The existence of families of periodic orbits in the N-body problem

Details The existence of families of periodic orbits in the N-body problem The existence of families of periodic orbits in the N-body problem

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16...61h&link_type=abstract

Celestial Mechanics, vol. 16, Sept. 1977, p. 61-76.

Physics

11

Celestial Mechanics, Equations Of Motion, Many Body Problem, Orbital Mechanics, Circular Orbits, Orbit Calculation, Three Body Problem

Scientific paper

The N-body problem is approached through the study of periodic motions in a rotating frame. It is proved that there exist monoparametric families of periodic orbits of the planar N-body problem in a rotating reference frame for fixed values of the masses. By considering N - 2 bodies with zero masses describing symmetric periodic orbits in the rotating frame of the restricted circular three-body problem, it is shown that if the periods of these bodies are in a whole number relation, this degenerate N-body system is periodic. In general, this periodic motion can be continued analytically to a periodic motion of the general N-body problem with respect to a rotating frame for sufficiently small masses of the N - 2 bodies.

Affiliated with

Also associated with

No associations

Rating

The existence of families of periodic orbits in the N-body problem 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 The existence of families of periodic orbits in the N-body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The existence of families of periodic orbits in the N-body problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1096228