Secular dynamics of gravitationally bound pair of binaries
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10331713" target="_blank" >RIV/00216208:11320/16:10331713 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1093/mnras/stw1596" target="_blank" >http://dx.doi.org/10.1093/mnras/stw1596</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/mnras/stw1596" target="_blank" >10.1093/mnras/stw1596</a>
Alternative languages
Result language
angličtina
Original language name
Secular dynamics of gravitationally bound pair of binaries
Original language description
Equations of secular dynamics for stellar quadruple systems in 2+2 hierarchy are formulated. Non-singular, angular momentum and Laplace vector variables are used to describe orbital evolution of both inner and outer orbits. Given a typical wide separation of the binaries in these systems, gravitational interactions are truncated at the octupole approximation. Secular equations are propagated numerically and the results compared to the complete numerical integration on a long time-scale. Our basic formulation uses a point-mass model, but we also extend it by including the simplest description of the quadrupole interaction among the components of close (inner) binaries. Evolution of orbital planes of the binaries is discussed analytically in a simplified model and numerically using a more complete model. Maximum angular separation of the two orbital planes reaches only 20-40 per cent of the simple geometric maximum value for low-eccentricity cases with small inclination with respect to the orbital plane of the relative motion. This may be a pre-requisite for occurrence of quadruple systems with both binaries showing eclipses. However, statistical occurrence of eclipses at any time for a synthetic population of quadruples with initially isotropic distribution of orbital planes is about equal to the model where the orbits do not evolve due to gravitational interactions. We also show that the model is potentially suitable for long-term studies of the initial evolutionary tracks of the 2 + 2 quadruple systems.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BN - Astronomy and celestial mechanics, astrophysics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Monthly Notices of the Royal Astronomical Society
ISSN
0035-8711
e-ISSN
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Volume of the periodical
461
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
3964-3975
UT code for WoS article
000383514900046
EID of the result in the Scopus database
2-s2.0-84988651230