Minimum-fuel escape from two-body earth-sun system

Guido Colasurdo, Lorenzo Casalino, Elena Fantino

Research output: Contribution to journalArticlepeer-review

Abstract

Escaping from the solar system by receiving gravity assist from the Earth is considered in this paper. A simple procedure, which neglects the eccentricity of the Earth's orbit and uses the two-body problem equations and the patched-conic approximation, provides near-optimal trajectories using either a single or multiple Earth flybys. The analysis shows that the amount of propellant required to escape from the solar system decreases with the number of flybys but the mission time increases. The same approach is also used to find near-optimal trajectories that utilize a single powered flyby. The eccentricity of the Earth's orbit can be exploited to reduce the characteristic velocity; an indirect optimization procedure provides the most favorable locations where the Earth should be intercepted.

Original languageBritish English
Pages (from-to)709-721
Number of pages13
JournalAdvances in the Astronautical Sciences
Volume99
Issue number1
StatePublished - 1998

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