SN 263

Aguda Ekele Vincent, Jagadish Singh, George A. Tsirogiannis and Vassilis S. Kalantonis ()
Additional contact information
Aguda Ekele Vincent: Department of Mathematics, School of Basic Sciences, Nigeria Maritime University, Okerenkoko, Warri P.M.B. 1005, Delta State, Nigeria
Jagadish Singh: Department of Mathematics, Ahmadu Bello University, Zaria P.M.B. 1045, Kaduna State, Nigeria
George A. Tsirogiannis: Department of Food Science & Technology, University of Patras, GR-26504 Patras, Greece
Vassilis S. Kalantonis: Department of Electrical & Computer Engineering, University of Patras, GR-26504 Patras, Greece

Mathematics, 2025, vol. 13, issue 7, 1-29

Abstract: This study numerically explores the dynamics of the photogravitational circular restricted three-body problem, where an infinitesimal particle moves under the gravitational influence of two primary bodies connected by a massless rod. These primary masses revolve in circular orbits around their common center of mass, which remains fixed at the origin of the coordinate system. The distance between the two masses remains constant, independent of their rotation period. The third body, being infinitesimally small compared to the primary masses, has a negligible effect on their motion. The primary mass is considered as a radiating body, while the secondary is modeled as an elongated one comprising two hypothetical point masses separated by a fixed distance. The analysis focuses on determining the number, location, and stability of equilibrium points, as well as examining the structure of zero-velocity curves under the influence of system parameters such as mass and force ratio, radiation pressure and geometric configuration of the secondary body. The system is found to allow up to six equilibria: four collinear and two non-collinear. Their number and positions are significantly affected by variations in the system’s parameters. Stability analysis reveals that the two non-collinear equilibrium points can exhibit stability under specific parameter configurations, while the four collinear points are typically unstable. An exception is the innermost collinear equilibrium point, which can be stable for certain parameter values. Our numerical investigation on periodic orbits around the collinear equilibrium points of the asteroid triple-system 2001SN 263 show that a variation, either to the values of radiation or the force ratio parameters, influence their special characteristics such as period and stability. Also, their continuation in the space of initial conditions shows that all families terminate naturally at collision orbits with either the primary or the secondary.

Keywords: CRTBP; radiation pressure; rotating dipole system; equilibrium points; periodic orbits; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/7/1150/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/7/1150/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:7:p:1150-:d:1624963

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().