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In radial velocity observations, a pair of extrasolar planets near a 2:1 orbital resonance can be misinterpreted as a single eccentric planet, if data are sparse and measurement precision insufficient to distinguish between these models. We…

Solar and Stellar Astrophysics · Physics 2015-05-27 Martin Kürster , Trifon Trifonov , Sabine Reffert , Nadiia M. Kostogryz , Florian Rodler

To date, more than 100 giant Jupiter-like planets have been discovered in Doppler surveys of solar-type stars. In this paper, we perform simulations to investigate three systems: GJ 876, HD 82943 and 55 Cnc. The former two systems both have…

Astrophysics · Physics 2007-05-23 Jianghui Ji , Lin Liu , H. Kinoshita , Guangyu Li , H. Nakai

Close-in planetary systems detected by the Kepler mission present an excess of periods ratio that are just slightly larger than some low order resonant values. This feature occurs naturally when resonant couples undergo dissipation that…

Earth and Planetary Astrophysics · Physics 2015-06-05 J. -B. Delisle , J. Laskar , A. C. M. Correia , G. Boué

We investigate the dynamics of a nonzero mass, circular orbit planet around an eccentric orbit binary for various values of the binary eccentricity, binary mass fraction, planet mass, and planet semi--major axis by means of numerical…

Earth and Planetary Astrophysics · Physics 2019-11-06 Cheng Chen , Alessia Franchini , Stephen H. Lubow , Rebecca G. Martin

Compact objects evolving in an astrophysical environment experience a gravitational drag force known as dynamical friction. We present a multipole-frequency decomposition to evaluate the orbit-averaged energy and angular momentum…

Astrophysics of Galaxies · Physics 2025-09-22 Gali Eytan , Vincent Desjacques , Yonadav Barry Ginat

We investigate the dynamics of putative Earth-mass planets in the habitable zone (HZ) of the extrasolar planetary system OGLE-2006-BLG-109L, a close analog of the Solar system. Our work is inspired by work of Malhotra and Minton (2008).…

Astrophysics · Physics 2009-11-13 Cezary Migaszewski , Krzysztof Gozdziewski , Tobias C. Hinse

We present an extended version of the Constant Time Lag analytical approach for the tidal evolution of circumbinary planets introduced in our previous work. The model is self-consistent, in the sense that all tidal interactions between…

Earth and Planetary Astrophysics · Physics 2020-01-29 F. A. Zoppetti , A. M. Leiva , C. Beaugé

We report extensive radial-velocity measurements of the two giant components of the detached, 104-day period binary system of Capella. Our highly accurate three-dimensional orbital solution based on all existing spectroscopic and…

Solar and Stellar Astrophysics · Physics 2009-07-22 Guillermo Torres , Antonio Claret , Patrick A. Young

Diversity in the properties of exoplanetary systems arises, in part, from dynamical evolution that occurs after planet formation. We use numerical integrations to explore the relative role of secular and resonant dynamics in the long-term…

Earth and Planetary Astrophysics · Physics 2022-03-23 Matthew M. Murphy , Philip J. Armitage

(abridged) We consider a secular orbital evolution of a supermassive binary black hole (SBBH) with unequal masses $M_p$ and $M_s < M_p$ in a central part of a non-spherical nuclear star cluster (NSC). When the mass of NSC inside the orbit…

Astrophysics of Galaxies · Physics 2025-07-17 Pavel B. Ivanov , Alexander G. Polnarev

A very recent and meticulous timing effort suggests that an eccentric millisecond pulsar (eMSP) binary, namely PSR J1618-3921, is likely to be a part of a hierarchical triple (HT) system with a $0.6M_{\odot}$ companion in a $\sim 300$yr…

Astrophysics of Galaxies · Physics 2025-12-03 Adya Shukla , A. Gopakumar , Paramasivan Arumugam

A model that computes the secular evolution of a gravitating disk-planet system is developed. The disk is treated as a set of gravitating rings, with the rings'/planets' time-evolution governed by the classical Laplace-Lagrange solution for…

Astrophysics · Physics 2009-11-07 Joseph M. Hahn

In this work, we search for observational evidence of higher-order secular perturbations in three eclipsing binaries. These are slightly eccentric binaries, and they form the inner pairs of tight, compact, hierarchical triple star systems.…

Solar and Stellar Astrophysics · Physics 2023-11-14 Tamás Borkovits , Tibor Mitnyan

Many recent observational studies have concluded that planetary systems commonly exist in multiple-star systems. At least ~20% of the known extrasolar planetary systems are associated with one or more stellar companions. The orbits of…

Astrophysics · Physics 2009-11-13 Genya Takeda , Ryosuke Kita , Frederic A. Rasio

The Kepler Mission has detected dozens of compact planetary systems with more than four transiting planets. This sample provides a collection of close-packed planetary systems with relatively little spread in the inclination angles of the…

Earth and Planetary Astrophysics · Physics 2015-12-02 Juliette C. Becker , Fred C. Adams

We present an analytical and numerical study of the orbital migration and resonance capture of fictitious two-planet systems with masses in the super-Earth range undergoing Type-I migration. We find that, depending on the flare index and…

Earth and Planetary Astrophysics · Physics 2017-06-28 X. S. Ramos , C. Charalambous , P. Benítez-Llambay , C. Beaugé

The recently discovered planetary system HD45364 which consists of a Jupiter and Saturn mass planet is very likely in a 3:2 mean motion resonance. The standard scenario to form planetary commensurabilities is convergent migration of two…

Earth and Planetary Astrophysics · Physics 2010-01-29 Hanno Rein , John C. B. Papaloizou , Wilhelm Kley

Multiple analytical and empirical stability criteria have been derived in the literature for two planet systems. But, the dependence of the stability limit on the initial mutual inclination between the inner and outer orbits is not well…

Earth and Planetary Astrophysics · Physics 2024-04-12 Hareesh Gautham Bhaskar , Hagai Perets

Long-term precise Doppler measurements with the CORALIE spectrograph revealed the presence of two massive companions to the solar-type star HD202206. Although the three-body fit of the system is unstable, it was shown that a 5:1 mean motion…

Earth and Planetary Astrophysics · Physics 2015-05-14 J. Couetdic , J. Laskar , A. C. M. Correia , M. Mayor , S. Udry

Multi-planet systems around evolved stars are of interest to trace the evolution of planetary systems into the post-main sequence phase. HD 47366, an evolved intermediate mass star, hosts two giant planets on moderately eccentric orbits.…

Earth and Planetary Astrophysics · Physics 2018-12-19 J. P. Marshall , R. A. Wittenmyer , J. Horner , J. Clark , M. W. Mengel , T. C. Hinse , M. T. Agnew , S. R. Kane
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