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Halo Orbits in the Photo-Gravitational Restricted Three-Body Problem
Department of Aerospace Engineering, Karunya Institute of Technology and Sciences, Coimbatore, India
Department of Aerospace Engineering, Karunya Institute of Technology and Sciences, Coimbatore, India
- 1 Department of Aerospace Engineering, Karunya Institute of Technology and Sciences, Coimbatore, India
- 2 Department of Aerospace Engineering, Karunya Institute of Technology and Sciences, Coimbatore, India
International Journal of Astronomy and Astrophysics·Volume 09 (2019)·Pages 274–291·Published 8 July 2019·DOI10.4236/ijaa.2019.93020
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Abstract
We study halo orbits in the circular restricted three-body problem (CRTBP) with both the primaries as the sources of radiation. The positioning of the triangular equilibrium points is discussed in a rotating coordinate system.
KeywordsHalo OrbitsCircular Restricted Three-Body ProblemLagrangian PointsRadiation PressureLindstedt-Poincare Method
- Farquhar, R. (1968) The Control and Use of Libration Point Satellites.
- Richardson, D. (1980) Analytical Construction of Periodic Orbits about the Collinear Points. Celestial Mechanics, 22, 241-253. https://doi.org/10.1007/BF01229511
- Euler, L. (1767) Themoturectilineorum corpore se mutuoattrahentium, Novi commentarii academium scientistum Petropolitanæ 11. Oeuvres, Seria Secunda tome XXV Commentaries Astronomy, 144-151, 286.
- Szebeheley, V. (1967) Theory of Orbits. Academic Press, New York.
- Dutt, P. and Sharma, R.K. (2011) Evolution of Periodic Orbits in the Sun-Mars System. Journal of Guidance, Control and Dynamics, 34, 635-644. https://doi.org/10.2514/1.51101
- Radzievskii, V. (1950) The Restricted Problem of Three Bodies Taking Account of Light Pressure. The Astronomical Journal, 27, 250-256.
- Bhatnagar, K.B. and Chawla, J.M. (1979) A Study of the Lagrangian Points in the Photo-Gravitational Restricted Three-Body Problem. Indian Journal of Pure and Applied Mathematics, 10, 1443-1451.
- Eapen, R.T. and Sharma, R.K. (2014) A Study of Halo Orbits at the Sun-Mars L1 Lagrangian Point in the Photogravitational Restricted Three-Body Problem. Springer, Berlin, 437-441. https://doi.org/10.1007/s10509-014-1951-6
- Sharma, R.K. and Rao, P.S. (1975) Collinear Equilibria and Their Characteristics Exponents in the Restricted Three-Body Problem When the Primaries Are Oblate Spheroids. Celestial Mechanics, 12, 189-201. https://doi.org/10.1007/BF01230211
- Simmons, J.F.L., Mcdonald, A.J.C. and Brown, J.C. (1985) The 3-Body Problem with Radiation Pressure. Celestial Mechanics, 35, 145-187. https://doi.org/10.1007/BF01227667
- Nishanth, P. and Sharma, R.K. (2017) Mars Interplanetary Trajectory Design via Lagrangian Points in the Restricted Three-Body Problem. Technical Report, ISRO.
- Koon, W.S., Lo, M.W. and Marsden, J.E. (2011) Dynamical Systems, the Three-Body Problem and Mission Space Design. Springer, Berlin.
- Thurman, R. and Worfolk, P.A. (1996) The Geometry of Halo Orbits in the Circular Restricted Three Body Problems. Tech. Rep. GCG 95, Univ. Minnesota, Minneapolis.
- Chidambararaj, P. and Sharma, R.K. (2016) Halo Orbits around Sun-Earth L1 in Photogravitational Restricted Three-Body Problem with Oblateness of Smaller Primary. International Journal of Astronomy and Astrophysics, 6, 293-311. https://doi.org/10.4236/ijaa.2016.63025