 | | 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 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 57, Issue 4 / 2022 | Next article >> |
| V.F. Chub, "Formulation of the N-body Problem Via the Parameters of the Extended Newton Group," Mech. Solids. 57 (4), 712-722 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
4 |
Pages |
712-722 |
| DOI |
10.3103/S0025654422040057 |
| Title |
Formulation of the N-body Problem Via the Parameters of the Extended Newton Group |
| Author(s) |
V.F. Chub (Korolev Rocket and Space Corporation Energia, Korolev, 141070 Russia, post2@rsce.ru) |
| Abstract |
A non-relativistic analogue of the conformal group, namely, 15-parameter extended Galileo-Newton group, which includes space-time transfers and gravitational transformations, spatial rotations, boosts and scale transformations, is considered. Based on its 12-parameter subgroup (without rotations), the nonrelativistic n-body problem is formulated by taking into account the well-known effect of time dilation in a gravitational field. |
| Keywords |
conformal group, Galileo-Newton group, scaling transformation, group extension, inertial navigation, photon mass, gravitational time dilation, n-body problem |
| Received |
27 July 2020 | Revised |
10 July 2021 | Accepted |
17 July 2021 |
| Link to Fulltext |
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