Triple close approach in the three-body problem: A limit for the bounded orbits

DOI10.1007/BF01358401zbMath0593.70010OpenAlexW1974455946MaRDI QIDQ3723753

Christian Marchal, Jacques Laskar

Publication date: 1984

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01358401

zbMATH Keywords

general three-body problembounded orbitscriterion of escapegeneralized Hill's curvesintegral of energylower bound of the moment of inertiaminimum of the moment of inertiaorbit of the smallest massparabolic Euler motiontriple close approach

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Orbital mechanics (70M20) Differential inequalities involving functions of a single real variable (34A40)

Related Items (2)

From rotations and inclinations to zero configurational velocity surfaces, II. The best possible configurational velocity surfaces ⋮ No hanging out in neighborhoods of infinity in the three-body problem

Cites Work

• Hill stability and distance curves for the general three-body problem
• Properties of the moment of inertia in the problem of three bodies
• Hill regions for the general three-body problem

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