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The Modified Newtonian Dynamics (MOND) generically predicts a violation of the strong version of the equivalence principle. As a result the gravitational dynamics of a system depends on the external gravitational field in which the system…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-01 Luc Blanchet , Jerome Novak

In general-relativistic perturbation theory, a point mass accelerates away from geodesic motion due to its gravitational self-force. Because the self-force is small, one can often approximate the motion as geodesic. However, it is well…

General Relativity and Quantum Cosmology · Physics 2016-08-23 Adam Pound

(abbreviated) We use a semi-numerical approach to study the secular behavior of a system composed of a central star and two massive planets in eccentric co-planar orbits. We show that the secular dynamics of this system can be described…

Astrophysics · Physics 2009-11-10 T. A. Michtchenko , R. Malhotra

The aim of this work is to provide new insights on the dynamics associated to the resonances which arise as a consequence of the coupling of the effect due to the oblateness of the Earth and the Solar Radiation Pressure (SRP) effect for an…

Earth and Planetary Astrophysics · Physics 2022-12-14 Roberto Paoli

We analyse the secular dynamics of planets on S-type coplanar orbits in tight binary systems, based on first- and second-order analytical models, and compare their predictions with full N-body simulations. The perturbation parameter adopted…

Earth and Planetary Astrophysics · Physics 2016-01-20 Eduardo Andrade-Ines , Cristian Beaugé , Tatiana Michtchenko , Philippe Robutel

We examine contributions of second order physical processes to results of stellar evolution calculations amenable to direct observational testing. In the first paper in the series (Young et al. 2001) we established baseline results using…

Astrophysics · Physics 2009-11-10 Patrick A. Young , David Arnett

Recent seismic observations coming from acoustic and gravity modes clearly show that the solar standard model has reached its limits and can no longer be used to interpret satisfactorily seismic observations. In this paper, we present a…

Astrophysics · Physics 2007-05-23 A. Palacios , S. Talon , S. Turck-Chieze , C. Charbonnel

Extragalactic proper motions can reveal a variety of cosmological and local phenomena over a range of angular scales. These include observer-induced proper motions, such as the secular aberration drift caused by the solar acceleration about…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-02 Jeremy Darling , Alexandra Truebenbach , Jennie Paine

The figure of the Sun reflects its inner structure and dynamics, influencing also the perihelion precession of close orbiting bodies, like Mercury. To study the solar figure from ground, the deformation on the solar image induced by the…

Solar and Stellar Astrophysics · Physics 2014-02-05 Costantino Sigismondi , Sergio Calderari Boscardin

The overall framework for the study of solar convection and oscillations is the spherically symmetric component of solar structure. I discuss those properties of the solar interior which depend on convection and other possible…

Astrophysics · Physics 2016-01-27 J. Christensen-Dalsgaard

Among all the theories proposed to explain the 'anomalous' perihelion precession of Mercury's orbit announced in 1859 by Le Verrier, the general theory of relativity proposed by Einstein in November 1915, alone could calculate Mercury's…

General Physics · Physics 2009-11-13 Abhijit Biswas , Krishnan R. S. Mani

The centrifugial acceleration of the Solar system, resulting from the gravitational attraction of the Galaxy centre, causes a phenomenon known as 'secular aberrration drift'. This acceleration of the Solar system barycentre has been ignored…

Instrumentation and Methods for Astrophysics · Physics 2013-11-06 Oleg Titov

Context. High accuracy astrometric instruments like Gaia aiming at an accuracy of 1 microarcsecond cannot be considered as point-like observers in the framework of relativistic modelling of observable quantities. Aims. Special-relativistic…

Astrophysics · Physics 2007-05-23 G. Anglada-Escude , S. Klioner , M. Soffel , J. Torra

We present a closed system of coupled first order differential equations governing the secular linear momentum loss of a compact binary due to emitted gravitational waves, with the leading order relativistic and spin-orbit perturbations…

General Relativity and Quantum Cosmology · Physics 2010-08-05 Zoltán Keresztes , Balázs Mikóczi , László Á. Gergely , Mátyás Vasúth

We have found that the expansion of the universe has immense consequences on our local systems. We present a model based on cosmic expansion that fits well with observation. The close approach problem inflicting tidal theory is averted in…

Astrophysics · Physics 2008-11-21 Arbab I. Arbab

The high quality data provided by helioseismology, solar neutrino flux measurements, spectral determination of solar abundances, nuclear reactions rates coefficients among other experimental data, leads to the highly accurate prediction of…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-17 Ilídio Lopes

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

It has been demonstrated that systems of tightly packed inner planets with giant exterior companions tend to have less regular orbital spacings than those without such companions. We investigate whether this observed increase in the gap…

Earth and Planetary Astrophysics · Physics 2024-12-30 Joseph R. Livesey , Juliette Becker

Recent downward revision of solar heavy-element abundances using three-dimensional atmospheric model has introduced serious discrepancies between standard solar models and helioseismic inferences about solar structure. In this paper, we…

Astrophysics · Physics 2009-11-13 Chia-Hsien Lin , H. M. Antia , Sarbani Basu

The Lagrange planetary equations are used to study to secular evolution of a small, eccentric satellite that orbits within a narrow gap in a broad, self-gravitating planetary ring. These equations show that the satellite's secular…

Astrophysics · Physics 2009-11-13 Joseph M. Hahn