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Modelling mid-course corrections for optimality conditions along interplanetary transfers

Iorfida, E, Palmer, P and Roberts, RM (2014) Modelling mid-course corrections for optimality conditions along interplanetary transfers In: 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), 2014-07-15 - 2014-07-18, Narvik Univ Coll, Narvik, NORWAY.

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Within the field of trajectory optimisation, Lawden developed the primer vector theory, which defines a set of necessary conditions to characterise whether a transfer trajectory, in the two-body problem context, is optimum with respect to propellant usage. If the conditions are not satisfied, a region of the transfer trajectory is identified in which one or more potential intermediate impulses are performed in order to lower the overall cost. The method is computationally complex owing to having to solve a boundary value problem. In this paper is presented a new propagator that reduces the mathematical complexity and the computational cost of the problem, in particular it exploits a separation between the in-plane and out-of-plane components of the primer vector along the transfer trajectory. Using this propagator, the optimality of the transfer arc has been investigated, varying the departure and arrival orbits. In particular, keeping fixed the transfer trajectory, the optimality has been extensively analysed varying both the initial and final positions on the orbit, together with the directions of the initial and final thrust impulses.

Item Type: Conference or Workshop Item (Conference Paper)
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering > Surrey Space Centre
Authors :
Iorfida, E
Palmer, P
Roberts, RM
Date : 1 July 2014
DOI : 10.1063/1.4904608
Copyright Disclaimer : © 2014 AIP Publishing LLC
Uncontrolled Keywords : Science & Technology, Physical Sciences, Mathematics, Applied, Physics, Applied, Mathematics, Physics, primer vector, mid-course corrections, interplanetary trajectories, optimisation, CIRCULAR ORBIT, TRAJECTORIES
Depositing User : Symplectic Elements
Date Deposited : 22 Nov 2016 15:30
Last Modified : 31 Oct 2017 18:57

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