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Astrodynamics 2021, 5(2): 91-108 https://doi.org/10.1007/s42064-020-0085-6
Research Article | Issue | Published: 07 September 2020

Regularized luni-solar gravity dynamics on resident space objects

Show Author's Information Harishkumar Sellamuthu1( ),  Ram Krishan Sharma2
Agnikul Cosmos Private Limited, Indian Institute of Technology Madras, Chennai 600036, India
Department of Aerospace Engineering, Karunya Institute of Technology and Sciences, Coimbatore 641114, India
Keywords:
regularization, luni-solar perturbations, Kustaanheimo-Stiefel (KS) transformation
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Sellamuthu H, Sharma RK. Regularized luni-solar gravity dynamics on resident space objects. Astrodynamics, 2021, 5(2): 91-108. https://doi.org/10.1007/s42064-020-0085-6
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Abstract Full text About this article

Resident space object population in highly elliptical high perigee altitude ( > 600 km) orbits is significantly affected by luni-solar gravity. Using regularization, an analytical orbit theory with luni-solar gravity effects as third-body perturbations in terms of Kustaanheimo-Stiefel regular elements is developed. Numerical tests with different cases resulted in good accuracy for both short- and long-term orbit propagations. It is observed that the luni-solar perturbations affect the accuracy of the analytical solution seasonally. The analytical theory is tested with the observed orbital parameters of the few objects in highly elliptical orbits. The analytical evolution of osculating perigee altitude is found to be concurrent with observed data. Solar perturbation, when compared with lunar perturbation, is established to be dominant over such orbits.


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About this article

Regularized luni-solar gravity dynamics on resident space objects

Show Author's information Harishkumar Sellamuthu1( ), Ram Krishan Sharma2
Agnikul Cosmos Private Limited, Indian Institute of Technology Madras, Chennai 600036, India
Department of Aerospace Engineering, Karunya Institute of Technology and Sciences, Coimbatore 641114, India

Abstract

Resident space object population in highly elliptical high perigee altitude ( > 600 km) orbits is significantly affected by luni-solar gravity. Using regularization, an analytical orbit theory with luni-solar gravity effects as third-body perturbations in terms of Kustaanheimo-Stiefel regular elements is developed. Numerical tests with different cases resulted in good accuracy for both short- and long-term orbit propagations. It is observed that the luni-solar perturbations affect the accuracy of the analytical solution seasonally. The analytical theory is tested with the observed orbital parameters of the few objects in highly elliptical orbits. The analytical evolution of osculating perigee altitude is found to be concurrent with observed data. Solar perturbation, when compared with lunar perturbation, is established to be dominant over such orbits.

Keywords: regularization, luni-solar perturbations, Kustaanheimo-Stiefel (KS) transformation

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Publication history
Copyright
Acknowledgements

Publication history

Received: 18 December 2019
Accepted: 09 May 2020
Published: 07 September 2020
Issue date: June 2021

Copyright

© Tsinghua University Press 2020

Acknowledgements

The authors gratefully acknowledge the support received by grant SR/S4/MS: 801/12 from Department of Science and Technology-Science and Engineering Research Board (DST-SERB), India.

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