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An extension and numerical analysis of the Hohmann spiral transfer

Owens, Steven Robert and Macdonald, Malcolm (2012) An extension and numerical analysis of the Hohmann spiral transfer. In: 63rd International Astronautical Congress, 2012-10-01 - 2012-10-05, Naples.

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    Abstract

    This paper extends previous work on the Hohmann Transfer Spiral (HST) by introducing a plane change into the analysis. An analytical expression determining the critical specific impulse incorporating a plane change is derived for both a circular and elliptical initial orbit. This expression determines the point at which the HST is equivalent in terms of fuel mass fraction to the compared Hohmann transfer. The expression assumes that the inclination change is performed by the high-thrust system. The numerical approach uses a blending method coupled with optimised weighting constants to deliver a locally optimal low-thrust trajectory. By comparing the analytical and numerical approaches, it is shown that the analytical can deliver a good estimation of the HST characteristics so long as little orbit eccentricity control is required. In the cases where orbit eccentricity control is required, the numerical approach should be used. A case study from an inclined Geostationary Transfer Orbit, equivalent to a high-latitude launch site, to Geostationary Earth Orbit has shown that the HST can offer a fuel mass saving approximately 5% of the launch mass. This equates to the mass penalty associated with this high-latitude launch site and therefore mimics the advantages of a low-latitude launch site at the expense of a longer transfer duration.

    Item type: Conference or Workshop Item (Paper)
    ID code: 40878
    Keywords: Hohmann Spiral , numerical analysis, low-thrust trajectories design, geostationary transfer orbit , Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics
    Subjects: Technology > Mechanical engineering and machinery
    Technology > Motor vehicles. Aeronautics. Astronautics
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
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    Depositing user: Pure Administrator
    Date Deposited: 13 Aug 2012 16:21
    Last modified: 12 Aug 2013 11:53
    URI: http://strathprints.strath.ac.uk/id/eprint/40878

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