On the stability of artificial equilibrium points in the circular restricted three-body problem

DOI10.1007/S10569-010-9317-ZzbMath1270.70028OpenAlexW2004525483MaRDI QIDQ361651

Claudio Bombardelli, Jesús Peláez

Publication date: 30 August 2013

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

Full work available at URL: http://oa.upm.es/9475/

zbMATH Keywords

stabilitythree-body problemartficial equilibrium pointssolar sails

Mathematics Subject Classification ID

Three-body problems (70F07) Plates (74K20)

Related Items (10)

Orbit period modulation for relative motion using continuous low thrust in the two-body and restricted three-body problems ⋮ Displaced non-Keplerian orbits using impulsive thrust ⋮ Artificial equilibrium points for a generalized sail in the circular restricted three-body problem ⋮ The behavior of a satellite trajectory near the equilibrium points of sun-earth system and its control ⋮ Existence of equilibrium points and their linear stability in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ Hill’s curves and libration points in the low-thrust restricted circular threebody problem ⋮ Low-thrust propulsion in a coplanar circular restricted four body problem ⋮ Unnamed Item ⋮ Determination of thrusts to generate artificial equilibrium points in binary systems with applications to a planar solar sail ⋮ Solar sail periodic orbits in the elliptic restricted three-body problem

Cites Work

• Non-Keplerian orbits for electric sails
• On the stability of the Lagrangian points in the spatial restricted problem of three bodies
• Periodic and quasi-periodic motions of a solar sail close to \(SL _{1}\) in the Earth-Sun system
• Solar sail parking in restricted three-body systems
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