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Howell, K.C. (1983) Three-Dimensional, Periodic “Halo” Orbits in the Restricted Three-Body Problem. Ph.D. Dissertation, Department of Aeronautics and Astronautics, Stanford University, Stanford, California.

has been cited by the following article:

• TITLE: Oblateness Effect of Saturn on Halo Orbits of L1 and L2 in Saturn-Satellites Restricted Three-Body Problem

  AUTHORS: Nishanth Pushparaj, Ram Krishan Sharma

  KEYWORDS: Circular Restricted Three-Body Problem, Lagrangian Points, Halo Orbits, Oblateness, Saturn

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.6 No.4, November 9, 2016

  ABSTRACT: The Circular Restricted Three-Body Problem (CRTBP) with more massive primary as an oblate spheroid with its equatorial plane coincident with the plane of motion of the primaries is considered to generate the halo orbits around L1 and L2 for the seven satellites (Mimas, Enceladus, Tethys, Dione, Rhea, Titan and Iapetus) of Saturn in the frame work of CRTBP. It is found that the oblateness effect of Saturn on the halo orbits of the satellites closer to Saturn has significant effect compared to the satellites away from it. The halo orbits L1 and L2 are found to move towards Saturn with oblateness.