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Mathematical Procedures for the Non-Coplanar Tangential Transfers between Circular Orbits

DOI: 10.4236/oalib.1107101, PP. 1-12

Subject Areas: Applied Statistical Mathematics, Classical Mechanics

Keywords: Orbital Transfer, Hohmann Transfer, Bi-Elliptic Transfer, Non-Coplanar Maneuver

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Abstract

To transfer a satellite or a spacecraft from a low parking orbit to another orbit requires one of the many orbital transfers. These orbital transfers need to determine some orbital elements of the initial and final orbits as perigee and apogee distances. The transfers compete to achieve the transition with minimal consumption of energy, transfer time, as well as the highest accuracy of transition. In the present research, certain mathematical procedures implementable with the help of computers will be employed to investigate the two important non-coplanar tangential transfers between circular orbits called the Hohmann and bi-elliptic transfers. Also, a comparative study between Hohmann and bi-elliptic transfers will be established. At the end of present study, we will be able to determine the lowest value of the velocity change and the best transfer between the Hohmann and bi-elliptic transfers with minimal fuel consumption.

Cite this paper

Alqarni, A. A. (2021). Mathematical Procedures for the Non-Coplanar Tangential Transfers between Circular Orbits. Open Access Library Journal, 8, e7101. doi: http://dx.doi.org/10.4236/oalib.1107101.

References

[1]  Goddard, R.H. (1919) A Method of Reaching Extreme Altitudes. Smithsonian Inst Publ Misc Collect. https://doi.org/10.5479/sil.918318.39088014683783
[2]  Hoelker, R.F. and Silber, R. (1959) The Bi-Elliptic Transfer between Circular Co-Planar Orbits, Alabama. Army Ballistic Missile Agency, Redstone Arsenal, (DA Tech Memo 2-59).
[3]  Hohmann, W. (1960) The Attainability of Heavenly Bodies. NASA, Washington.
[4]  Walter, U. (2012) Astronautics: The Physics of Space Flight. Wiley-VCH Verlag GmbH & Co. KGA.
[5]  Chobotov, V. (2002) Orbital Mechanics, Reston, Virginia. American Institute of Aeronautics and Astronautics, Inc., USA.
[6]  Vallado, D.A. (2007) Fundamentals of Astrodynamics and Applications. 3rd Edition, Springer, Berling.
[7]  Curtis, H.D. (2014) Orbital Mechanics for Engineering Students. 3rd Edition, OXF, UK. https://doi.org/10.1016/B978-0-08-097747-8.00006-2
[8]  Mayada, J.H., Wafaa, A.Z. and Ahmed, K.I. (2015) Coplanar Maneuvers Transfer for Mission Design with Lowest Δv Using Series Solution.
[9]  Kiriliuk, E.V. and Zaborsky, S.A. (2017) Optimal Bi-Elliptic Transfer between Two Generic Coplanar Elliptical Orbits. Acta Astronautica, 139, 321-324. https://doi.org/10.1016/j.actaastro.2017.07.006

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