High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers

DOI10.1016/j.cnsns.2014.01.019OpenAlexW2084283458MaRDI QIDQ2300259

Hanlun Lei, Bo Xu

Publication date: 27 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.01.019

zbMATH Keywords

triangular libration pointsLindstedt-Poincaré methodseries expansionselliptic restricted three-body problemlow-thrust low energy transfertwo-impulse low energy transfer

Mathematics Subject Classification ID

Mechanics of particles and systems (70-XX) Astronomy and astrophysics (85-XX)

Related Items (9)

Analytical study on the motions around equilibrium points of restricted four-body problem ⋮ Fast numerical approximation of invariant manifolds in the circular restricted three-body problem ⋮ Low-energy transfers to cislunar periodic orbits visiting triangular libration points ⋮ Higher order approximation to the Hill problem dynamics about the libration points ⋮ Single impulsive transfer to the Earth-Moon triangular point L\(_4\) in a bicircular model ⋮ Semianalytical solutions of relative motions with applications to periodic orbits about a nominal circular orbit ⋮ Transfers between libration point orbits of Sun-Earth and Earth-Moon systems by using invariant manifolds ⋮ Polynomial expansions of single-mode motions around equilibrium points in the circular restricted three-body problem ⋮ Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem

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