Dynamical Configurations of Celestial Systems Comprised of Multiple Irregular Bodies
arXiv:1608.05251 · doi:10.1007/s10509-016-2884-z
Abstract
This manuscript considers the main features of the nonlinear dynamics of multiple irregular celestial body systems. The gravitational potential, static electric potential, and magnetic potential are considered. Based on the three established potentials, we show that three conservative values exist for this system, including a Jacobi integral. The equilibrium conditions for the system are derived and their stability analyzed. The equilibrium conditions of a celestial system comprised of n irregular bodies are reduced to 12n minus 9 equations. The dynamical results are applied to simulate the motion of multiple-asteroid systems. The simulation is useful for the study of the stability of multiple irregular celestial body systems and for the design of spacecraft orbits to triple asteroid systems discovered in the solar system. The dynamical configurations of the five triple-asteroid systems 45 Eugenia, 87 Sylvia, 93 Minerva, 216 Kleopatra, and 136617 1994CC, and the six-body system 134340 Pluto are calculated and analyzed.
arXiv comment60 pages, 20 figures, The online version of this article (doi:10.1007/s10509-016-2884-z) contains supplementary material, which is available to authorized users. 6 videos, 5 rar files, 1 pdf file of figures
References in corpus (25)
- Triplicity and Physical Characteristics of Asteroid (216) Kleopatra
- Orbits and Manifolds near the Equilibrium Points around a Rotating Asteroid
- Long-term Stable Equilibria for Synchronous Binary Asteroids
- Multiple Asteroid Systems: Dimensions and Thermal Properties from Spitzer Space Telescope and Ground-Based Observations
- Study of the Surface of 2003 EL61: the largest carbon-depleted object in the trans-neptunian belt
- Orbits of Near-Earth Asteroid Triples 2001 SN263 and 1994 CC: Properties, Origin, and Evolution
- Topological Classifications and Bifurcations of Periodic Orbits in the Potential Field of Highly Irregular-shaped Celestial Bodies
- (47171) 1999 TC36, A Transneptunian Triple
- Physical and dynamical properties of the main belt triple asteroid (87) Sylvia
- The Albedo, Size, and Density of Binary Kuiper Belt Object (47171) 1999 TC36
- Equilibrium Points and Periodic Orbits in the Vicinity of Asteroids with an Application to 216 Kleopatra
- Collision and Annihilation of Relative Equilibrium Points Around Asteroids with a Changing Parameter
- A Dynamical Solution of the Triple Asteroid System (45) Eugenia
- High-contrast observations of 136108 Haumea. A crystalline water-ice multiple system
- Stability Regions Around the Components of the Triple System 2001 SN263
- Minimum Energy Configurations in the -Body Problem and the Celestial Mechanics of Granular Systems
- Orbital Mechanics near a Rotating Asteroid
- Periodic Motion near the Surface of Asteroids
- Characteristics and Large Bulk Density of the C-type Main-Belt Triple Asteroid (93) Minerva
- Orbits, masses, and evolution of main belt triple (87) Sylvia
- On the Stability of the Satellites of Asteroid 87 Sylvia
- Instability zones for satellites of asteroids. The example of the (87) Sylvia system
- Are semi-numerical methods an effective tool for locating periodic orbits in 3D potentials?
- Escape dynamics and fractal basin boundaries in Seyfert galaxies
- Constraining multiple systems with GAIA
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