The three-body problem

ZE Musielak, B Quarles - Reports on Progress in Physics, 2014 - iopscience.iop.org
The three-body problem, which describes three masses interacting through Newtonian
gravity without any restrictions imposed on the initial positions and velocities of these …

Wrong hypotheses in the generalized RTBP

A Elipe - Astrophysics and Space Science, 2024 - Springer
Generalized restricted three body problems consist of adding some extra hypotheses to the
Restricted three body problem (RTBP) in order to have a new problem, not very different of …

Combined effect of Poynting-Robertson (PR) drag, oblateness and radiation on the triangular points in the elliptic restricted three-body problem

J Singh, BS Ashagwu - Scientific Reports, 2024 - nature.com
This study investigates the motion of a test particle around triangular equilibrium points in
the elliptic restricted three-body problem (ER3BP) under the influence of the two oblate and …

Relativistic restricted three body problem with oblatness and photo-gravitational corrections to triangular equilibrium points

DA Katour, FA Abd El-Salam, MO Shaker - Astrophysics and Space …, 2014 - Springer
The photogravitational restricted three bodies within the framework of the post-Newtonian
approximation is carried out. The mass of the primaries are assumed changed under the …

Collinear equilibrium points in the elliptic R3BP with oblateness and radiation

J Singh, A Umar - Advances in Space Research, 2013 - Elsevier
We have studied the positions and stability of the collinear equilibrium points, L 1, 2, 3 of an
infinitesimal body in the elliptic restricted three-body problem (ER3BP) when both primaries …

Solar sail periodic orbits in the elliptic restricted three-body problem

S Gong, J Li - Celestial Mechanics and Dynamical Astronomy, 2015 - Springer
The periodic orbits of a solar sail in the elliptic restricted three-body problem are designed in
this paper. The dynamical equation of a solar sail is derived in a non-uniformly rotating and …

Effect of oblateness of an artificial satellite on the orbits around the triangular points of the earth–moon system in the axisymmetric ER3BP

J Singh, A Umar - Differential Equations and Dynamical Systems, 2017 - Springer
Using a semi-analytic approach, the effect of oblateness of an artificial satellite on the
periodic orbits around the triangular Lagrangian points of the Earth–Moon system is studied …

Motion and stability of triangular equilibrium points in elliptical restricted three body problem under the radiating primaries

A Narayan, N Singh - Astrophysics and Space Science, 2014 - Springer
This paper studies the motion and orbital stability of the infinitesimal mass in the vicinity of
the equilateral (triangular) Lagrangian points of the elliptic restricted three body problem …

[HTML][HTML] The collinear libration points in the elliptic R3BP with a triaxial primary and an oblate secondary

J Singh, A Umar - International Journal of Astronomy and Astrophysics, 2014 - scirp.org
This paper examines the motion of a dust grain around a triaxial primary and an oblate
companion orbiting each other in elliptic orbits about their common barycenter in the …

Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt

J Singh, N Isah - Heliyon, 2021 - cell.com
This paper examines the effects of radiation pressure and triaxiality of two stars (primaries)
surrounded by a belt (circumbinary disc) on the positions and stability of a third body of an …