Semianalytical solutions of relative motions with applications to periodic orbits about a nominal circular orbit

DOI10.1155/2018/4183941zbMath1427.70058OpenAlexW2834797179WikidataQ129565101 ScholiaQ129565101MaRDI QIDQ1720880

Bo Xu, Qiwei Guo, Hanlun Lei

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/4183941

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Orbital mechanics (70M20)

Cites Work

• High-order analytical solutions of Hill's equations
• An invariant manifold approach to nonlinear normal modes of oscillation
• Dynamics in the center manifold of the collinear points of the restricted three-body problem
• High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers
• Normal Modes for Non-Linear Vibratory Systems
• Normal Modes of Vibration for Non-Linear Continuous Systems
• High-order expansions of invariant manifolds of libration point orbits with applications to mission design
• Elliptic orbit rendezvous.
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
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