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The perihelion advance according to a post‐N EWTON ian gravitational law with logarithmic correction term
Author(s) -
Mücket J. P.,
Treder H.J.
Publication year - 1977
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.19772980202
Subject(s) - physics , ellipse , term (time) , gravitation , logarithm , planet , motion (physics) , newtonian fluid , classical mechanics , newtonian potential , astrophysics , astronomy , mathematical analysis , mathematics
By a gravitational potential Φ′( r ) = − G 0 M/r (I + α + α In r ) with |α|≪ 1 a motion δφ of the perihelion of a planet is resulting which is neither depending on the central‐mass M nor on the semi‐axis of the K EPLER ‐ellipse δφ ≈ ‐ απ. Therefore, |α| must be smaller than 10 −8 .
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