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Optimisation modelling of mid-course corrections along interplanetary transfers

Iorfida, E, Palmer, PL and Roberts, RM (2014) Optimisation modelling of mid-course corrections along interplanetary transfers In: 65th International Astronautical Congress (IAC) 2014, 2014-09-29 - 2014-10-03, Toronto, Canada.

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The primer vector theory, firstly proposed by Lawden, defines a set of necessary conditions to characterise whether a transfer trajectory is optimum with respect to propellant usage, within a two-body problem context. If the conditions are not satisfied, one or more potential intermediate impulses are performed along the transfer trajectory, in order to lower the overall cost. The method is based on the propagation of the state transition matrix and on the solution of a boundary value problem, which leads to a mathematical and computational complexity. A novel propagator has been developed and it is based on the decoupling between the in-plane and out-of-plane components of the primer vector on the orbital plane. It reduces the mathematical complexity and the computational cost of the problem presented by Lawden. In this paper it is proved how the method is independent from the semi-major axis of the transfer orbit. A case that exploits the properties of the novel propagator is also presented. The optimality has been analysed keeping the transfer arc fixed, while the departure and arrival trajectories are varying. The search space is defined only by the boundary conditions on the transfer orbit and its eccentricity.

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, PL
Roberts, RM
Date : 2014
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 29 Nov 2016 14:46
Last Modified : 31 Oct 2017 18:58

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