Natural dynamical reduction of the three-body problem. [PDF]
Celest Mech Dyn Astron, 2023 Kol B.
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The collinear equilibrium points in the elliptic restricted synchronous three-body problem under an oblate primary and a dipole secondary. [PDF]
Heliyon, 2023 Singh J, Tyokyaa RK.
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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.
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MathematicsHill’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 +3 more
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Velocity Syzygies and Bounding Syzygy Moments in the Planar Three-Body Problem
Comptes Rendus. MathématiqueWe 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
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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.
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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. +4 more
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Exploring the Influence of Oblateness on Asymptotic Orbits in the Hill Three-Body Problem
AppliedMathWe 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
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Three-Body 3D-Kepler Electromagnetic Problem—Existence of Periodic Solutions
AppliedMathThe 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
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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.
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