NDLI: Combined effect of oblateness, radiation and a circular cluster of material points on the stability of triangular liberation points in the R3BP

Content Provider	Springer Nature Link
Author	Singh, Jagadish Taura, Joel John
Copyright Year	2014
Abstract	This paper studies the motion of an infinitesimal mass in the framework of the restricted three-body problem (R3BP) under the assumption that the primaries of the system are radiating-oblate spheroids, enclosed by a circular cluster of material points. It examines the effects of radiation and oblateness up to J 4 of the primaries and the potential created by the circular cluster, on the linear stability of the liberation locations of the infinitesimal mass. The liberation points are found to be stable for 0<μ<μ c and unstable for $\mu_{c}\le\mu\le\frac{1}{2}$ , where μ c is the critical mass value depending on terms which involve parameters that characterize the oblateness, radiation forces and the circular cluster of material points. The oblateness up to J 4 of the primaries and the gravitational potential from the circular cluster of material points have stabilizing propensities, while the radiation of the primaries and the oblateness up to J 2 of the primaries have destabilizing tendencies. The combined effect of these perturbations on the stability of the triangular liberation points is that, it has stabilizing propensity.
Starting Page	499
Ending Page	506
Page Count	8
File Format	PDF
ISSN	0004640X
Journal	Astrophysics and Space Science
Volume Number	351
Issue Number	2
e-ISSN	1572946X
Language	English
Publisher	Springer Netherlands
Publisher Date	2014-03-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Restricted three-body problem Liberation points Radiation pressure Zonal harmonic effect Potential from the circular cluster of material points 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

Sl.	Authority	Responsibilities	Communication Details
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
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Effects of zonal harmonics and a circular cluster of material points on the stability of triangular equilibrium points in the R3BP

Poynting–Robertson (P–R) drag and oblateness effects on motion around the triangular equilibrium points in the photogravitational R3BP

Stability of equilibrium points in a CR3BP with oblate bodies enclosed by a circular cluster of material points

On the stability of triangular points in the elliptic R3BP under radiating and oblate primaries

Robe’s circular restricted three-body problem with zonal harmonics

Stability of the Triangular Points Under Combined Effects of Radiation and Oblateness in the Restricted Three-Body Problem

Instability of triangular libration points in the perturbed photogravitational R3BP with Poynting-Robertson (P-R) drag

The motion around the libration points in the restricted three-body problem with the effect of radiation and oblateness

The influence of triaxiality and oblateness on the triangular points of double pulsars in the ER3BP

Combined effect of oblateness, radiation and a circular cluster of material points on the stability of triangular liberation points in the R3BP

Similar Documents

Effects of zonal harmonics and a circular cluster of material points on the stability of triangular equilibrium points in the R3BP

Poynting–Robertson (P–R) drag and oblateness effects on motion around the triangular equilibrium points in the photogravitational R3BP

Stability of equilibrium points in a CR3BP with oblate bodies enclosed by a circular cluster of material points

On the stability of triangular points in the elliptic R3BP under radiating and oblate primaries

Robe’s circular restricted three-body problem with zonal harmonics

Stability of the Triangular Points Under Combined Effects of Radiation and Oblateness in the Restricted Three-Body Problem

Instability of triangular libration points in the perturbed photogravitational R3BP with Poynting-Robertson (P-R) drag

The motion around the libration points in the restricted three-body problem with the effect of radiation and oblateness

The influence of triaxiality and oblateness on the triangular points of double pulsars in the ER3BP

Combined effect of oblateness, radiation and a circular cluster of material points on the stability of triangular liberation points in the R3BP