Approximate time-dependent solutions of the N-body problem

Julio César Benavides, David Bradley Spencer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The N-body problem is defined and its equations of motion are presented. A new time transformation based on two-body problem series solutions is introduced and used to develop a time-dependent, analytic, first-order solution of the N-body problem. A process of deriving higher-order, time-dependent, analytic solutions of the N-body problem is also introduced. These analytic solutions are used to investigate periodic and non-periodic trajectories in the restricted three-body problem and are shown to be capable of describing complete, N-body trajectories with good accuracy and with far fewer function evaluations than are required by numerical integration.

Original languageEnglish (US)
Title of host publicationSpaceflight Mechanics 2010 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the AAS/AIAA Space Flight Mechanics Meeting
Pages1317-1330
Number of pages14
Volume136
StatePublished - Dec 1 2010
EventAAS/AIAA Space Flight Mechanics Meeting - San Diego, CA, United States
Duration: Feb 14 2010Feb 17 2010

Other

OtherAAS/AIAA Space Flight Mechanics Meeting
CountryUnited States
CitySan Diego, CA
Period2/14/102/17/10

Fingerprint

many body problem
Trajectories
Function evaluation
trajectory
trajectories
Equations of motion
two body problem
three body problem
numerical integration
equations of motion
evaluation

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Benavides, J. C., & Spencer, D. B. (2010). Approximate time-dependent solutions of the N-body problem. In Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting (Vol. 136, pp. 1317-1330)
Benavides, Julio César ; Spencer, David Bradley. / Approximate time-dependent solutions of the N-body problem. Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. Vol. 136 2010. pp. 1317-1330
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Benavides, JC & Spencer, DB 2010, Approximate time-dependent solutions of the N-body problem. in Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. vol. 136, pp. 1317-1330, AAS/AIAA Space Flight Mechanics Meeting, San Diego, CA, United States, 2/14/10.

Approximate time-dependent solutions of the N-body problem. / Benavides, Julio César; Spencer, David Bradley.

Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. Vol. 136 2010. p. 1317-1330.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Benavides JC, Spencer DB. Approximate time-dependent solutions of the N-body problem. In Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. Vol. 136. 2010. p. 1317-1330