Principal Periodic Orbits of the Keplerian Dumbbell System

DOI10.1137/19M1260955zbMath1472.70036OpenAlexW2999354625WikidataQ126383815 ScholiaQ126383815MaRDI QIDQ5217395

Rui Dilão, Manuel Murteira

Publication date: 27 February 2020

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1260955

zbMATH Keywords

periodic orbitsstructural stabilitysynchronous rotationthree-bodyKeplerian dumbbell

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Collision of rigid or pseudo-rigid bodies (70F35)

Cites Work

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• Non-integrability of the dumbbell and point mass problem
• Some properties of the dumbbell satellite attitude dynamics
• Unrestricted planar problem of a symmetric body and a point mass. Triangular libration points and their stability
• Minimal energy configurations of gravitationally interacting rigid bodies
• Stability of the planar full 2-body problem
• Equilibria of the three-body problem with rigid dumb-bell satellite
• An Introduction to Celestial Mechanics
• Solar System Dynamics

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