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note
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2/2 - U(r), where U is the gravitational plus centripetal force potential, r defines a location on the surface of the body, and V is the speed of a particle relative to the rotating body frame (14). The gravitational plus rotational potential is defined as the value of J evaluated for zero speed or the value of -U(r) over the surface of the body. The speed necessary to have sufficient energy to travel from the lowest point of the potential [largest value of U(r) at location r*] to any other point r on the surface of the body is then √2[U(r*)-U(r)], which is plotted in the figure.
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note
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We thank the mission operation and spacecraft team of the Hayabusa project at ISAS/JAXA for their efforts that resulted in making Hayabusa the first Japanese spacecraft rendezvoused and landed at the asteroid. This research was supported by ISAS/JAXA, NASA, Kobe University through the 21st Century COE Program of the Origin and Evolution of Planetary Systems, and University of Aizu. A portion of the research reported in this paper was performed at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with NASA.
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