NDLI: Generalized restricted circular three-body problem as a model for dynamics of binary asteroids

Content Provider	Springer Nature Link
Author	Beletsky, V. V.
Copyright Year	2007
Abstract	Exploration of the Solar System has recently revealed the existence of a large number of asteroids with satellites, which has stimulated interest in studying the dynamics of such systems. This paper is dedicated to the analysis of the relative motion of a binary asteroid. The conditions of existence of such a system (i.e., when its components do not run away) are derived in the Introduction. Then it is assumed that the satellite has no significant effect on the motion of the main asteroid, the latter being modeled as a dumbbell-like precessing solid body. The equations of motion of this system are a two-parameter generalization of the corresponding equations of the restricted circular three-body problem. It is demonstrated that in the system under consideration there exist steady-state motions in which the small asteroid is equidistant from attracting centers at the ends of the dumbbell (an analog to triangle libration points). The conditions of existence of such motions are derived, and the positions with respect to the dumbbell are analyzed in detail. Examination of the stability of the triangle libration points is reduced to investigation of a characteristic equation of the sixth degree. The stability conditions are derived in the case when the main asteroid executes near-planar motion.
Ending Page	416
Page Count	9
Starting Page	408
File Format	PDF
ISSN	00109525
e-ISSN	16083075
Journal	Cosmic Research
Issue Number	5
Volume Number	45
Language	English
Publisher	Nauka/Interperiodica
Publisher Date	2007-01-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Extraterrestrial Physics, Space Sciences Astrophysics Astronomy, Astrophysics and Cosmology
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Aerospace Engineering 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

Stability of triangle libration points in generalized restricted circular three-body problem

On a planar circular restricted charged three-body problem

Motion in the generalized restricted three-body problem

Families of periodic solutions in three-dimensional restricted three-body problem

A family of zero-velocity curves in the restricted three-body problem

Effect of three-body interaction on the number and location of equilibrium points of the restricted three-body problem

Orbit classification in the planar circular Pluto-Charon system

Analytical criteria of Hill stability in the elliptic restricted three body problem

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

Generalized restricted circular three-body problem as a model for dynamics of binary asteroids

Similar Documents

Stability of triangle libration points in generalized restricted circular three-body problem

On a planar circular restricted charged three-body problem

Motion in the generalized restricted three-body problem

Families of periodic solutions in three-dimensional restricted three-body problem

A family of zero-velocity curves in the restricted three-body problem

Effect of three-body interaction on the number and location of equilibrium points of the restricted three-body problem

Orbit classification in the planar circular Pluto-Charon system

Analytical criteria of Hill stability in the elliptic restricted three body problem

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

Generalized restricted circular three-body problem as a model for dynamics of binary asteroids