Capture in Regime of a Trapped Motion with Further Inelastic Collision for <i>Finite-Sized</i> Asteroid in ER3BP
The application of a modern solving algorithm or method of resolving dynamical equations for small projectile of finite sizes orbiting to be captured in a trapped zigzaging oscillations on orbit around the another large asteroid and in a further inelastic colliding scenario with him (using a formula...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/8/1548 |
| _version_ | 1797407748159176704 |
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| author | Sergey Ershkov Dmytro Leshchenko Alla Rachinskaya |
| author_facet | Sergey Ershkov Dmytro Leshchenko Alla Rachinskaya |
| author_sort | Sergey Ershkov |
| collection | DOAJ |
| description | The application of a modern solving algorithm or method of resolving dynamical equations for small projectile of finite sizes orbiting to be captured in a trapped zigzaging oscillations on orbit around the another large asteroid and in a further inelastic colliding scenario with him (using a formulation of the elliptic restricted three-body problem, ER3BP) is studied semi-analytically. Herein, two primaries <i>M<sub>Sun</sub></i> and <i>m<sub>p</sub></i> (<i>m<sub>p</sub></i> < <i>M<sub>Sun</sub></i>) revolve around their barycenter on Keplerian orbits with low eccentricities. A smaller body (projectile for attacking a large asteroid) is supposed to be a solid, almost symmetric ellipsoid, having the gravitational potential of the MacCullagh type. Our aim is to develop a previously introduced solving procedure and to investigate the updated dynamics of the projectile captured to a <i>trapped</i> dynamical resonance, thereby having the inelastic collision of a small projectile orbiting on quasi-stable elliptic orbits around the large asteroid, <i>m<sub>p</sub></i>. |
| first_indexed | 2024-03-09T03:47:05Z |
| format | Article |
| id | doaj.art-128a09db27cc47c99a2cd6f29d040fe2 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T03:47:05Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-128a09db27cc47c99a2cd6f29d040fe22023-12-03T14:32:45ZengMDPI AGSymmetry2073-89942022-07-01148154810.3390/sym14081548Capture in Regime of a Trapped Motion with Further Inelastic Collision for <i>Finite-Sized</i> Asteroid in ER3BPSergey Ershkov0Dmytro Leshchenko1Alla Rachinskaya2Department of Scientific Research, Plekhanov Russian University of Economics, Scopus Number 60030998, 117997 Moscow, RussiaDepartment of Theoretical Mechanics, Odessa State Academy of Civil Engineering and Architecture, 65029 Odessa, UkraineFaculty of Mathematics, Physics and Information Technologies, Odessa I. I. Mechnikov National University, 2 Dvoryanskaya St., 65082 Odessa, UkraineThe application of a modern solving algorithm or method of resolving dynamical equations for small projectile of finite sizes orbiting to be captured in a trapped zigzaging oscillations on orbit around the another large asteroid and in a further inelastic colliding scenario with him (using a formulation of the elliptic restricted three-body problem, ER3BP) is studied semi-analytically. Herein, two primaries <i>M<sub>Sun</sub></i> and <i>m<sub>p</sub></i> (<i>m<sub>p</sub></i> < <i>M<sub>Sun</sub></i>) revolve around their barycenter on Keplerian orbits with low eccentricities. A smaller body (projectile for attacking a large asteroid) is supposed to be a solid, almost symmetric ellipsoid, having the gravitational potential of the MacCullagh type. Our aim is to develop a previously introduced solving procedure and to investigate the updated dynamics of the projectile captured to a <i>trapped</i> dynamical resonance, thereby having the inelastic collision of a small projectile orbiting on quasi-stable elliptic orbits around the large asteroid, <i>m<sub>p</sub></i>.https://www.mdpi.com/2073-8994/14/8/1548dynamics of finite-sized satelliterotation of finite-sized satelliteelliptic restricted three-body problem, ER3BPtrapped motion of satellitegravitational potential of MacCullagh typequasi-stable elliptic orbit |
| spellingShingle | Sergey Ershkov Dmytro Leshchenko Alla Rachinskaya Capture in Regime of a Trapped Motion with Further Inelastic Collision for <i>Finite-Sized</i> Asteroid in ER3BP Symmetry dynamics of finite-sized satellite rotation of finite-sized satellite elliptic restricted three-body problem, ER3BP trapped motion of satellite gravitational potential of MacCullagh type quasi-stable elliptic orbit |
| title | Capture in Regime of a Trapped Motion with Further Inelastic Collision for <i>Finite-Sized</i> Asteroid in ER3BP |
| title_full | Capture in Regime of a Trapped Motion with Further Inelastic Collision for <i>Finite-Sized</i> Asteroid in ER3BP |
| title_fullStr | Capture in Regime of a Trapped Motion with Further Inelastic Collision for <i>Finite-Sized</i> Asteroid in ER3BP |
| title_full_unstemmed | Capture in Regime of a Trapped Motion with Further Inelastic Collision for <i>Finite-Sized</i> Asteroid in ER3BP |
| title_short | Capture in Regime of a Trapped Motion with Further Inelastic Collision for <i>Finite-Sized</i> Asteroid in ER3BP |
| title_sort | capture in regime of a trapped motion with further inelastic collision for i finite sized i asteroid in er3bp |
| topic | dynamics of finite-sized satellite rotation of finite-sized satellite elliptic restricted three-body problem, ER3BP trapped motion of satellite gravitational potential of MacCullagh type quasi-stable elliptic orbit |
| url | https://www.mdpi.com/2073-8994/14/8/1548 |
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