AIAA/AAS Astrodynamics Specialist Conference and Exhibit 2008
DOI: 10.2514/6.2008-6251
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Dynamics and Control for Surface Exploration of Small Bodies

Abstract: We provide a general discussion on the surface dynamics of particles in the gravitational field of a small body system. In this paper, we model the asteroid as an ellipsoid, and also consider binary systems. We investigate the dynamics near the stable and unstable surface equilibria of an ellipsoid body under different perturbations. We give analytical tools to approximate the total distance covered and the amount of time it takes for a particle to settle on a non-ideal surface. Using these analytical tools, w… Show more

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Cited by 28 publications
(16 citation statements)
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References 11 publications
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“…The surface topographical information and gravitational field data of asteroids are the basis for establishing the mathematical model of surface motion. Bellerose et al [66] used the tri-axial ellipsoid model to discuss the descriptive method for motion on the asteroid surface and to analyze the conditions of contact between the probe and the asteroid surface. The authors investigated the impact of non-spherical gravitational force on surface motion and simulated the motion at the surface of asteroids under different collision conditions and different friction parameters.…”
Section: Near Asteroid Orbital Dynamicsmentioning
confidence: 99%
“…The surface topographical information and gravitational field data of asteroids are the basis for establishing the mathematical model of surface motion. Bellerose et al [66] used the tri-axial ellipsoid model to discuss the descriptive method for motion on the asteroid surface and to analyze the conditions of contact between the probe and the asteroid surface. The authors investigated the impact of non-spherical gravitational force on surface motion and simulated the motion at the surface of asteroids under different collision conditions and different friction parameters.…”
Section: Near Asteroid Orbital Dynamicsmentioning
confidence: 99%
“…A numeric method with adequate degree of sophistication would be crucial for this investigation because over-simplified models may lead to the loss of some essential properties. Bellerose et al [11] presented a general discussion on dynamics of particles on the surface of a uniformly rotating ellipsoid, in which an analytical tool for total migrating distance was developed to help designing the control laws of landing vehicles on asteroid surface. Guibout et al [12] presented a full analysis on the motion of a particle restricted on the surface of an ellipsoid, which is a general discussion of the motion properties through a wide range of parameters.…”
Section: Introductionmentioning
confidence: 99%
“…3 The dynamic equation of motion as well as the existence and stability of equilibria on the smooth surface of the ellipsoid is studied by Guibout and Scheeres (2003). The Lagrangian (Guibout and Scheeres 2003) and Jacobian integral (Bellerose and Scheeres 2008;Liu et al 2013) can be defined using the gravitational potential and the motion parameters. The linear stability of equilibria on the smooth surface of a cube can be computed by the eigenvalues of the equilibria (Liu et al 2013).…”
Section: Introductionmentioning
confidence: 99%