scholarly journals Minimum energy configurations in the N-body problem and the celestial mechanics of granular systems

2012 ◽  
Vol 113 (3) ◽  
pp. 291-320 ◽  
Author(s):  
D. J. Scheeres
Keyword(s):  
Celestial Mechanics ◽  
Body Problem ◽  
Minimum Energy ◽  
Granular Systems ◽  
N Body Problem ◽  
Energy Configurations

scholarly journals On the foundations of general relativistic celestial mechanics

2017 ◽  
Vol 32 (26) ◽  
pp. 1730022 ◽  
Author(s):  
Emmanuele Battista ◽  
Giampiero Esposito ◽  
Simone Dell’Agnello
Keyword(s):  
General Relativity ◽  
Solar System ◽  
Celestial Mechanics ◽  
Body Problem ◽  
Equations Of Motion ◽  
Modern Science ◽  
N Body Problem ◽  
General Relativistic ◽  
New Perspective ◽  
Three Body

Towards the end of nineteenth century, Celestial Mechanics provided the most powerful tools to test Newtonian gravity in the solar system and also led to the discovery of chaos in modern science. Nowadays, in light of general relativity, Celestial Mechanics leads to a new perspective on the motion of satellites and planets. The reader is here introduced to the modern formulation of the problem of motion, following what the leaders in the field have been teaching since the nineties, in particular, the use of a global chart for the overall dynamics of N bodies and N local charts describing the internal dynamics of each body. The next logical step studies in detail how to split the N-body problem into two sub-problems concerning the internal and external dynamics, how to achieve the effacement properties that would allow a decoupling of the two sub-problems, how to define external-potential-effacing coordinates and how to generalize the Newtonian multipole and tidal moments. The review paper ends with an assessment of the nonlocal equations of motion obtained within such a framework, a description of the modifications induced by general relativity on the theoretical analysis of the Newtonian three-body problem, and a mention of the potentialities of the analysis of solar-system metric data carried out with the Planetary Ephemeris Program.

scholarly journals Regular polygon solutions of the $N$-body problem

1985 ◽  
Vol 94 (2) ◽  
pp. 301-301 ◽  
Author(s):  
L. M. Perko ◽  
E. L. Walter
Keyword(s):  
Body Problem ◽  
Regular Polygon ◽  
N Body Problem

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

2001 ◽  
Vol 24 (3) ◽  
pp. 626-628 ◽  
Author(s):  
Hui Yan ◽  
Hongxin Wu
Keyword(s):  
Body Problem ◽  
Low Thrust ◽  
N Body Problem ◽  
Targeting Strategy

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

PAMM ◽  
2013 ◽  
Vol 13 (1) ◽  
pp. 33-34
Author(s):  
Odysseas Kosmas ◽  
Sigrid Leyendecker
Keyword(s):  
Body Problem ◽  
Variational Integrators ◽  
N Body Problem

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

2017 ◽  
Vol 835 (2) ◽  
pp. 253 ◽  
Author(s):  
Yukitaka Minesaki
Keyword(s):  
Body Problem ◽  
N Body Problem

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

2002 ◽  
Vol 43 (1) ◽  
pp. 373-402 ◽  
Author(s):  
David Alba ◽  
Luca Lusanna ◽  
Massimo Pauri
Keyword(s):  
Body Problem ◽  
N Body Problem
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