Non-Keplerian Behavior and Instability of Motion of Two Bodies Caused by the Finite Velocity of Gravitation

It is shown that the motion of two bodies described with regard for the finite velocity of gravitation does not obey the Kepler laws and that this motion is unstable.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-12, Vol.243 (3), p.467-492
Main Author: Slyusarchuk, V. Yu
Format: Article
Language:English
Subjects:
Gravitation
Gravity
Kepler laws
Laws, regulations and rules
Mathematics
Mathematics and Statistics
Motion stability
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Description
Summary:It is shown that the motion of two bodies described with regard for the finite velocity of gravitation does not obey the Kepler laws and that this motion is unstable.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04550-0