Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15....5b&link_type=abstract
Celestial Mechanics, vol. 15, Feb. 1977, p. 5-20. Research supported by the Northern Electric Co. and University of British Colu
Astronomy and Astrophysics
Astronomy
Asymptotic Methods, Earth-Moon System, Many Body Problem, Orbital Mechanics, Position Errors, Astronomical Models, Coplanarity, Error Analysis, Particle Motion, Periodic Functions, Three Body Problem
Scientific paper
A small particle moves in the vicinity of two masses, forming a close binary, in orbit about a distant mass. Unique, uniformly valid solutions of this four-body problem are found for motion near both equilateral triangle points of the binary system in terms of a small parameter, where the primaries move in accordance with a uniformly-valid three-body solution. Accuracy is maintained within a constant error of the order of the 8th power of the small parameter, and the solutions are uniformly valid as the small parameter tends to zero for time intervals of the order of the -3rd power of the small parameter. Orbital position errors near L4 and L5 of the earth-moon system are found to be less than 5% when numerically-generated periodic solutions are used as a standard of comparison.
Barkham G. D. P.
Modi V. J.
Soudack A. C.
No associations
LandOfFree
Asymptotic solutions in the many-body problem. II - Periodic orbits in four-body systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Asymptotic solutions in the many-body problem. II - Periodic orbits in four-body systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic solutions in the many-body problem. II - Periodic orbits in four-body systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-799530