In this paper two-impulse Earth-Moon transfers are treated in the restricted four-body problem with the Sun, the Earth, and the Moon as primaries. The problem is formulated with mathematical means and solved through direct transcription and multiple shooting strategy. Thousands of solutions are found, which make it possible to frame known cases as special points of a more general picture. Families of solutions are defined and characterized, and their features are discussed. The methodology described in this paper is useful to perform trade-off analyses, where many solutions have to be produced and assessed.

On Optimal Two-Impulse Earth-Moon Transfers in a Four-Body Model

TOPPUTO, FRANCESCO
2013-01-01

Abstract

In this paper two-impulse Earth-Moon transfers are treated in the restricted four-body problem with the Sun, the Earth, and the Moon as primaries. The problem is formulated with mathematical means and solved through direct transcription and multiple shooting strategy. Thousands of solutions are found, which make it possible to frame known cases as special points of a more general picture. Families of solutions are defined and characterized, and their features are discussed. The methodology described in this paper is useful to perform trade-off analyses, where many solutions have to be produced and assessed.
2013
Ballistic capture; Earth-Moon transfer; Low-energy transfer; Restricted four-body problem; Restricted three-body problem; Trajectory optimization
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/746573
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