Periodic solutions of the singly averaged hill problem

Details Periodic solutions of the singly averaged hill problem Periodic solutions of the singly averaged hill problem

Oct 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006astl...32..707v&link_type=abstract

Astronomy Letters, vol. 32, Issue 10, p.707-715

Astronomy and Astrophysics

Astronomy

1

Pacs Numbers 45.50.Pk, 95.10.Ce

Scientific paper

Based on the ideas of Lyapunov’s method, we construct a family of symmetric periodic solutions of the Hill problem averaged over the motion of a zero-mass point (a satellite). The low eccentricity of the satellite orbit and the sine of its inclination to the plane of motion of the perturbing body are parameters of the family. We compare the analytical solution with numerical solutions of the averaged evolutionary system and the rigorous (nonaveraged) equations of the restricted circular three-body problem.

Affiliated with

Also associated with

No associations

Rating

Periodic solutions of the singly averaged hill 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 Periodic solutions of the singly averaged hill problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic solutions of the singly averaged hill problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-871458