Stable Periodic Orbits for Spacecrafts around Minor Celestial Bodies

Abstract

We are interested in stable periodic orbits for spacecrafts in the gravitational field of minor celestial bodies. The stable periodic orbits around minor celestial bodies are useful not only for the mission design of the deep space exploration, but also for studying the long-time stability of small satellites in the large-size-ratio binary asteroids. The irregular shapes and gravitational fields of the minor celestial bodies are modeled by the polyhedral model. Using the topological classifications of periodic orbits and the grid search method, the stable periodic orbits can be calculated and the topological cases can be determined. Furthermore, we find five different types of stable periodic orbits around minor celestial bodies: A) Stable periodic orbits generated from the stable equilibrium points outside the minor celestial body, B) Stable periodic orbits continued from the unstable periodic orbits around the unstable equilibrium points, C) Retrograde and nearly circular periodic orbits with zero-inclination around minor celestial bodies, D) Resonance periodic orbits, E) Near-surface inclined periodic orbits. We take asteroid 243 Ida, 433 Eros, 6489 Golevka, 101955 Bennu, and the comet 1P/Halley for examples.

arXiv comment53 pages, 17 figures, Astrodynamics 2018

References in corpus (12)

• Analysis of the Potential Field and Equilibrium Points of Irregular-shaped Minor Celestial Bodies
• Orbits and Manifolds near the Equilibrium Points around a Rotating Asteroid
• Binary Asteroid Systems: Tidal End States and Estimates of Material Properties
• Resonant periodic orbits in the exoplanetary systems
• Topological Classifications and Bifurcations of Periodic Orbits in the Potential Field of Highly Irregular-shaped Celestial Bodies
• Analysis of Asteroid (216) Kleopatra using dynamical and structural constraints
• 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
• Periodic Motion near the Surface of Asteroids
• Surface Motion Relative to the Irregular Celestial Bodies
• Multiple Bifurcations in the Periodic Orbit around Eros
• Periodic Orbit Families in the Gravitational Field of Irregular-shaped Bodies