Existence of Resonance Stability of Triangular Equilibrium Points in Circular Case of the Planar Elliptical Restricted Three-Body Problem under the Oblate and Radiating Primaries around the Binary System
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-15
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper analyzes the existence of resonance stability of the triangular equilibrium points of the planar elliptical restricted three-body problem when both the primaries are oblate spheroid as well as the source of radiation under the particular case, when e=0.
We have derived Hamiltonian function describing the motion of infinitesimal mass in the neighborhood of the triangular equilibrium solutions taken as a convergent series.
Hamiltonian function for the system has been derived and also expanded in powers of the generalized components of momenta.
We have used canonical transformation to make the Hamiltonian function independent of true anomaly.
The most interesting and distinguishable results of this study are establishing the relation for determining the range of stability at and near the resonance ω2=1/2 around the binary system.
American Psychological Association (APA)
Narayan, A.& Shrivastava, Amit. 2014. Existence of Resonance Stability of Triangular Equilibrium Points in Circular Case of the Planar Elliptical Restricted Three-Body Problem under the Oblate and Radiating Primaries around the Binary System. Advances in Astronomy،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-460539
Modern Language Association (MLA)
Narayan, A.& Shrivastava, Amit. Existence of Resonance Stability of Triangular Equilibrium Points in Circular Case of the Planar Elliptical Restricted Three-Body Problem under the Oblate and Radiating Primaries around the Binary System. Advances in Astronomy No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-460539
American Medical Association (AMA)
Narayan, A.& Shrivastava, Amit. Existence of Resonance Stability of Triangular Equilibrium Points in Circular Case of the Planar Elliptical Restricted Three-Body Problem under the Oblate and Radiating Primaries around the Binary System. Advances in Astronomy. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-460539
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460539