Restricted Three-body Problem

The Restricted Three-Body Problem is a specialized case of the three-body problem in celestial mechanics in which one of the three masses is assumed to be negligibly small compared to the other two, such that it does not influence the motion of the larger bodies, which follow Keplerian orbits about their common center of mass.

1.3K

Publications

53.5K

Citations

1.6K

Authors

728

Institutions

Publications per year

2017–2026

167

Parents

Celestial MechanicsOrbital Mechanics

Children

Analytic ApproximationsArnold DiffusionBifurcation AnalysisCenter Manifold ReductionChaos IndicatorsCircular Restricted Three-body ProblemCollinear Equilibrium PointsElliptic Restricted Three-body ProblemEscape DynamicsHalo Orbits

Publications

1.3K

Theory of Orbits.

V. Szebehely · NASA Technical Reports Server (NASA) · 1967 · 1.3K citations

Natural Sciences, Mathematics, Dynamical Systems +13

Theory of Orbits: The Restricted Problem of Three Bodies

V. Szebehely, W. H. Jefferys · American Journal of Physics · 1968 · 1.2K citations

Natural Sciences, Physics, Dynamical Systems +7

<i>AdS</i><sub>3</sub> black holes and a stringy exclusion principle

Juan Maldacena, Andrew Strominger · Journal of High Energy Physics · 1998 · 825 citations · Full text

Natural Sciences, Physics, Cosmology +11

Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics

Wang Sang Koon, Martin W. Lo, Jerrold E. Marsden et al. · Chaos An Interdisciplinary Journal of Nonlinear Science · 2000 · 523 citations · Full text

Natural Sciences, Mathematics, Physics +17

The resonance overlap criterion and the onset of stochastic behavior in the restricted three-body problem

Jack Wisdom · The Astronomical Journal · 1980 · 509 citations

Natural Sciences, Physics, Computational Physics +13

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Authors

1.6K

JS
Jagadish Singh
Ahmadu Bello University, Nigeria
40 publications · 1.3K citations
22
h-index
EI
Elbaz I. Abouelmagd
National Research Institute of Astronomy and Geophysics, Egypt
25 publications · 1.2K citations
21
h-index
BI
B. Ishwar
Babasaheb Bhimrao Ambedkar Bihar University, India
16 publications · 482 citations
14
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EA
E. A. Perdios
University of Patras, Greece
18 publications · 452 citations
14
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CR
Colin R. McInnes
University of Strathclyde, United Kingdom
14 publications · 786 citations
13
h-index

1–5 of 1.6K

Institutions

728

1–8 of 728

Venues

Celestial Mechanics and Dynamical Astronomy
177 publications · 6.9K citations
44
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Astrophysics and Space Science
95 publications · 3.1K citations
33
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Journal of Guidance Control and Dynamics
51 publications · 2.4K citations
29
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Monthly Notices of the Royal Astronomical Society
51 publications · 2K citations
28
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The Astronomical Journal
AJ · 69 publications · 3.2K citations
27
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