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Relativistic model of the Lidov-Kozai resonance in binaries

Published online by Cambridge University Press:  19 April 2010

K. Goździewski ,
A. Niedzielski ,
J. Schneider ,
C. Migaszewski  and
K. Goździewski
C. Migaszewski*
Affiliation:
Toruń Centre for Astronomy, Nicolaus Copernicus University, Gagarin Str. 11, 87-100 Toruń, Poland
K. Goździewski
Affiliation:
Toruń Centre for Astronomy, Nicolaus Copernicus University, Gagarin Str. 11, 87-100 Toruń, Poland
*
c.migaszewski@astri.umk.pl ; k.gozdziewski@astri.umk.pl
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Abstract

We consider the hierarchical three-body problem, with a binary and a planet-mass object. We investigate the effect of general relativity (GR) corrections to the Newtonian interactions. We focus on the Lidov-Kozai resonance, and the secular dynamics are analyzed over wide ranges of the semi-major axes and masses. We found regions in the parameter space where the GR corrections may be important for the long-term dynamics. We try to constrain the inclinations of putative Jovian planets in the recently announced binary systems of HD 4113 and HD 156846.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 42: Extrasolar Planets in Multi-Body Systems: Theory and Observations , 2010 , pp. 385 - 391
Copyright
© EAS, EDP Sciences, 2010

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References

Fabrycky, D., & Tremaine, S., 2007, ApJ, 669, 1298 CrossRef
Féjoz, J., 2002, Celest. Mech. Dyn. Astron., 84, 159 CrossRef
Ford, E.B., Kozinsky, B., & Rasio, F.A., 2000, ApJ, 535, 385 CrossRef
Holman, M., Touma, J., & Tremaine, S., 1997, Nature, 386, 254 CrossRef
Innanen, K.A., Zheng, J.Q., Mikkola, S., & Valtonen, M.J., 1997, AJ, 113, 1915 CrossRef
Kozai, Y., 1962, AJ, 67, 579 CrossRef
Krasinsky, G.A., 1972, Celest. Mech., 6, 60 CrossRef
Krasinsky, G.A., 1974, ed. Y. Kozai, Stability of the Solar System and of Small Stellar Systems, IAU Symp., 62, 95
Laskar, J., & Robutel, P., 1995, Celest. Mech. Dyn. Astron., 62, 193 CrossRef
Libert, A.-S., & Henrard, J., 2007, Icarus, 191, 469 CrossRef
Lidov, M.L., & Ziglin, S.L., 1974, Celest. Mech., 9, 151 CrossRef
Michtchenko, T.A., Ferraz-Mello, S., & Beaugé, C., 2006, Icarus, 181, 555 CrossRef
Michtchenko, T.A., & Malhotra, R., 2004, Icarus, 168, 237 CrossRef
Migaszewski, C., & Goździewski, K., 2008, MNRAS, 388, 789 CrossRef
Migaszewski, C., & Goździewski, K., 2009a, MNRAS, 395, 1777 CrossRef
Migaszewski, C., & Goździewski, K., 2009b, MNRAS, 392, 2 CrossRef
Richardson, D.L., & Kelly, T.J., 1988, Celest. Mech., 43, 193 CrossRef
Tamuz, O., Ségransan, D., Udry, S., et al., 2008, A&A, 480, L33