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We investigate the secular dynamics of three-body circumbinary systems under the effect of tides. We use the octupolar non-restricted approximation for the orbital interactions, general relativity corrections, the quadrupolar approximation…

Earth and Planetary Astrophysics · Physics 2016-08-12 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar

Direct-imaging techniques of exoplanets have made significant progress recently, and will eventually enable to monitor photometric and spectroscopic signals of earth-like habitable planets in the future. The presence of clouds, however,…

The motion of two planets around a Sun-like star under the combined effects of mutual interaction and tidal dissipation is investigated. The secular behaviour of the system is analyzed using two different approaches. First, we solve the…

Earth and Planetary Astrophysics · Physics 2015-05-27 Adrián Rodríguez , Sylvio Ferraz-Mello , Tatiana A. Michtchenko , Cristian Beaugé , Octavio Miloni

The dynamics of small bodies around the Earth has gained a renewed interest, since the awareness of the problems that space debris can cause in the nearby future. A relevant role in space debris is played by lunisolar secular resonances,…

Earth and Planetary Astrophysics · Physics 2016-07-14 Alessandra Celletti , Catalin Gales

Building initial conditions for generic binary black-hole evolutions without initial spurious eccentricity remains a challenge for numerical-relativity simulations. This problem can be overcome by applying an eccentricity-removal procedure…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Alessandra Buonanno , Lawrence E. Kidder , Abdul H. Mroué , Harald P. Pfeiffer , Andrea Taracchini

New Horizons mission observations show that the small satellites Styx, Nix, Kerberos and Hydra, of the Pluto-Charon system, have not tidally spun-down to near synchronous spin states and have high obliquities with respect to their orbit…

Earth and Planetary Astrophysics · Physics 2017-05-03 Alice C. Quillen , Fiona Nichols-Fleming , Yuan-Yuan Chen , Benoit Noyelles

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

The anomalously slow rotation of the solar core is just one from a remarkable lists of fundamental indications showing that the solar core is somehow coupled to the surface activity cycle. On the other hand, the atmospheric, LSND and solar…

Astrophysics · Physics 2007-05-23 Attila Grandpierre

The current knowledge of Mercury orbit has mainly been gained by direct radar ranging obtained from the 60s to 1998 and by five Mercury flybys made by Mariner 10 in the 70s, and MESSENGER made in 2008 and 2009. On March 18, 2011, MESSENGER…

Earth and Planetary Astrophysics · Physics 2015-06-16 Ashok Verma , Agnes Fienga , Jacques Laskar , Herve Manche , Mickael Gastineau

Ptolemy-s planetary model is an ancient geocentric astronomical model, describing the observed motion of the Sun and the planets. Ptolemy accounted for the deviations of planetary orbits from perfect circles by introducing two small and…

History and Philosophy of Physics · Physics 2015-03-11 Ilia Rushkin

We investigate a method to compute a finite set of preliminary orbits for solar system bodies using the first integrals of the Kepler problem. This method is thought for the applications to the modern sets of astrometric observations, where…

Mathematical Physics · Physics 2010-04-01 Giovanni Federico Gronchi , Linda Dimare , Andrea Milani

The possibility of measuring the post-Newtonian gravitoelectric correction to the orbital period of a test particle freely orbiting a spherically symmetric mass in the Solar System is analyzed. It should be possible, in principle, to detect…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lorenzo Iorio

Uranus' startlingly large obliquity of 98 degrees has yet to admit a satisfactory explanation. The most widely accepted hypothesis involving a giant impactor that tipped Uranus onto its side encounters several difficulties with regards to…

Earth and Planetary Astrophysics · Physics 2023-03-07 Tiger Lu , Gregory Laughlin

Numerous circumbinary planets have been discovered in surveys of transiting planets. Often, these planets are found to orbit near to the zone of dynamical instability, close to the central binary. The existence of these planets has been…

Earth and Planetary Astrophysics · Physics 2023-03-29 Gavin A. L. Coleman , Richard P. Nelson , Amaury H. M. J. Triaud

The characteristics of the resonant disturbing function for an asteroid perturbed by a planet in circular orbit are discussed. The location of the libration centers and their dependence with the orbital elements of the resonant orbit are…

Astrophysics · Physics 2007-08-16 Tabare Gallardo

The mutual orbital alignment in multiple planetary systems is an important parameter for understanding their formation. There are a number of elaborate techniques to determine the alignment parameters using photometric or spectroscopic…

Earth and Planetary Astrophysics · Physics 2021-12-29 Holger M. Müller , Panagiotis Ioannidis , Jürgen H. M. M. Schmitt

Eclipsing binaries are observed to have a range of eccentricities and spin-orbit misalignments (stellar obliquities). Whether such properties are primordial, or arise from post-formation dynamical interactions remains uncertain. This paper…

Solar and Stellar Astrophysics · Physics 2017-03-20 Kassandra R. Anderson , Dong Lai , Natalia I. Storch

The six-degree obliquity of the sun suggests that either an asymmetry was present in the solar system's formation environment, or an external torque has misaligned the angular momentum vectors of the sun and the planets. However, the exact…

Earth and Planetary Astrophysics · Physics 2016-10-26 Elizabeth Bailey , Konstantin Batygin , Michael E. Brown

Accurate modelling of black hole binaries is critical to achieve the science goals of gravitational-wave detectors. Modelling such configurations relies strongly on calibration to numerical-relativity (NR) simulations. Binaries on…

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