Dynamics of Three Bodies Located on a Straight Line for a Finite Speed of Gravity

We study the dynamics of three bodies located on a straight line for a given finite speed of gravity in the case where the masses of external bodies and their distances to the central body are identical. It is shown that the motion of these bodies is unstable and the escape velocity is higher than t...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-05, Vol.263 (2), p.299-326
Main Author: Slyusarchuk, Vu. Y.
Format: Article
Language:English
Subjects:
Celestial mechanics
Escape velocity
Gravity
Mathematics
Mathematics and Statistics
Straight lines
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Summary:We study the dynamics of three bodies located on a straight line for a given finite speed of gravity in the case where the masses of external bodies and their distances to the central body are identical. It is shown that the motion of these bodies is unstable and the escape velocity is higher than the corresponding velocity in the classical celestial mechanics.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05927-4