NDLI: On the R4BP when Third Primary is an Ellipsoid

Content Provider	Springer Nature Link
Author	Asique, Md Chand Hassan, M. R. Prasad, Umakant Suraj, Md Sanam
Copyright Year	2016
Abstract	The present paper deals with the restricted four-body problem (R4BP), when the third primary placed at the triangular libration point of the restricted three-body problem is an ellipsoid. The third primary m $_{3}$ is not influencing the motion of the dominating primaries m $_{1}$ and m $_{2}$. We have studied the motion of m $_{4}$, moving under the influence of the three primaries m $_{ i }$, i = 1, 2, 3, but the motion of the primaries is not being influenced by infinitesimal mass m $_{4}$. Further, we have developed the equations of motion of infinitesimal mass m $_{4}$ which involves elliptic integrals and shows the existence and locations of equilibrium points. We have also discussed the zero velocity curves(ZVCs) for various value of Jacobian constant.
Starting Page	231
Ending Page	250
Page Count	20
File Format	PDF
ISSN	00219142
Journal	The Journal of the Astronautical Sciences
Volume Number	64
Issue Number	3
e-ISSN	21950571
Language	English
Publisher	Springer US
Publisher Date	2016-12-28
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	R4BP Libration points ZVCs Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) Mathematical Applications in the Physical Sciences Ellipsoid Aerospace Technology and Astronautics
Content Type	Text
Resource Type	Article
Subject	Aerospace Engineering 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
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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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