An extension and numerical analysis of the Hohmann spiral transfer

Research output: Contribution to conferencePaper

  • 5 Citations

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.
LanguageEnglish
PagesArticle IAC-12-C1.5.5
Number of pages12
Publication statusPublished - 1 Oct 2012
Event63rd International Astronautical Congress - Naples, Italy
Duration: 1 Oct 20125 Oct 2012

Conference

Conference63rd International Astronautical Congress
CountryItaly
CityNaples
Period1/10/125/10/12

Fingerprint

Numerical analysis
Numerical Analysis
Orbits
Orbit
Eccentricity
Orbital transfer
Equate
Inclination
Inclined
Impulse
Earth (planet)
Trajectories
Weighting
Penalty
Trajectory

Keywords

  • Hohmann Spiral
  • numerical analysis
  • low-thrust trajectories design
  • geostationary transfer orbit

Cite this

Owens, S. R., & Macdonald, M. (2012). An extension and numerical analysis of the Hohmann spiral transfer. Article IAC-12-C1.5.5. Paper presented at 63rd International Astronautical Congress, Naples, Italy.
Owens, Steven Robert ; Macdonald, Malcolm. / An extension and numerical analysis of the Hohmann spiral transfer. Paper presented at 63rd International Astronautical Congress, Naples, Italy.12 p.
@conference{adf42c8c3d934effb4e3d362470b396a,
title = "An extension and numerical analysis of the Hohmann spiral transfer",
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 isderived 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.",
keywords = "Hohmann Spiral , numerical analysis, low-thrust trajectories design, geostationary transfer orbit",
author = "Owens, {Steven Robert} and Malcolm Macdonald",
year = "2012",
month = "10",
day = "1",
language = "English",
pages = "Article IAC--12--C1.5.5",
note = "63rd International Astronautical Congress ; Conference date: 01-10-2012 Through 05-10-2012",

}

Owens, SR & Macdonald, M 2012, 'An extension and numerical analysis of the Hohmann spiral transfer' Paper presented at 63rd International Astronautical Congress, Naples, Italy, 1/10/12 - 5/10/12, pp. Article IAC-12-C1.5.5.

An extension and numerical analysis of the Hohmann spiral transfer. / Owens, Steven Robert; Macdonald, Malcolm.

2012. Article IAC-12-C1.5.5 Paper presented at 63rd International Astronautical Congress, Naples, Italy.

Research output: Contribution to conferencePaper

TY - CONF

T1 - An extension and numerical analysis of the Hohmann spiral transfer

AU - Owens, Steven Robert

AU - Macdonald, Malcolm

PY - 2012/10/1

Y1 - 2012/10/1

N2 - 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 isderived 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.

AB - 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 isderived 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.

KW - Hohmann Spiral

KW - numerical analysis

KW - low-thrust trajectories design

KW - geostationary transfer orbit

UR - http://www.iac2012.org/

M3 - Paper

SP - Article IAC-12-C1.5.5

ER -

Owens SR, Macdonald M. An extension and numerical analysis of the Hohmann spiral transfer. 2012. Paper presented at 63rd International Astronautical Congress, Naples, Italy.