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Equilibrium Points and Related Periodic Motions in the Restricted Three-Body Problem with Angular Velocity and Radiation Effects
Joint Authors
Perdios, E. A.
Kalantonis, V. S.
Perdiou, A. E.
Nikaki, A. A.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-06
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The paper deals with a modification of the restricted three-body problem in which the angular velocity variation is considered in the case where the primaries are sources of radiation.
In particular, the existence and stability of its equilibrium points in the plane of motion of the primaries are studied.
We find that this problem admits the well-known five planar equilibria of the classical problem with the difference that the corresponding collinear points may be stable depending on the parameters of the problem.
For all planar equilibria, sufficient parametric conditions for their stability have been established which are used for the numerical determination of the stability regions in various parametric planes.
Also, for certain values of the parameters of the problem for which the equilibrium points are stable, the short and long period families have been computed.
To do so, semianalytical expressions have been found for the determination of appropriate initial conditions.
Special attention has been given to the continuation of the long period family, in the case of the classical restricted three-body problem, where we show numerically that periodic orbits of the short period family, which are bifurcation points with the long period family, are connected through the characteristic curve of the long period family.
American Psychological Association (APA)
Perdios, E. A.& Kalantonis, V. S.& Perdiou, A. E.& Nikaki, A. A.. 2015. Equilibrium Points and Related Periodic Motions in the Restricted Three-Body Problem with Angular Velocity and Radiation Effects. Advances in Astronomy،Vol. 2015, no. 2015, pp.1-21.
https://search.emarefa.net/detail/BIM-1051970
Modern Language Association (MLA)
Perdios, E. A.…[et al.]. Equilibrium Points and Related Periodic Motions in the Restricted Three-Body Problem with Angular Velocity and Radiation Effects. Advances in Astronomy No. 2015 (2015), pp.1-21.
https://search.emarefa.net/detail/BIM-1051970
American Medical Association (AMA)
Perdios, E. A.& Kalantonis, V. S.& Perdiou, A. E.& Nikaki, A. A.. Equilibrium Points and Related Periodic Motions in the Restricted Three-Body Problem with Angular Velocity and Radiation Effects. Advances in Astronomy. 2015. Vol. 2015, no. 2015, pp.1-21.
https://search.emarefa.net/detail/BIM-1051970
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051970