6533b86ffe1ef96bd12cd484
RESEARCH PRODUCT
Remarks on quadratic Hamiltonians in spaceflight mechanics
Jean-baptiste CaillauBernard BonnardRomain Dujolsubject
Physics[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Integrable systemApproximations of π010102 general mathematics[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]MechanicsKepler's equationSpaceflight01 natural scienceslaw.invention010101 applied mathematicsNonlinear systemsymbols.namesakeQuadratic equationClassical mechanicslawsymbols[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsHamiltonian (quantum mechanics)ComputingMilieux_MISCELLANEOUSdescription
A particular family of Hamiltonian functions is considered. Such functions are quadratic in the moment variables and arise in spaceflight mechanics when the averaged system of energy minimizing trajectories of the Kepler equation is computed. An important issue of perturbation theory and averaging is to provide integrable approximations of nonlinear systems. It turns out that such integrability properties hold here.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-01-01 |