Asymptotic orbits in the restricted four-body problem

Details Asymptotic orbits in the restricted four-body problem Asymptotic orbits in the restricted four-body problem

Jul 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007p%26ss...55.1368p&link_type=abstract

Planetary and Space Science, Volume 55, Issue 10, p. 1368-1379.

Computer Science

1

Scientific paper

This paper studies the asymptotic solutions of the restricted planar problem of four bodies, three of which are finite, moving in circular orbits around their center of masses, while the fourth is infinitesimal. Two of the primaries have equal mass and the most-massive primary is located at the origin of the system. We found the invariant unstable and stable manifolds around the hyperbolic Lyapunov periodic orbits which emanate from the collinear equilibrium points Li,i=1,…,4, as well as the invariant manifolds from the Lagrangian critical points L5 and L6. We construct numerically, applying forward and backward integration from the intersection points of the appropriate Poincaré cuts, homo- and hetero-clinic, symmetric and non-symmetric asymptotic orbits. We present the characteristic curves of the 24 families which consist of symmetric simple-periodic orbits of the problem for a fixed value of the mass parameter b. The stability of the families is computed and also presented. Sixteen families contain as terminal points asymptotic periodic orbits which intersect the x-axis perpendicularly and tend asymptotically to L5 for t→+∞ and to L6 for t→-∞, spiralling into (and out of) these points. The corresponding 16 terminating heteroclinic asymptotic orbits, for b=2, are illustrated.

Affiliated with

Also associated with

No associations

Rating

Asymptotic orbits in the restricted four-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 Asymptotic orbits in the restricted four-body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic orbits in the restricted four-body problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-788316