Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Stepan P. Sosnitskii"'
Autor:
Stepan P. Sosnitskii
Publikováno v:
The Astronomical Journal, Vol 167, Iss 5, p 198 (2024)
In this work, we use the energy and angular momentum integrals as a resource for applying Hill’s approach to the general three-body problem. As a result, we obtain theorems on the Lagrange stability and Hill stability in the general three-body prob
Externí odkaz:
https://doaj.org/article/911c390d2f0a4e2095fe73d5284c5955
Autor:
Stepan P. Sosnitskii
Publikováno v:
International Journal of Non-Linear Mechanics. 104:116-120
In this paper, we consider the existence conditions of bounded motions of an infinitesimally small particle in the spatial circular restricted three-body problem. In particular, by using the Jacobi integral that corresponds to the inertial coordinate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b4d94e0ef46eaaedd88782a37ac7bf5
https://doi.org/10.1016/j.ijnonlinmec.2018.05.012
https://doi.org/10.1016/j.ijnonlinmec.2018.05.012
Autor:
Stepan P. Sosnitskii
Publikováno v:
International Journal of Non-Linear Mechanics. 67:34-38
We study a special case of the three-body problem where two bodies are the same mass and there is a manifold of symmetrical motions. We find conditions of existence of bounded symmetric motions. To analyze stability, we substantially rely on the stru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80f4fb433135e2a3a5f36c752d9bdc24
https://doi.org/10.1016/j.ijnonlinmec.2014.08.001
https://doi.org/10.1016/j.ijnonlinmec.2014.08.001
Autor:
Stepan P. Sosnitskii
Publikováno v:
Applied Mathematics. :369-377
For the three-body problem, we consider the Lagrange stability. To analyze the stability, along with integrals of energy and angular momentum, we use relations by the author from [1], which band together separately squared mutual distances between bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad10b22b32779e590e9e0ffe65937579
https://doi.org/10.4236/am.2013.42057
https://doi.org/10.4236/am.2013.42057
Autor:
Stepan P. Sosnitskii
Publikováno v:
The Astronomical Journal. 136:2533-2540
For the spatial three-body problem, the orbital stability of stationary triangular Lagrangian solutions is investigated. To the end of stability analysis, new equations coupling the mutual distances between bodies (mass points) are deduced. A theorem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dde14ba6ffeb162ba6c88f1d43aa8684
https://doi.org/10.1088/0004-6256/136/6/2533
https://doi.org/10.1088/0004-6256/136/6/2533
Autor:
Stepan P. Sosnitskii
Publikováno v:
The Astronomical Journal. 135:187-195
We explore the stability of triangular libration points in the spatial (three-dimensional) circular restricted three-body problem. For the analysis of stability, we derive new equations coupling up distances from an infinitesimally small particle to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb92c8b33a4076b9f53ac19493731ffb
https://doi.org/10.1088/0004-6256/135/1/187
https://doi.org/10.1088/0004-6256/135/1/187
Autor:
Stepan P. Sosnitskii
Publikováno v:
International Journal of Non-Linear Mechanics. 35:487-496
Conservative systems with gyroscopic forces are considered. Criteria of instability and stability of the equilibrium of such systems are suggested for the cases where gyroscopic forces may be dominating. It is shown that in the case of essentially no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a445b43a61b37a253ee62efce11577b
https://doi.org/10.1016/s0020-7462(99)00036-0
https://doi.org/10.1016/s0020-7462(99)00036-0
Autor:
Stepan P. Sosnitskii
Publikováno v:
The Astronomical Journal. 117:3054-3058
The Lagrange and Hill stability of the motion of point masses moving under the influence of their mutual gravitational attraction are studied. A modified model of the restricted three-body problem is proposed. In accordance with this model, the small
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b841c552283d60780a1f497177d4843a
https://doi.org/10.1086/300889
https://doi.org/10.1086/300889
Autor:
Stepan P. Sosnitskii
Publikováno v:
The Astronomical Journal. 137:3730-3730
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c097e98e14f6c1f50a04584745408107
https://doi.org/10.1088/0004-6256/137/3/3730
https://doi.org/10.1088/0004-6256/137/3/3730