Dynamical Configurations of Celestial Systems Comprised of Multiple Irregular Bodies

摘要

This manuscript considers the main features of the nonlinear dynamics ofmultiple irregular celestial body systems. The gravitational potential, staticelectric potential, and magnetic potential are considered. Based on the threeestablished potentials, we show that three conservative values exist for thissystem, including a Jacobi integral. The equilibrium conditions for the systemare derived and their stability analyzed. The equilibrium conditions of acelestial system comprised of n irregular bodies are reduced to 12n minus 9equations. The dynamical results are applied to simulate the motion ofmultiple-asteroid systems. The simulation is useful for the study of thestability of multiple irregular celestial body systems and for the design ofspacecraft orbits to triple asteroid systems discovered in the solar system.The dynamical configurations of the five triple-asteroid systems 45 Eugenia, 87Sylvia, 93 Minerva, 216 Kleopatra, and 136617 1994CC, and the six-body system134340 Pluto are calculated and analyzed.