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Tube Dynamics and Trajectory Design for Capturing the Lyapunov Orbit in the Coupled Restricted Three-Body Problem and Its Application to the DESTINY Mission

, 2014
Kaori Onozaki, Tomohiko Nakamura, Hiroaki Yoshimura, 香織 小野崎, 友彦 中村, 浩明 吉村   +5 more
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The relativistic restricted three-body problem

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Restrictions on the Motion of the Three-Body Problem

SIAM Journal on Applied Mathematics, 1974
It is shown in the three-body problem of Newtonian mechanics that there exist values of the constants of motion which define regions in physical space where motion cannot occur.
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Resonant motion in the restricted three body problem

Celestial Mechanics and Dynamical Astronomy, 1993
The resonant structure of the restricted three-body problem for the Sun- Jupiter asteroid system in the plane is studied, both for a circular and an elliptic orbit of Jupiter. Three typical resonances are studied, the 2:1, 3:1 and 4:1 mean motion resonance of the asteroid with Jupiter.
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The Restricted Three-Body Problem

1990
The determination of the motion of N point-like masses under their mutual gravitational forces is the basic problem in celestial mechanics, with important applications to fundamental astrophysical problems, like the dynamical structure of planetary and satellite systems and the evolution of multiple stellar systems, ranging from multiple stars to ...
Bruno Bertotti, Paolo Farinella
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The Restricted Three-Body Problem

2016
An important particular solution of the three-body problem results when one of the three masses is so small, in comparison to the other two, that its gravitational effects can be neglected. This may be called an infinitesimal body compared with the two finite bodies. This is the restricted three-body problem (Szebehely 1967), as mentioned in Sect.
Pini Gurfil, P. Kenneth Seidelmann
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Saari’s conjecture for the restricted three-body problem

Celestial Mechanics and Dynamical Astronomy, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roberts, G. E., Melanson, L.
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The Restricted Three-Body Problem

2018
Celestial mechanics has a long history, see for example the encyclopedic works of Hagihara [109] and Szebehely [231], or the Scholarpedia article on the threebody problem by Chenciner [53] or on Celestial Mechanics by Ferraz-Mello [83] and the references therein.
Urs Frauenfelder, Otto van Koert
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