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Astrodynamics

Article Title

Stable periodic orbits for spacecraft around minor celestial bodies

Keywords

asteroid, comet, deep space exploration, periodic orbits, stability, orbit design

Abstract

We are interested in stable periodic orbits for spacecraft in the gravitational field of minorcelestial bodies. The stable periodic orbits around minor celestial bodies are useful not onlyfor the mission design of the deep space exploration, but also for studying the long-timestability of small satellites in the large-size-ratio binary asteroids. The irregular shapesand 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 stableperiodic 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: (1) stableperiodic orbits generated from the stable equilibrium points outside the minor celestialbody; (2) stable periodic orbits continued from the unstable periodic orbits around theunstable equilibrium points; (3) retrograde and nearly circular periodic orbits with zero-inclination around minor celestial bodies; (4) resonance periodic orbits; (5) near-surfaceinclined periodic orbits. We take asteroids 243 Ida, 433 Eros, 6489 Golevka, 101955 Bennu,and the comet 1P/Halley for examples.

Publisher

Tsinghua University Press

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