High-order analytical solutions of Hill's equations

DOI10.1007/s10569-005-4821-2zbMath1125.70007OpenAlexW2016699660MaRDI QIDQ819171

M. Marcote, Gerard Gomez

Publication date: 22 March 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-005-4821-2

zbMATH Keywords

Hill's equationsLindstedt-Poincaré series

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (8)

Periodic image trajectories in Earth-Moon space ⋮ Approximate analysis for relative motion of satellite formation flying in elliptical orbits ⋮ Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field ⋮ A second-order solution to the two-point boundary value problem for rendezvous in eccentric orbits ⋮ Semianalytical solutions of relative motions with applications to periodic orbits about a nominal circular orbit ⋮ Relative motion of satellites exploiting the super-integrability of Kepler's problem ⋮ Polynomial expansions of single-mode motions around equilibrium points in the circular restricted three-body problem ⋮ High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers

Cites Work

• A note on a Lagrangian formulation for motion about the collinear points
• High-order expansions of invariant manifolds of libration point orbits with applications to mission design

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