Collective branch regularization of simultaneous binary collisions in the 3D N-body problem

Mohamed Sami ElBialy

doi:10.1063/1.3119002

Collective branch regularization of simultaneous binary collisions in the 3D N-body problem

Journal of Mathematical Physics ◽

10.1063/1.3119002 ◽

2009 ◽

Vol 50 (5) ◽

pp. 052702 ◽

Cited By ~ 1

Author(s):

Mohamed Sami ElBialy

Keyword(s):

Body Problem ◽

N Body Problem ◽

Binary Collisions

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Regularization of simultaneous binary collisions in the n-body problem

Journal of Differential Equations ◽

10.1016/0022-0396(92)90092-2 ◽

1992 ◽

Vol 98 (2) ◽

pp. 241-259 ◽

Cited By ~ 11

Author(s):

Carles Simó ◽

Ernesto A Lacomba

Keyword(s):

Body Problem ◽

N Body Problem ◽

Binary Collisions

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On simultaneous binary collisions in the planar n-body problem

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00942814 ◽

1993 ◽

Vol 44 (5) ◽

pp. 880-890 ◽

Cited By ~ 1

Author(s):

Mohamed Sami ElBialy

Keyword(s):

Body Problem ◽

N Body Problem ◽

Binary Collisions

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Simultaneous Binary Collisions in the Collinear N-Body Problem

Journal of Differential Equations ◽

10.1006/jdeq.1993.1028 ◽

1993 ◽

Vol 102 (2) ◽

pp. 209-235 ◽

Cited By ~ 8

Author(s):

M.S. Elbialy

Keyword(s):

Body Problem ◽

N Body Problem ◽

Binary Collisions

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Regular polygon solutions of the $N$-body problem

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1985-0784183-1 ◽

1985 ◽

Vol 94 (2) ◽

pp. 301-301 ◽

Cited By ~ 2

Author(s):

L. M. Perko ◽

E. L. Walter

Keyword(s):

Body Problem ◽

Regular Polygon ◽

N Body Problem

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Optimal Low-Thrust Earth-Moon Targeting Strategy for N-Body Problem

Journal of Guidance Control and Dynamics ◽

10.2514/2.4755 ◽

2001 ◽

Vol 24 (3) ◽

pp. 626-628 ◽

Cited By ~ 1

Author(s):

Hui Yan ◽

Hongxin Wu

Keyword(s):

Body Problem ◽

Low Thrust ◽

N Body Problem ◽

Targeting Strategy

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On frequency estimations in phase fitted variational integrators for the general N-body problem

PAMM ◽

10.1002/pamm.201310012 ◽

2013 ◽

Vol 13 (1) ◽

pp. 33-34

Author(s):

Odysseas Kosmas ◽

Sigrid Leyendecker

Keyword(s):

Body Problem ◽

Variational Integrators ◽

N Body Problem

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n-gon Equilibria of the Discrete $(1+n)$-body Problem

The Astrophysical Journal ◽

10.3847/1538-4357/835/2/253 ◽

2017 ◽

Vol 835 (2) ◽

pp. 253 ◽

Cited By ~ 2

Author(s):

Yukitaka Minesaki

Keyword(s):

Body Problem ◽

N Body Problem

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Centers of mass and rotational kinematics for the relativistic N-body problem in the rest-frame instant form

Journal of Mathematical Physics ◽

10.1063/1.1435424 ◽

2002 ◽

Vol 43 (4) ◽

pp. 1677-1727 ◽

Cited By ~ 33

Author(s):

David Alba ◽

Luca Lusanna ◽

Massimo Pauri

Keyword(s):

Body Problem ◽

Rest Frame ◽

Instant Form ◽

N Body Problem ◽

Rotational Kinematics ◽

Centers Of Mass

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Collision–Ejection Manifold and Collective Analytic Continuation of Simultaneous Binary Collisions in the PlanarN-Body Problem

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.0367 ◽

1996 ◽

Vol 203 (1) ◽

pp. 55-77 ◽

Cited By ~ 4

Author(s):

Mohamed Sami ElBialy

Keyword(s):

Analytic Continuation ◽

Body Problem ◽

Binary Collisions

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Dynamical body frames, orientation-shape variables and canonical spin bases for the nonrelativistic N-body problem

Journal of Mathematical Physics ◽

10.1063/1.1416889 ◽

2002 ◽

Vol 43 (1) ◽

pp. 373-402 ◽

Cited By ~ 9

Author(s):

David Alba ◽

Luca Lusanna ◽

Massimo Pauri

Keyword(s):

Body Problem ◽

N Body Problem

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