Orbit Mechanics About Asteroids and Comets

Space missions to small solar system bodies such as asteroids and comets must deal with multiple perturbations acting on the spacecraft. These include strongperturbations from the gravityfield and solar tide, but for small bodies, the most important perturbations may arise from solar radiation pressure acting on the spacecraft. Previous research has generally investigated the effect of the gravity field, solar tide, and solar radiation pressure acting on a spacecraft trajectory about an asteroid in isolation and has not considered their joint effect. In this paper, a more general theoretical discussion of the joint effects of these forces will be given. Specific criteria are found for when it is possible for a spacecraft to orbit about a small body in a bound orbit. In the casewhere such boundmotion is possible, a general solution for the averaged motion of a spacecraft subject to solar radiation pressure perturbations is given. Finally, interactions between solar radiation pressure and gravity field perturbations are investigated.

[1]  D. Scheeres,et al.  New Solar Radiation Pressure Force Model for Navigation , 2010 .

[2]  D. Scheeres.  Dynamics about Uniformly Rotating Triaxial Ellipsoids: Applications to Asteroids , 1994 .

[3]  Harry Dankowicz,et al.  Some special orbits in the two-body problem with radiation pressure , 1994 .

[4]  Daniel J. Scheeres,et al.  Spacecraft dynamics in the vicinity of a comet , 2008 .

[5]  H. U. Keller,et al.  On the stability of dust particle orbits around cometary nuclei , 1995 .

[6]  Daniel J. Scheeres,et al.  Stability of Sun-Synchronous Orbits in the Vicinity of a Comet , 2009 .

[7]  Weiduo Hu.  Orbital motion in uniformly rotating second degree and order gravity fields. , 2004 .

[8]  Daniel J. Scheeres,et al.  Periodic Orbits in Rotating Second Degree and Order Gravity Fields , 2008 .

[9]  Shijie Xu,et al.  Equilibrium attitude and nonlinear attitude stability of a spacecraft on a stationary orbit around an asteroid , 2013 .

[10]  A. Lemaitre,et al.  The impact of Earth’s shadow on the long-term evolution of space debris , 2013 .

[11]  E. Dejong,et al.  Dynamics of Orbits Close to Asteroid 4179 Toutatis , 1998 .

[12]  D. Scheeres,et al.  Long-term dynamics of high area-to-mass ratio objects in high-Earth orbit , 2013 .

[13]  Erwin Mooij,et al.  State propagation in an uncertain asteroid gravity field , 2013 .

[14]  Ryan P. Russell,et al.  Survey of spacecraft trajectory design in strongly perturbed environments , 2012 .

[15]  Junichiro Kawaguchi,et al.  Hayabusa, Summary of Guidance, Navigation and Control Achievement in its Proximity Phase , 2006 .

[16]  R. S. Hudson,et al.  Orbits Close to Asteroid 4769 Castalia , 1996 .

[17]  Daniel J. Scheeres,et al.  Satellite Dynamics about Small Bodies: Averaged Solar Radiation Pressure Effects , 1999 .

[18]  J. Miller,et al.  Evaluation of the Dynamic Environment of an Asteroid: Applications to 433 Eros , 2000 .

[19]  F. Mignard,et al.  About an unsuspected integrable problem , 1984 .

[20]  Daniel J. Scheeres,et al.  Solar sail orbit operations at asteroids , 2000 .

[21]  Daniel J. Scheeres,et al.  The Actual Dynamical Environment About Itokawa , 2006 .

[22]  Shijie Xu,et al.  Attitude stability of a spacecraft on a stationary orbit around an asteroid subjected to gravity gradient torque , 2013, 1408.5554.