TY - GEN
T1 - Canonical modelling of coorbital motion in hill's problem using epicyclic orbital elements
AU - Gurfil, Pini
AU - Kasdin, N. Jeremy
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:19644386986
SN - 1563477149
SN - 9781563477140
T3 - Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
SP - 619
EP - 621
BT - Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
T2 - Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
Y2 - 16 August 2004 through 19 August 2004
ER -