Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Analytical theories for near coplanar and polar circumbinary orbits

Li, Daohai LU orcid ; Zhou, Ji Lin and Zhang, Hui LU (2014) In Monthly Notices of the Royal Astronomical Society 437(4). p.3832-3841
Abstract

The recently discovered Kepler circumbinary systems and the circumbinary polar-ring debris disc in the 99 Herculis system call for the study of circumbinary orbits. As an approximation, it is advisable to investigate the problem with the assumption that the outer body is massless. In such a scheme, we briefly summarize the main characteristics of the evolution of the orbits and give the general solutions to some secular orbital elements under the quadrupole formalism and then, using the solution, explore the octupole Hamiltonian, which allows us to reveal the evolution of the eccentricity of the outer orbit. By doing so, we have discovered that the evolution of slightly inclined orbits does not deviate much from coplanar ones. For the... (More)

The recently discovered Kepler circumbinary systems and the circumbinary polar-ring debris disc in the 99 Herculis system call for the study of circumbinary orbits. As an approximation, it is advisable to investigate the problem with the assumption that the outer body is massless. In such a scheme, we briefly summarize the main characteristics of the evolution of the orbits and give the general solutions to some secular orbital elements under the quadrupole formalism and then, using the solution, explore the octupole Hamiltonian, which allows us to reveal the evolution of the eccentricity of the outer orbit. By doing so, we have discovered that the evolution of slightly inclined orbits does not deviate much from coplanar ones. For the near polar configurations, the inner binary can significantly excite the eccentricity of such orbits (in some cases to about 0.3); this may influence the stability of orbits near the binary.

(Less)
Please use this url to cite or link to this publication:
author
; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Analytical-celestial mechanics-binaries, General-planetary systems, Methods
in
Monthly Notices of the Royal Astronomical Society
volume
437
issue
4
pages
10 pages
publisher
Oxford University Press
external identifiers
  • scopus:84891356453
ISSN
0035-8711
DOI
10.1093/mnras/stt2181
language
English
LU publication?
no
id
1908aff2-e18a-4201-a805-733ce8fda7fb
date added to LUP
2019-04-29 13:31:45
date last changed
2022-01-31 19:13:06
@article{1908aff2-e18a-4201-a805-733ce8fda7fb,
  abstract     = {{<p>The recently discovered Kepler circumbinary systems and the circumbinary polar-ring debris disc in the 99 Herculis system call for the study of circumbinary orbits. As an approximation, it is advisable to investigate the problem with the assumption that the outer body is massless. In such a scheme, we briefly summarize the main characteristics of the evolution of the orbits and give the general solutions to some secular orbital elements under the quadrupole formalism and then, using the solution, explore the octupole Hamiltonian, which allows us to reveal the evolution of the eccentricity of the outer orbit. By doing so, we have discovered that the evolution of slightly inclined orbits does not deviate much from coplanar ones. For the near polar configurations, the inner binary can significantly excite the eccentricity of such orbits (in some cases to about 0.3); this may influence the stability of orbits near the binary.</p>}},
  author       = {{Li, Daohai and Zhou, Ji Lin and Zhang, Hui}},
  issn         = {{0035-8711}},
  keywords     = {{Analytical-celestial mechanics-binaries; General-planetary systems; Methods}},
  language     = {{eng}},
  month        = {{02}},
  number       = {{4}},
  pages        = {{3832--3841}},
  publisher    = {{Oxford University Press}},
  series       = {{Monthly Notices of the Royal Astronomical Society}},
  title        = {{Analytical theories for near coplanar and polar circumbinary orbits}},
  url          = {{http://dx.doi.org/10.1093/mnras/stt2181}},
  doi          = {{10.1093/mnras/stt2181}},
  volume       = {{437}},
  year         = {{2014}},
}