Survey of Methods for Calculating Impulsive $\Delta V$-Minimizing Orbit Transfer Maneuvers

Walsh, Matt; Peck, Mason A.

doi:10.2514/6.2020-1923

AIAA Scitech 2020 Forum 2020

DOI: 10.2514/6.2020-1923

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Survey of Methods for Calculating Impulsive $\Delta V$-Minimizing Orbit Transfer Maneuvers

Matt Walsh

Mason A. Peck

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2023

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Existence of Infinitely Many Optimal Iso-Impulse Trajectories in Two-Body Dynamics

Saloglu

Taheri

Landau

2023

Journal of Guidance, Control, and Dynamics

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The question of how many impulses are necessary to optimize a transfer-type maneuver has remained open for decades. Recently, the introduction of optimal switching surfaces revealed the existence of iso-impulse trajectories with differing numbers of impulses for fixed-time rendezvous maneuvers. In this paper, the multiplicity of minimum-[Formula: see text] impulsive trajectories is studied for long-time-horizon maneuvers. One feature of these trajectories is that many of the impulses are applied at specific positions, which we coin as impulse anchor positions. Leveraging a novel analytic method, it is demonstrated that, under the inverse-square gravity model, multiple-impulse minimum-[Formula: see text] solutions can be generated from a two-impulse solution. In addition to recovering all impulsive solutions of a multirevolution benchmark problem, all solutions are classified, and it is shown that there are infinitely many optimal iso-impulse solutions. Two planet-centric problems are also solved to demonstrate that the proposed method is applicable to different transfer problems in addition to the benchmark problem. The proposed method provides analytic bounds on the lower (required) and upper (allowable) number of impulses for three classes of maneuvers: fixed-terminal-time rendezvous, free-terminal-time rendezvous, and phase-free transfer. A new interpretation of the primer vector for impulsive extremals with phasing orbits is proposed.

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Existence of Infinitely Many Optimal Iso-Impulse Trajectories in Two-Body Dynamics

Saloglu

Taheri

Landau

2023

Journal of Guidance, Control, and Dynamics

View full text Add to dashboard Cite

show abstract

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Survey of Methods for Calculating Impulsive $\Delta V$-Minimizing Orbit Transfer Maneuvers

Cited by 1 publication

References 85 publications

Existence of Infinitely Many Optimal Iso-Impulse Trajectories in Two-Body Dynamics

Existence of Infinitely Many Optimal Iso-Impulse Trajectories in Two-Body Dynamics

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