Statistics – Computation
Scientific paper
Nov 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cosre..31..304l&link_type=abstract
Cosmic Res., Vol. 31, No. 3, p. 304 - 312
Statistics
Computation
1
Scientific paper
The dependences of stay times at main belt and Trojan asteroids, of the durations and energy expenditures for transfer flights to the asteroids with direct return to the Earth on the semimajor axes of the asteroid orbits and on the choice of mission path with maneuvers near Venus, the Earth, Mars, and Jupiter have been considered for circular orbits of the planets and asteroids. A "sawtooth nature" has been recognized for the dependences of stay times at asteroids and of mission durations on asteroid semimajor axis. A diagram of mission energy expenditures along the best paths has been constructed on the semimajor axis vs orbital inclination plane, onto which large asteroids have been plotted. The most favorable paths have been recognized: they are the Earth to Mars to Mars to the asteroids to the Earth (to reach the nearer asteroids), or an Earth to Mars (with an atmospheric maneuver there) to the asteroids to the Earth for near Earth asteroids: the Earth, then an impulse, then to the Earth to Jupiter to the asteroids to the Earth (to reach the outer part of the main asteroid belt); and an Earth to Venus to Earth to Mars to the asteroids to the Earth, or an Earth to Venus to the Earth to the Earth to the asteroids to the Earth (to reach the Trojan asteroids). The energy expenditures do not exceed 13.5 km/sec for missions to main belt asteroids and 15 km/sec for missions to the Trojans. The reliability of the approximate energy expenditure estimate has been confirmed by computational data which allow for the actual orbital elements and configurations of the planets and asteroids for launches from 1980 to 2020.
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