Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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IssuesArchive of Issues2019-8pp.1131-1137

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Total articles in the database: 12804
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N.I. Amelkin, "The Perihelion Shift of Mercury's Orbit," Mech. Solids. 54 (8), 1131-1137 (2019)
Year 2019 Volume 54 Number 8 Pages 1131-1137
DOI 10.3103/S0025654419080016
Title The Perihelion Shift of Mercury's Orbit
Author(s) N.I. Amelkin (Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, Moscow Region, 141700 Russia, namelkin@mail.ru)
Abstract Influence of planets of the solar system on the precession of the orbit of Mercury is studied in the framework of classical mechanics. It is shown that the average perihelion shift of the orbit of Mercury, calculated in the framework of the planar limited problem, is 556.5 arc seconds per century and coincides with the observed one with a relative accuracy of 2.5%. The incomplete coincidence between the calculated average displacement and the observational data is explained by the presence in the observed displacement of vibrational components with a total amplitude of up to 80 arc seconds and periods from several years to tens of years.
Keywords solar system, limited circular three-body problem, perihelion shift of Mercury
Received 01 March 2019
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