Canonical modelling of coorbital motion in hill's problem using epicyclic orbital elements

Pini Gurfil, N. Jeremy Kasdin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
Pages619-621
Number of pages3
StatePublished - Dec 1 2004
EventCollection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference - Providence, RI, United States
Duration: Aug 16 2004Aug 19 2004

Publication series

NameCollection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
Volume2

Other

OtherCollection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
CountryUnited States
CityProvidence, RI
Period8/16/048/19/04

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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  • Cite this

    Gurfil, P., & Kasdin, N. J. (2004). Canonical modelling of coorbital motion in hill's problem using epicyclic orbital elements. In Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference (pp. 619-621). [AIAA-2004-4986] (Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference; Vol. 2).