Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003a%26a...409.1135g&link_type=abstract
Astronomy and Astrophysics, v.409, p.1135-1140 (2003)
Astronomy and Astrophysics
Astrophysics
4
Celestial Mechanics, Planets And Satellites: General, Reference Systems
Scientific paper
This paper presents a Hamiltonian approach to modelling relative coorbital motion based on derivation of canonical coordinates for the relative coorbital dynamics. The Hamiltonian formulation facilitates the modelling of high-order terms and orbital perturbations while allowing us to obtain closed-form solutions to the relative coorbital motion in Hill's restricted three-body problem. First, the Hamiltonian is partitioned into a linear term and a high-order term. The Hamilton-Jacobi equations are solved for the linear part by separation, and new constants for the relative motions are obtained, called epicyclic orbital elements. The influence of the gravitational interaction between the coorbiting satellites is incorporated into the analysis by a variation of parameters procedure.
Gurfil Pini
Kasdin Jeremy N.
No associations
LandOfFree
Canonical modelling of coorbital motion in Hill's problem using epicyclic orbital elements 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 Canonical modelling of coorbital motion in Hill's problem using epicyclic orbital elements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Canonical modelling of coorbital motion in Hill's problem using epicyclic orbital elements will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-911590