Infinitesimal Orbits Around the Libration Points in the Elliptic Restricted Three Body Problem

Details Infinitesimal Orbits Around the Libration Points in the Elliptic Restricted Three Body Problem Infinitesimal Orbits Around the Libration Points in the Elliptic Restricted Three Body Problem

Dec 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003em%26p...93..261h&link_type=abstract

Earth, Moon, and Planets, Volume 93, Issue 4, pp.261-273

Physics

Scientific paper

The objective of the present work is to develope explicit analytical expressions for the small amplitude orbits of the infinitesimal mass about the equilibrium points in the elliptic restricted three body problem. To handle this dynamical problem, the Hamiltonian for the elliptic problem is formed with the true anomaly and then with the eccentric anomaly as independent variables. The origin is then transformed to a fixed point and the Hamiltonian is developed up to O(4) in the eccentricity, e, (which plays the role of the small parameter of the problem) of the primaries. The integration of the model problem under consideration is undertaken by means of a perturbation technique based on Lie series developments, which leads to the solution of the canonical equations of motion.

Affiliated with

Also associated with

No associations

Rating

Infinitesimal Orbits Around the Libration Points in the Elliptic Restricted Three 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 Infinitesimal Orbits Around the Libration Points in the Elliptic Restricted Three Body Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Infinitesimal Orbits Around the Libration Points in the Elliptic Restricted Three Body Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-879050