Restricted N+1-Body Problem: Existence and Stability Of Relative Equilibria

Celestial Mechanics and Dynamical Astronomy ◽

10.1023/b:cele.0000043568.88562.bf ◽

2004 ◽

Vol 89 (4) ◽

pp. 305-318 ◽

Author(s):

D. Bang ◽

B. Elmabsout

Keyword(s):

Body Problem ◽

Relative Equilibria ◽

Existence And Stability

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Existence and stability of relative equilibria in the n-body problem

Equadiff 99 ◽

10.1142/9789812792617_0006 ◽

2000 ◽

pp. 30-35 ◽

Author(s):

Gareth E. Roberts

Keyword(s):

Body Problem ◽

Relative Equilibria ◽

N Body Problem ◽

Existence And Stability

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Combined effects of radiation and oblateness on the existence and stability of equilibrium points in the perturbed restricted four-body problem

International Journal of Space Science and Engineering ◽

10.1504/ijspacese.2017.085666 ◽

2017 ◽

Vol 4 (3) ◽

pp. 174 ◽

Author(s):

Jagadish Singh ◽

Aguda Ekele Vincent

Keyword(s):

Body Problem ◽

Equilibrium Points ◽

Combined Effects ◽

Stability Of Equilibrium ◽

Existence And Stability ◽

Four Body Problem ◽

Effects Of Radiation

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Collinear relative equilibria of the planarN-body problem

Celestial Mechanics ◽

10.1007/bf01230656 ◽

1982 ◽

Vol 28 (1-2) ◽

pp. 17-24 ◽

Author(s):

Julian I. Palmore

Keyword(s):

Body Problem ◽

Relative Equilibria

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Linear stability of elliptic relative equilibria of restricted four-body problem

Journal of Differential Equations ◽

10.1016/j.jde.2020.03.043 ◽

2020 ◽

Vol 269 (6) ◽

pp. 4751-4798

Author(s):

Bowen Liu ◽

Qinglong Zhou

Keyword(s):

Linear Stability ◽

Body Problem ◽

Relative Equilibria ◽

Four Body Problem

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New relative equilibria of the N-body problem

Letters in Mathematical Physics ◽

10.1007/bf00398373 ◽

1976 ◽

Vol 1 (2) ◽

pp. 119-123 ◽

Author(s):

Julian I. Palmore

Keyword(s):

Body Problem ◽

Relative Equilibria ◽

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Existence and stability of triangular points in the restricted three-body problem with numerical applications

Astrophysics and Space Science ◽

10.1007/s10509-012-1162-y ◽

2012 ◽

Vol 342 (1) ◽

pp. 45-53 ◽

Author(s):

Elbaz I. Abouelmagd

Keyword(s):

Body Problem ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Points ◽

Existence And Stability ◽

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Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/s10569-011-9358-y ◽

2011 ◽

Vol 110 (3) ◽

pp. 271-290 ◽

Author(s):

Lennard F. Bakker ◽

Tiancheng Ouyang ◽

Duokui Yan ◽

Skyler Simmons

Keyword(s):

Body Problem ◽

Binary Collision ◽

Existence And Stability ◽

Four Body Problem ◽

Collision Orbits

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A Note on the Relative Equilibria Bifurcations in the $$(2N+1)$$ ( 2 N + 1 ) -Body Problem

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-014-9388-8 ◽

2014 ◽

Vol 28 (1) ◽

pp. 239-251

Author(s):

Jenică Crînganu ◽

Daniel Paşca ◽

Cristina Stoica

Keyword(s):

Body Problem ◽

Relative Equilibria

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Hamiltonian Dynamics of a Gyrostat in the N-Body Problem: Relative Equilibria

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/s10569-005-5910-y ◽

2006 ◽

Vol 94 (3) ◽

pp. 289-315 ◽

Author(s):

J. A. Vera ◽

A. Vigueras

Keyword(s):

Body Problem ◽

Hamiltonian Dynamics ◽

Relative Equilibria ◽

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The n-Body Problem in Spaces of Constant Curvature. Part I: Relative Equilibria

Journal of Nonlinear Science ◽

10.1007/s00332-011-9116-z ◽

2012 ◽

Vol 22 (2) ◽

pp. 247-266 ◽

Author(s):

Florin Diacu ◽

Ernesto Pérez-Chavela ◽

Manuele Santoprete

Keyword(s):

Constant Curvature ◽

Body Problem ◽

Relative Equilibria ◽

Spaces Of Constant Curvature ◽

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