Optimization of three-impulse, low-energy Earth-Moon transfer trajectories with a fixed time of flight in the restricted four-body problem is investigated in this work. Based on the two-impulse, low-energy solutions, a strategy is developed to design the time-fixed optimal three-impulse Earth-Moon transfers. The necessary conditions of optimality for a two-impulse transfer are stated in terms of the primer vector. Primer vector theory is then extended to nonoptimal two-impulse trajectories to establish a criterion whereby adding an interior impulse reduces total fuel expenditure. Examples of optimal three-impulse, low-energy Earth-Moon transfer trajectories are presented. The differences between the two-impulse transfers and three-impulse transfers are discussed.
On Optimal Three-Impulse Earth-Moon Transfers in a Four-Body Model
Topputo, F.;Wang, Y.
2022-01-01
Abstract
Optimization of three-impulse, low-energy Earth-Moon transfer trajectories with a fixed time of flight in the restricted four-body problem is investigated in this work. Based on the two-impulse, low-energy solutions, a strategy is developed to design the time-fixed optimal three-impulse Earth-Moon transfers. The necessary conditions of optimality for a two-impulse transfer are stated in terms of the primer vector. Primer vector theory is then extended to nonoptimal two-impulse trajectories to establish a criterion whereby adding an interior impulse reduces total fuel expenditure. Examples of optimal three-impulse, low-energy Earth-Moon transfer trajectories are presented. The differences between the two-impulse transfers and three-impulse transfers are discussed.File | Dimensione | Formato | |
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