Symmetries of the N-body problem - Regularization of central singular solutions

Details Symmetries of the N-body problem - Regularization of central singular solutions Symmetries of the N-body problem - Regularization of central singular solutions

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..55..369c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 55, no. 4, p. 369-386.

Astronomy and Astrophysics

Astronomy

Eccentricity, Gravitational Fields, Many Body Problem, Orbits, Angular Momentum, Perturbation, Two Body Problem

Scientific paper

For N = 2 of the N-body problem, two families of symmetries S1 and S2 are defined which change the eccentricity of a solution. S1 is associated with arbitrary choice of the zero level of the potential while S2 is related to a possible affinity of the configuration space. S1 and S2 are described by a spatial transformation product of an instantaneous homothethy and an instantaneous rotation completed by a change of the temporal variable. S1 may related unbounded and bounded central solutions of the same type, and S2 may regularize multiple collisions among central solutions of the same type. Thus any central solution is equivalent to a central circular solution of the same type. This is a form of regularization.

Affiliated with

Also associated with

No associations

Rating

Symmetries of the N-body problem - Regularization of central singular solutions 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 Symmetries of the N-body problem - Regularization of central singular solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries of the N-body problem - Regularization of central singular solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1370244