Analytic Continuation of Circular and Elliptic Kepler Motion to the General 3-BODY Problem

Details Analytic Continuation of Circular and Elliptic Kepler Motion to the General 3-BODY Problem Analytic Continuation of Circular and Elliptic Kepler Motion to the General 3-BODY Problem

Oct 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000hscm.conf..331s&link_type=abstract

HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS (HAMSYS-98). Proceedings of the III International Symposium. Held 7-11 December 1998

Physics

Scientific paper

The existence of families of periodic solutions of the general planetary 3-body problem in which one of the orbits is ellipic is shown. Each family derives from uncoupled circular and elliptic Kepler motion in a given resonance, with the eccentricity of the elliptic orbit as the parameter. The standard method of Poincaré's analytic continuation cannot be directly applied due to the vanishing of a determinant, so a strong form of the implicit function theorem is used.

Affiliated with

Also associated with

No associations

Rating

Analytic Continuation of Circular and Elliptic Kepler Motion to the General 3-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 Analytic Continuation of Circular and Elliptic Kepler Motion to the General 3-BODY Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytic Continuation of Circular and Elliptic Kepler Motion to the General 3-BODY Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-873845