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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

The recent discovery of a three-planet extrasolar system of HR 8799 by Marois et al. is a breakthrough in the field of the direct imaging. This great achievement raises questions on the formation and dynamical stability of the HR 8799…

Earth and Planetary Astrophysics · Physics 2015-05-13 Krzysztof Gozdziewski , Cezary Migaszewski

We have developed a comprehensive methodology and an interactive website for calculating the habitable zone (HZ) of multiple star systems. Using the concept of spectral weight factor, as introduced in our previous studies of the…

Earth and Planetary Astrophysics · Physics 2015-06-18 Tobias Mueller , Nader Haghighipour

Triple stars and compact objects are ubiquitously observed in nature. Their long-term evolution is complex; in particular, the von-Zeipel-Lidov-Kozai (ZLK) mechanism can potentially lead to highly eccentric encounters of the inner binary.…

Earth and Planetary Astrophysics · Physics 2022-08-03 Abhi Mangipudi , Evgeni Grishin , Alessandro A. Trani , Ilya Mandel

In co-orbital planetary systems, two or more planets share the same orbit around their star. Here we test the dynamical stability of co-orbital rings of planets perturbed by outside forces. We test two setups: i) 'stationary' rings of…

Earth and Planetary Astrophysics · Physics 2023-05-10 Sean N. Raymond , Dimitri Veras , Matthew S. Clement , Andre Izidoro , David Kipping , Victoria Meadows

In this contribution, the optimal stabilization problem of periodic orbits is studied via invariant manifold theory and symplectic geometry. The stable manifold theory for the optimal point stabilization case is generalized to the case of…

Optimization and Control · Mathematics 2026-02-02 Fabian Beck , Noboru Sakamoto

Context. The presence of a stellar companion can strongly influence the architecture and long-term stability of planetary systems. Motivated by the discovery of exoplanets exhibiting extremely high eccentricities (e >= 0.8) in systems with…

Earth and Planetary Astrophysics · Physics 2026-02-11 Milenne Ávila-Bravo , Carolina Charalambous , Claudia Aguilera-Gómez

We present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interested in very accurate results over a large time span. We…

Numerical Analysis · Mathematics 2015-04-10 Sergio Blanes , Fernando Casas , Ariadna Farres , Jacques Laskar , Joseba Makazaga , Ander Murua

Motivated by the current search for exomoons, this paper considers the stability of tidal equilibrium for hierarchical three-body systems containing a star, a planet, and a moon. In this treatment, the energy and angular momentum budgets…

Earth and Planetary Astrophysics · Physics 2016-08-31 Fred C. Adams , Anthony M. Bloch

Compact hierarchical triple (CHT) systems, where a tertiary component orbits an inner binary, provide critical insights into stellar formation and evolution. Despite their importance, the detection of such systems, especially compact ones,…

Solar and Stellar Astrophysics · Physics 2024-11-28 Dolev Bashi , Andrei Tokovinin

We present the results of a search through the photometric database of eclipsing Kepler binaries (Prsa et al. 2011; Slawson et al. 2011) looking for evidence of hierarchical triple star systems. The presence of a third star orbiting the…

Solar and Stellar Astrophysics · Physics 2015-06-12 S. Rappaport , K. Deck , A. Levine , T. Borkovits , J. Carter , I. El Mellah , R. Sanchis-Ojeda , B. Kalomeni

Close binary stars are binary stars where the component stars are close enough such that they can exchange mass and/or energy. They are subdivided into semi-detached, overcontact or ellipsoidal binary stars. A challenging problem in the…

Solar and Stellar Astrophysics · Physics 2020-01-08 Sandip V. George , R. Misra , G. Ambika

We have developed a comprehensive methodology for calculating the boundaries of the habitable zone (HZ) of planet-hosting S-type binary star systems. Our approach is general and takes into account the contribution of both stars to the…

Earth and Planetary Astrophysics · Physics 2015-06-16 L. Kaltenegger , N. Haghighipour

Instabilities and strong dynamical interactions between multiple giant planets have been proposed as a possible explanation for the surprising orbital properties of extrasolar planetary systems. In particular, dynamical instabilities seem…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Frederic A. Rasio , Kenneth Yu

Transits on single stars are rare. The probability rarely exceeds a few per cent. Furthermore, this probability rapidly approaches zero at increasing orbital period. Therefore transit surveys have been predominantly limited to the inner…

Earth and Planetary Astrophysics · Physics 2015-06-23 David V. Martin , Amaury H. M. J. Triaud

This doctoral thesis studies stellar multiplicity in the solar neighborhood (d < 10 pc) and in systems hosting planets (d < 100 pc). Using data from the Washington Double Star Catalogue, Gaia DR3, and a comprehensive literature review, it…

Solar and Stellar Astrophysics · Physics 2025-11-10 Javier González-Payo

Planets have been observed in tight binary systems with separations less than 20 AU. A likely formation scenario for such systems involves a dynamical capture, after which high relative inclinations are likely and may lead to Kozai…

Earth and Planetary Astrophysics · Physics 2011-02-11 Lamya Saleh , Frederic Rasio

It has been suggested that the long-lived residual radial velocity variations observed in the precision radial velocity measurements of the primary of Gamma Cephei (HR8974, HD222404, HIP116727) are likely due to a Jupiter-like planet around…

Astrophysics · Physics 2009-11-13 Nader Haghighipour

We herein utilize the general three-body problem (GTBP) as a model, in order to simulate resonant systems consisting of a star and two planets, where at least one of them is highly eccentric. We study them in terms of their long-term…

Earth and Planetary Astrophysics · Physics 2015-09-10 K. I. Antoniadou , G. Voyatzis

A key component of characterizing multi-planet exosystems is testing the orbital stability based on the observed properties. Such characterization not only tests the validity of how observations are interpreted but can also place additional…

Earth and Planetary Astrophysics · Physics 2016-09-09 Stephen R. Kane