Abstract
Solar gravity propelled highly elliptical resident Earth orbits have been utilized to improve lunar mission performance. A regularized orbit propagator has been used to perform linear search for initial conditions that produce energy-saving pre-trans-lunar injection exo-atmospheric highly elliptical orbits. Additional propellant mass margin or smaller piggyback payloads to the Moon/high altitude orbits may be enabled by such transfers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Sharma RK, Bandyopadhyay P, Adimurthy V (2004) Consideration of lifetime limitation for spent stages in GTO. Adv Space Res 34(5):1227–1232. https://doi.org/10.1016/j.asr.2003.10.044
Wang Y, Gurfil P (2016) Dynamical modeling and lifetime analysis of geostationary transfer orbits. Acta Astronaut 128:262–276. https://doi.org/10.1016/j.actaastro.2016.06.050
Wang Y, Gurfil P (2017) The role of solar apsidal resonance in the evolution of geostationary transfer orbits. Adv Space Res 59(8):2101–2116. https://doi.org/10.1016/j.asr.2017.01.038
Koon WS, Lo MW, Marsden JE, Ross SD (2001) Low energy transfer to the Moon. Celest Mech Dyn Astron 81(1):63–73. https://doi.org/10.1023/A:1013359120468
Hatch SJ, Roncoli RB, Sweetser TH (2010) GRAIL trajectory design: lunar orbit insertion through science. In: AIAA/AAS astrodynamics specialist conference, Toronto, Canada
Adimurthy V, Ramanan RV, Tandon SR, Ravikumar C (2005) Launch strategy for Indian lunar mission and precision injection to the Moon using genetic algorithm. J Earth Syst Sci 114(6):711–716. https://doi.org/10.1007/BF02715954
Ramanan RV, Adimurthy V (2006) Precise lunar gravity assist transfers to geostationary orbits. J Guid Control Dyn 29(2):500–502. https://doi.org/10.2514/1.17469
Kustaanheimo P, Stiefel EL (1965) Perturbation theory of Kepler motion based on Spinor regularization. J Reine Angew Math 218:204–219. https://doi.org/10.1515/crll.1965.218.204
Stiefel EL, Scheifele G (1971) Linear and regular celestial mechanics. Springer, Berlin
Sundman KF (1913) Mémoire sur le problème des trois corps. Acta Math 36(1):105–179. https://doi.org/10.1007/BF02422379
Blanco-Muriel M, Alarcón-Padilla DC, López-Moratalla T, Lara-Coira M (2001) Computing the solar vector. Sol Energy 70(5):431–441. https://doi.org/10.1016/S0038-092X(00)00156-0
Simpson DG (1999) An alternative lunar ephemeris model for on-board flight software use. In: NASA/GSFC flight mechanics symposium, pp 175–184
Acknowledgements
We would like to extend our gratitude to Padma Shri Dr. V. Adimurthy for the fruitful discussion. We extend our thanks to the IBM Centre of Excellence for Big Data Software at Karunya Institute of Technology and Sciences. The first author acknowledges Dr. Moriba Jah and the Texas Advanced Computing Centre at UTAustin.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Sellamuthu, H., Arumugam, S., Sharma, R.K. (2020). Sun Gravity-Assist to Trans-Lunar Injection Orbits. In: Maity, D., Siddheshwar, P., Saha, S. (eds) Advances in Fluid Mechanics and Solid Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0772-4_1
Download citation
DOI: https://doi.org/10.1007/978-981-15-0772-4_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-0771-7
Online ISBN: 978-981-15-0772-4
eBook Packages: EngineeringEngineering (R0)