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We study the dynamics of a hierarchical three-body system in the general-relativistic regime: an extreme mass-ratio inner binary under the tidal influence of an external body. The inner binary consists of a central Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Huan Yang , Marc Casals

General Relativity (GR) is shown to be a complete theory with respect to the isochrony of the pendulum. This guarantees that time can be measured with a mechanical clock within the theory itself as a matter of principle. The proper and…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Miguel A. Martin-Delgado

Because of the high eccentricities (~0.3) of two of the possible planets about the star Upsilon Andromeda, the stability of the system requires careful study. We present results of 1000 numerical simulations which explore the orbital…

Astrophysics · Physics 2009-10-31 Rory Barnes , Thomas Quinn

General relativistic corrections to the galaxy power spectrum appearing at the horizon scale, if neglected, may induce biases on the measured values of the cosmological parameters. In this paper, we study the impact of general relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 L. Lopez-Honorez , O. Mena , S. Rigolin

Secular evolution of binaries driven by an external (tidal) potential is a classic astrophysical problem. Tidal perturbations can arise due to an external point mass, as in the Lidov-Kozai (LK) theory of hierarchical triples, or due to an…

Astrophysics of Galaxies · Physics 2021-05-20 Chris Hamilton , Roman R. Rafikov

Surveys for gravitational lens systems have typically found a significantly larger fraction of lenses with four (or more) images than are predicted by standard ellipsoidal lens models (50% versus 25-30%). We show that including the effects…

Astrophysics · Physics 2009-11-07 J. D. Cohn , C. S. Kochanek

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

We describe the long-term evolution of compact systems of terrestrial planets, using a set of simulations that match the statistical properties of the observed exoplanet distribution. The evolution is driven by tidal dissipation in the…

Earth and Planetary Astrophysics · Physics 2015-06-19 Bradley M. S. Hansen , Norman Murray

A widely considered characteristic of extra-solar planetary systems has been a seeming tendency for major axes of adjacent orbits to librate in stable configurations. Based on a new catalog of extra-solar planets (Butler et al. 2006) and…

Astrophysics · Physics 2009-11-11 Rory Barnes , Richard Greenberg

Motivated by the diversity of circumstellar planets in binary stars and the strong effects of the secular resonances of Jupiter and Saturn on the formation and architecture of the inner solar system, we have launched an expansive project on…

Earth and Planetary Astrophysics · Physics 2025-07-29 Nader Haghighipour , Michael Andrew

In this paper we consider the Extra-solar Planetary Systems recently discovered in our Galaxy as potential sources of gravitational waves. We estimate the frequency and characteristic amplitude of the radiation they emit due to the orbital…

Astrophysics · Physics 2009-10-31 Valeria Ferrari , Marco D'Andrea , Emanuele Berti

Gravitational microlensing is one of the methods to detect exoplanets; planets outside our solar system. Here we focus on theoretical modeling of three lens systems and in particular circumbinary systems. Circumbinary systems include two…

Earth and Planetary Astrophysics · Physics 2021-09-30 Brett George , Eleni-Alexandra Kontou , Patrycja Przewoznik , Eleanor Turrell

Placing the architecture of the Solar System within the broader context of planetary architectures is one of the primary topics of interest within planetary science. Exoplanet discoveries have revealed a large range of system architectures,…

Earth and Planetary Astrophysics · Physics 2023-02-23 Stephen R. Kane

Dark matter (DM) can consist of very light bosons behaving as a classical scalar field that experiences coherent oscillations. The presence of this DM field would perturb the dynamics of celestial bodies, either because the (oscillating) DM…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Diego Blas , Diana López Nacir , Sergey Sibiryakov

The study of extra-solar planetary systems has emerged as a new discipline of observational astronomy in the past few years with the discovery of a number of extra-solar planets. The properties of most of these extra-solar planets were not…

In a multi-planet system, a gradual change in one planet's semi-major axis will affect the eccentricities of all the planets, as angular momentum is distributed via secular interactions. If tidal dissipation in the planet is the cause of…

Earth and Planetary Astrophysics · Physics 2015-05-27 Richard Greenberg , Christa Van Laerhoven

We carry out a covariant calculation of the measurable relativistic effects in an orbiting gyroscope experiment. The experiment, currently known as Gravity Probe B, compares the spin directions of an array of spinning gyroscopes with the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Clifford M. Will

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

The increasing precision of spacecraft radiometric tracking data experienced in the last number of years, coupled with the huge amount of data collected and the long baselines of the available datasets, has made the direct observation of…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Fabrizio De Marchi , Gael Cascioli

In this paper we compare the effects of different theories of gravitation on the apsidal motion of a sample of Eccentric Eclipsing Detached Binary stars. The comparison is performed by using the formalism of the Post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2012-07-24 Mariafelicia De Laurentis , Rosario De Rosa , Fabio Garufi , Leopoldo Milano
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