Combined effects of perturbations, radiation and oblateness on the periodic orbits in the restricted three-body problem

2008/07/18 by AbdulRazaq AbdulRaheem, Abdulrazaq Abdulraheem, Jagadish Singh · 3 citations
Engineering · Physics and Astronomy · #Astro and Planetary Science #Astronomy #Astrophysics #Astrophysics and Star Formation Studies #Classical mechanics #Cosmology #Geometry #Mechanics #Optics #Orientation (vector space) #Periodic orbits #Perturbation (astronomy) #Physics #Radiation #Radiation pressure #Spacecraft Dynamics and Control #Three-body problem

paper · pdf · doi:10.1007/s10509-008-9841-4

openalex publication_date 2008/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

This paper investigates the periodic orbits around the triangular equilibrium points for 0<μ<μ c , where μ c is the critical mass value, under the combined influence of small perturbations in the Coriolis and the centrifugal forces respectively, together with the effects of oblateness and radiation pressures of the primaries. It is found that the perturbing forces affect the period, orientation and the eccentricities of the long and short periodic orbits.

Cited by

• Stability of triangular equilibrium points in the elliptic restricted three body problem with oblate and triaxial primaries
• The motion around the libration points in the restricted three-body problem with the effect of radiation and oblateness
• Albedo effects in the ER3BP with an oblate primary, a triaxial secondary and a potential due to belt. [europepmc]

Related

• The Modified Restricted Three Body Problems
• The Parametric Instability of Motion at Resonance as a Source of Chaotic Behaviour at the Restricted Three body Problem
• MOTION IN THE PHOTOGRAVITATIONAL ELLIPTIC RESTRICTED THREE-BODY PROBLEM UNDER AN OBLATE PRIMARY
• An Example of the Quasiperiodic Solution of the Restricted Three Body Problem at 2:1 Resonance
• Stability analysis of spatial perturbed elliptic restricted 3-body problem with double-averaging