 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 7 / 2023 | Next article >> |
| A.P. Markeev, "On Resonance Values of Parameters in the Problem of Stability of Lagrange Solutions in a Restricted Three-Body Problem Close to a Circle," Mech. Solids. 58 (7), 2531-2543 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2531-2543 |
| DOI |
10.3103/S0025654423070142 |
| Title |
On Resonance Values of Parameters in the Problem of Stability of Lagrange Solutions in a Restricted Three-Body Problem Close to a Circle |
| Author(s) |
A.P. Markeev (Moscow Aviation Institute (Research University), Moscow, Russia, anat-markeev@mail.ru) |
| Abstract |
The restricted problem of three bodies (material points) moving under the action of gravitational attraction according to Newton’s law is considered. The orbits of the main attracting bodies
are considered to be ellipses with a small eccentricity, while a passively gravitating body can perform
arbitrary spatial motion near the triangular libration point. For the Hamiltonian function corresponding to such a motion, the structure of the normal form is found in the case of third-order resonances.
In the planar restricted three-body problem, the equations are derived up to the second degree of
eccentricity for resonance curves for all resonances up to the sixth order inclusive. |
| Keywords |
restricted three-body problem, triangular libration points, resonance |
| Received |
30 March 2023 | Revised |
07 June 2023 | Accepted |
20 June 2023 |
| Link to Fulltext |
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