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The theoretical apsidal motion constants are key tools to investigate the stellar interiors in close eccentric binary systems. In addition, these constants and the moment of inertia are also important to investigate the tidal evolution of…

Solar and Stellar Astrophysics · Physics 2019-08-07 Antonio Claret

Consider the spatial three-body problem, in the regime where one body revolves far away around the other two, in space, the masses of the bodies being arbitrary but fixed; in this regime, there are no resonances in mean motions. The…

Dynamical Systems · Mathematics 2016-03-23 Jacques Féjoz , Marcel Guardia

We investigate the non-resonant, 3-D (spatial) model of the hierarchical system composed of point-mass stellar (or sub-stellar) binary and a low-mass companion (a circumbinary planet or a brown dwarf). We take into account the leading…

Earth and Planetary Astrophysics · Physics 2015-05-19 Cezary Migaszewski , Krzysztof Gozdziewski

We report 21-yr timing of one of the most precise pulsars: PSR J1713+0747. Its pulse times of arrival are well modeled by a comprehensive pulsar binary model including its three-dimensional orbit and a noise model that incorporates…

We present a semi-analytical correction to the seminal solution for the secular motion of a planet's orbit under gravitational influence of an external perturber derived by Heppenheimer (1978). A comparison between analytical predictions…

Earth and Planetary Astrophysics · Physics 2017-03-15 Eduardo Andrade-Ines , Siegfried Eggl

Short-period binary star systems dissipate orbital energy through tidal interactions that lead to tighter, more circular orbits. When at least one star in a binary has evolved off of the main sequence, orbital circularization occurs for…

Solar and Stellar Astrophysics · Physics 2018-10-31 Adrian M. Price-Whelan , Jeremy Goodman

The existence of millisecond pulsars with planet-mass companions (Bailes et al., 2011) in close orbits is challenging from the stellar evolution point of view. We calculate in detail the evolution of binary systems self-consistently,…

Solar and Stellar Astrophysics · Physics 2015-06-05 O. G. Benvenuto , M. A. De Vito , J. E. Horvath

This paper studies the long term evolution of planetary systems containing short-period planets, including the effects of tidal circularization, secular excitation of eccentricity by companion planets, and stellar damping. For planetary…

Astrophysics · Physics 2008-11-26 Fred C. Adams , Gregory Laughlin

Stellar rotation affects the transport of chemical elements and angular momentum and is therefore a key process during stellar evolution, which is still not fully understood. This is especially true for massive stars, which are important…

The validity of the classical formula for the rate of secular apsidal motion in close binaries is investigated for a sequence of models of a 5 solar mass star ranging from the last stages of the C12 -> N14 reaction to the phase where…

Astrophysics · Physics 2009-11-07 B. Willems , A. Claret

The Kozai mechanism for a hierarchical triple system could reduce the merger time of inner eccentric binary emitting gravitational waves (GWs), and has been qualitatively explained with the secular theory that is derived by averaging…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Naoki Seto

More than 10% of extra-solar planets (EPs) orbit in a binary or multiple stellar system. We investigated the motion of planets revolving in binary systems in the frame of the particular case of the three body problem. We carried out an…

Earth and Planetary Astrophysics · Physics 2015-06-12 E. Plávalová , N. A. Solovaya

Analysis of AR Sco optical light curves spanning nine years show a secular change in the relative amplitudes of the beat pulse pairs generated by the two magnetic poles of its rotating white dwarf. Recent photometry now shows that the…

Tidal evolution of eccentric binary systems containing at least one massive main-sequence (MS) star plays an important role in the formation scenarios of merging compact-object binaries. The dominant dissipation mechanism in such systems…

Solar and Stellar Astrophysics · Physics 2022-01-05 Yubo Su , Dong Lai

The huge derivative of orbital period observed in binary pulsar PSR B1259-63, the torque reversal displaying on low mass X-ray binary, 4U1627-67 and the long term change of orbital period of PSR J2051-0827, seem totally unrelated phenomena…

High Energy Astrophysical Phenomena · Physics 2014-01-28 Biping Gong , Zhiqiang Yan

We report eclipse timing variation analyses of 26 compact hierarchical triple stars comprised of an eccentric eclipsing ('inner') binary and a relatively close tertiary component found in the {\em Kepler} field. We simultaneously fit the…

Solar and Stellar Astrophysics · Physics 2015-06-23 Tamas Borkovits , Saul Rappaport , Tamas Hajdu , Janos Sztakovics

Most extrasolar planets are observed to have eccentricities much larger than those in the solar system. Some of these planets have sibling planets, with comparable masses, orbiting around the same host stars. In these multiple planetary…

Astrophysics · Physics 2009-11-07 M. Nagasawa , D. N. C. Lin , S. Ida

Neutron stars in close binary systems have the potential to spin up to millisecond periods due to the accretion of matter and angular momentum from their low-mass companions. In later stages of this process, they sometimes start to swing…

High Energy Astrophysical Phenomena · Physics 2026-05-22 S. V. Karpov , Artyom S. Tanashkin , G. M. Beskin , V. L. Plokhotnichenko , Y. A. Shibanov , D. A. Zyuzin

We report the results of timing observations of PSR J1952+2630, a 20.7 ms pulsar in orbit with a massive white dwarf companion. With the increased timing baseline, we obtain improved estimates for astrometric, spin, and binary parameters…

High Energy Astrophysical Phenomena · Physics 2022-12-28 T. Gautam , P. C. C. Freire , A. Batrakov , M. Kramer , C. C. Miao , E. Parent , W. W. Zhu

The dynamical evolution of a hierarchical three body system is well characterized by the eccentric Kozai-Lidov mechanism, where the inner orbit can undergo large eccentricity and inclination oscillations. It was shown before that starting…

Earth and Planetary Astrophysics · Physics 2015-06-17 Gongjie Li , Smadar Naoz , Bence Kocsis , Abraham Loeb