NDLI: A natural autonomous force added in the restricted problem and explored via stability analysis and discrete variational mechanics

Content Provider	Springer Nature Link
Author	Bosanac, Natasha Howell, Kathleen C. Fischbach, Ephraim
Copyright Year	2016
Abstract	With improved observational capabilities, an increasing number of binary systems have been discovered both within the solar system and beyond. By characterizing the gravitational environment near a binary star, for example, potential motions of a nearby exoplanet may be explored. The path of this comparatively small body is influenced by an underlying dynamical structure of periodic orbits which can attract, bound or repel trajectories in their vicinity. In this investigation, stability analysis is employed to examine the evolution of selected families of periodic orbits near large mass ratio binary systems in two dynamical models: the circular restricted three-body problem and an expanded model that incorporates an additional autonomous force to examine theories for three-body gravitational interactions. Discrete variational mechanics is employed to determine the natural parameters corresponding to the existence of a given orbit geometry, facilitating exploration of the effect of an additional three-body interaction on nearby periodic orbits and the conditions for reproducibility in the natural gravitational environment. Any unique effects of the additional autonomous force contribution may impact the potential motion of an exoplanet as it orbits a binary star system.
Starting Page	1
Ending Page	18
Page Count	18
File Format	PDF
ISSN	0004640X
Journal	Astrophysics and Space Science
Volume Number	361
Issue Number	2
e-ISSN	1572946X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-01-06
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Circular restricted three-body problem Three-body interaction Stability analysis Periodic orbits Binary system Discrete variational mechanics Astrophysics and Astroparticles Astronomy, Observations and Techniques Cosmology Extraterrestrial Physics, Space Sciences Astrobiology
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Space and Planetary Science

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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