Central Configurations and Action Minimizing Orbits in Kite Four-Body Problem
Joint Authors
Benhammouda, B.
Mansur, A.
Shoaib, M.
Szücs-Csillik, I.
Offin, D.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In the current article, we study the kite four-body problems with the goal of identifying global regions in the mass parameter space which admits a corresponding central configuration of the four masses.
We consider two different types of symmetrical configurations.
In each of the two cases, the existence of a continuous family of central configurations for positive masses is shown.
We address the dynamical aspect of periodic solutions in the settings considered and show that the minimizers of the classical action functional restricted to the homographic solutions are the Keplerian elliptical solutions.
Finally, we provide numerical explorations via Poincaré cross-sections, to show the existence of periodic and quasiperiodic solutions within the broader dynamical context of the four-body problem.
American Psychological Association (APA)
Benhammouda, B.& Mansur, A.& Shoaib, M.& Szücs-Csillik, I.& Offin, D.. 2020. Central Configurations and Action Minimizing Orbits in Kite Four-Body Problem. Advances in Astronomy،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-986210
Modern Language Association (MLA)
Benhammouda, B.…[et al.]. Central Configurations and Action Minimizing Orbits in Kite Four-Body Problem. Advances in Astronomy No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-986210
American Medical Association (AMA)
Benhammouda, B.& Mansur, A.& Shoaib, M.& Szücs-Csillik, I.& Offin, D.. Central Configurations and Action Minimizing Orbits in Kite Four-Body Problem. Advances in Astronomy. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-986210
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-986210