Results 51 to 60 of about 786,876 (154)

Out-of-plane equilibria in the perturbed photogravitational restricted three-body problem with Poynting-Robertson (P-R) drag. [PDF]

Heliyon, 2022
Vincent AE, Singh J.
europepmc   +1 more source

Numerical Investigation for 3D Branches of the Lyapunov Families in the Hill’s Problem with Radiation Pressure

Mathematics
Hill’s problem plays an important role in analyzing the local dynamics of an infinitesimal body under the gravitational influence of a distant massive primary and a nearby secondary body of smaller mass. When radiation pressure is included, the resulting
Omiros Ragos, Angela E. Perdiou, Efstathios A. Perdios, Vassilis S. Kalantonis   +3 more
doaj   +1 more source

Velocity Syzygies and Bounding Syzygy Moments in the Planar Three-Body Problem

Comptes Rendus. Mathématique
We consider the Newtonian planar three-body problem, defining a syzygy (velocity syzygy) as a configuration where the positions (velocities) of the three bodies become collinear.
Tsygvintsev, Alexei
doaj   +1 more source

Symbolic Dynamics, Mixing and Entropy in the Three-Body Problem

Open Astronomy, 2016
We use symbolic dynamics in the classic equal-mass free-fall three-body problem. Different methods for constructing symbolic sequences (in the process of numerical integration of trajectories) allow one to demonstrate (and illustrate on the Agekian ...
Mylläri A., Orlov V., Chernin A., Martynova A., Mylläri T.   +4 more
doaj   +1 more source

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

Heliyon, 2021
Singh J, Isah N.
europepmc   +1 more source

On the libration collinear points in the restricted three – body problem

Open Physics, 2017
In the restricted problem of three bodies when the primaries are triaxial rigid bodies, the necessary and sufficient conditions to find the locations of the three libration collinear points are stated.
Alzahrani F., Abouelmagd Elbaz I., Guirao Juan L.G., Hobiny A.   +3 more
doaj   +1 more source

Librating Kozai–Lidov Cycles with a Precessing Quadrupole Potential Are Analytically Approximately Solved

The Astronomical Journal
The very long term evolution of the hierarchical restricted three-body problem with a slightly aligned precessing quadrupole potential is investigated analytically for librating Kozai–Lidov cycles (KLCs).
Ygal Y. Klein, Boaz Katz
doaj   +1 more source

Exploring the Influence of Oblateness on Asymptotic Orbits in the Hill Three-Body Problem

AppliedMath
We examine the modified Hill three-body problem by incorporating the oblateness of the primary body and focus on its asymptotic orbits. Specifically, we analyze and characterize homoclinic and heteroclinic connections associated with the collinear ...
Vassilis S. Kalantonis
doaj   +1 more source

Three-Body 3D-Kepler Electromagnetic Problem—Existence of Periodic Solutions

AppliedMath
The main purpose of the present paper is to prove the existence of periodic solutions of the three-body problem in the 3D Kepler formulation. We have solved the same problem in the case when the three particles are considered in an external inertial ...
Vasil Georgiev Angelov
doaj   +1 more source

Motion around triangular points in the restricted three-body problem with radiating heterogeneous primaries surrounded by a belt. [PDF]

Sci Rep, 2020
Singh J, Haruna S.
europepmc   +1 more source