Partitioned Linear Multistep Method for Long Term Integration of the N-Body Problem

D. S. Vlachos; T. E. Simos

doi:10.1002/anac.200410017

Partitioned Linear Multistep Method for Long Term Integration of the N-Body Problem

Applied Numerical Analysis & Computational Mathematics ◽

10.1002/anac.200410017 ◽

2004 ◽

Vol 1 (2) ◽

pp. 540-546 ◽

Cited By ~ 43

Author(s):

D. S. Vlachos ◽

T. E. Simos

Keyword(s):

Body Problem ◽

Multistep Method ◽

Linear Multistep Method ◽

N Body Problem

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A Trigonometrically-Fitted P-Stable Multistep Method for the Numerical Integration of the N-Body Problem

Recent Progress in Computational Sciences and Engineering ◽

10.1201/9780429070655-109 ◽

2019 ◽

pp. 455-457

Author(s):

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Integration ◽

Body Problem ◽

Multistep Method ◽

N Body Problem

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Long Term Dynamics for the Restricted $N$-Body Problem with Mean Motion Resonances and Crossing Singularities

SIAM Journal on Applied Dynamical Systems ◽

10.1137/17m1155703 ◽

2018 ◽

Vol 17 (2) ◽

pp. 1786-1815

Author(s):

Stefano Marò ◽

Giovanni F. Gronchi

Keyword(s):

Body Problem ◽

Mean Motion Resonances ◽

Mean Motion ◽

N Body Problem

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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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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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Families of integrable and stochastic trajectories in the N-body problem

Astronomical and Astrophysical Transactions ◽

10.1080/10556799508203274 ◽

1995 ◽

Vol 7 (4) ◽

pp. 275-276

Author(s):

L. L. Sokolov

Keyword(s):

Body Problem ◽

N Body Problem

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Central Configurations, Super Central Configurations, and Beyond in the n-Body Problem

Springer Proceedings in Mathematics & Statistics - Bridging Mathematics, Statistics, Engineering and Technology ◽

10.1007/978-1-4614-4559-3_1 ◽

2012 ◽

pp. 1-8

Author(s):

Zhifu Xie

Keyword(s):

Body Problem ◽

Central Configurations ◽

N Body Problem

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