A Hamiltonian approach to the planar optimization of mid-course corrections

Iorfida, E, Palmer, PL and Roberts, M (2016) A Hamiltonian approach to the planar optimization of mid-course corrections Celestial Mechanics and Dynamical Astronomy, 124 (4). pp. 367-383.

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Abstract

Lawden’s primer vector theory gives a set of necessary conditions that characterize the optimality of a transfer orbit, defined accordingly to the possibility of adding mid-course corrections. In this paper a novel approach is proposed where, through a polar coordinates transformation, the primer vector components decouple. Furthermore, the case when transfer, departure and arrival orbits are coplanar is analyzed using a Hamiltonian approach. This procedure leads to approximate analytic solutions for the in-plane components of the primer vector. Moreover, the solution for the circular transfer case is proven to be the Hill’s solution. The novel procedure reduces the mathematical and computational complexity of the original case study. It is shown that the primer vector is independent of the semi-major axis of the transfer orbit. The case with a fixed transfer trajectory and variable initial and final thrust impulses is studied. The acquired related optimality maps are presented and analyzed and they express the likelihood of a set of trajectories to be optimal. Furthermore, it is presented which kind of requirements have to be fulfilled by a set of departure and arrival orbits to have the same profile of primer vector.

Item Type:	Article
Subjects :	Electronic Engineering
Divisions :	Faculty of Engineering and Physical Sciences > Electronic Engineering > Surrey Space Centre
Authors :	Authors Email ORCID Iorfida, E UNSPECIFIED UNSPECIFIED Palmer, PL UNSPECIFIED UNSPECIFIED Roberts, M UNSPECIFIED UNSPECIFIED
Date :	April 2016
Identification Number :	https://doi.org/10.1007/s10569-015-9666-8
Copyright Disclaimer :	Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Uncontrolled Keywords :	Science & Technology, Physical Sciences, Astronomy & Astrophysics, Mathematics, Interdisciplinary Applications, Mathematics, Primer vector, Trajectory optimization, Indirect method, Mid-course corrections, Deep space maneuvers, TRAJECTORIES
Related URLs :	Author
Depositing User :	Symplectic Elements
Date Deposited :	22 Nov 2016 15:11
Last Modified :	22 Nov 2016 15:11
URI:	http://epubs.surrey.ac.uk/id/eprint/812119

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