NDLI: Analysis of periodic orbits in the Saturn-Titan system using the method of Poincare section surfaces

Content Provider	Springer Nature Link
Author	Safiya Beevi, A. Sharma, R. K.
Copyright Year	2011
Abstract	We explore the periodic orbits and the regions of quasi-periodic motion around both the primaries in the Saturn-Titan system in the framework of planar circular restricted three-body problem. The location, nature and size of periodic and quasi-periodic orbits are studied using the numerical technique of Poincare surface of sections. The maximum amplitude of oscillations about the periodic orbits is determined and is used as a parameter to measure the degree of stability in the phase space for such orbits. It is found that the orbits around Saturn remain around it and their stability increases with the increase in the value of Jacobi constant C. The orbits around Titan move towards it with the increase in C. At C=3.1, the pericenter and apocenter are 358.2 and 358.5 km, respectively. No periodic or quasi-periodic orbits could be found by the present method around the collinear Lagrangian point L 1 (0.9569373834…).
Starting Page	37
Ending Page	48
Page Count	12
File Format	PDF
ISSN	0004640X
Journal	Astrophysics and Space Science
Volume Number	333
Issue Number	1
e-ISSN	1572946X
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-02-11
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Restricted three-body problem Saturn-Titan system Poincare surface of section Stability regions Periodic orbits Quasi-periodic orbits Astronomy, Observations and Techniques
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Space and Planetary Science

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