Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's problem

Details Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's problem Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's problem

Jan 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cemda.103...49t&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 103, Issue 1, pp.49-78

Astronomy and Astrophysics

Astronomy

1

Scientific paper

We present an improved grid search method for the global computation of periodic orbits in model problems of Dynamics, and the classification of these orbits into families. The method concerns symmetric periodic orbits in problems of two degrees of freedom with a conserved quantity, and is applied here to problems of Celestial Mechanics. It consists of two main phases; a global sampling technique in a two-dimensional space of initial conditions and a data processing procedure for the classification (clustering) of the periodic orbits into families characterized by continuous evolution of the orbital parameters of member orbits. The method is tested by using it to recompute known results. It is then applied with advantage to the determination of the branch families of the family f of retrograde satellites in Hill’s Lunar problem, and to the determination of irregular families of periodic orbits in a perturbed Hill problem, a species of families which are difficult to find by continuation methods.

Affiliated with

Also associated with

No associations

Rating

Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's 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 Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1560703