2014
DOI: 10.1007/s10509-014-2212-4
|View full text |Cite
|
Sign up to set email alerts
|

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

Abstract: In this paper we deal with a modified version of the classical restricted three-body problem in which the additional effect of a three-body interaction is considered. This new force component appears in the potential of the classical problem as a new additional term. Our aim is to study the existence of all equilibrium points of this new modelproblem as well as to determine their number and location, in the full range of the parameters of the problem, using analytical techniques. It is found that, depending on… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2

Citation Types

0
2
0

Year Published

2016
2016
2023
2023

Publication Types

Select...
4
1

Relationship

0
5

Authors

Journals

citations
Cited by 11 publications
(2 citation statements)
references
References 14 publications
0
2
0
Order By: Relevance
“…Indeed, the restricted three-body problem has been a useful model in many fields, such as the evolution of binary stars (Eggleton 1983) and orbital calculations of planetary systems (Mikkola et al 1994;Namouni 1999). Moreover, modifications of the restricted three-body problem were employed to model various problems related to planetary systems (Chermnykh 1987;Papadakis 2004Papadakis , 2005aPapadakis , 2005bPerdios, Kalantonis & Douskos 2008;Kushvah 2008aKushvah , 2008bKushvah , 2009Kushvah , 2011aKushvah , 2011bDouskos 2011;Kushvah, Kishor & Dolas 2012;Kishor & Kushvah 2013;Douskos et al 2012;Douskos 2015).…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Indeed, the restricted three-body problem has been a useful model in many fields, such as the evolution of binary stars (Eggleton 1983) and orbital calculations of planetary systems (Mikkola et al 1994;Namouni 1999). Moreover, modifications of the restricted three-body problem were employed to model various problems related to planetary systems (Chermnykh 1987;Papadakis 2004Papadakis , 2005aPapadakis , 2005bPerdios, Kalantonis & Douskos 2008;Kushvah 2008aKushvah , 2008bKushvah , 2009Kushvah , 2011aKushvah , 2011bDouskos 2011;Kushvah, Kishor & Dolas 2012;Kishor & Kushvah 2013;Douskos et al 2012;Douskos 2015).…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, n-body simulations also play important roles in the study of galactic mergers (Wu & Jiang 2009, 2015. Milosavljevic & Merritt (2001) employed n-body simulations to study the orbital decay of black holes and the formation of SBBHs during galactic mergers.…”
Section: Introductionmentioning
confidence: 99%