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In the restricted four-body problem consisting of the Earth, the Moon and the Sun as the primaries and a spacecraft as the planetoid, we take into account the solar perturbation in the description of the motion of a spacecraft in the…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Emmanuele Battista , Simone Dell'Agnello , Giampiero Esposito , Luciano Di Fiore , Jules Simo , Aniello Grado

The standard $\Lambda$CDM paradigm seems to describe cosmology and large scale structure formation very well. However, a number of puzzling observations remain on galactic scales. An example is the anisotropic distribution of satellite…

Astrophysics of Galaxies · Physics 2020-04-07 Indranil Banik , Hongsheng Zhao

It is debated whether close-in giant planets can form in-situ and if not, which mechanisms are responsible for their migration. One of the observable tests for migration theories is the current value of the angle between the stellar…

Earth and Planetary Astrophysics · Physics 2018-10-17 Cilia Damiani , Stéphane Mathis

Planets with masses between 0.1 - 10 M_earth are believed to host dense atmospheres. These atmospheres can play an important role on the planet's spin evolution, since thermal atmospheric tides, driven by the host star, may counterbalance…

Earth and Planetary Astrophysics · Physics 2014-08-05 Diana Cunha , Alexandre C. M. Correia , Jacques Laskar

It is customary to perform analysis of the Earth's rotation in two steps: first, to present results of estimation of the Earth orientation parameters in the form of time series based on a simplified model of variations of the Earth's…

Astrophysics · Physics 2010-12-14 L. Petrov

Tides are the main driving force behind the long-term evolution of planetary systems. The associated energy dissipation and momentum exchanges are commonly described by Love numbers, which relate the exciting potential to the tidally…

Earth and Planetary Astrophysics · Physics 2025-02-05 Pierre Auclair-Desrotour , Gwenaël Boué , Baptiste Loire

Context. The potential field source surface model is frequently used as a basis for further scientific investigations where a comprehensive coronal magnetic field is of importance. Its parameters, especially the position and shape of the…

Solar and Stellar Astrophysics · Physics 2020-07-01 Martin Kruse , Verena Heidrich-Meisner , R. F. Wimmer-Schweingruber , Michael Hauptmann

Current space exploration programs call for the establishment of a permanent Human presence on the Moon. This paper considers periodic orbits of a shuttle between the Earth and the Moon. Such a shuttle will be needed to bring supplies to…

Earth and Planetary Astrophysics · Physics 2023-08-03 T. Carter , M. Humi

The local curvature of the space produced by the Sun causes not only the perihelion precession of Mercury's elliptical orbit, but also the variations of the whole orbit, in comparison with those predicted by the Newtonian theory of…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Q. H. Liu , Q. Li , T. G. Liu , X . Wang

Surface runoff shapes planetary landscapes, but global hydrological models often lack the resolution and flexibility to simulate dynamic surface water bodies beyond Earth. Recent studies of Mars have revealed abundant geological and…

Earth and Planetary Astrophysics · Physics 2026-03-05 Alexandre Gauvain , François Forget , Martin Turbet , Jean-Baptiste Clément , Lucas Lange , Romain Vandemeulebrouck

Time-dependent gravity data from satellite missions like GRACE-FO reveal mass redistribution in the system Earth at various time scales: long-term climate change signals, inter-annual phenomena like El Nino, seasonal mass transports and…

Numerical Analysis · Mathematics 2024-12-20 Naomi Schneider , Volker Michel , Nico Sneeuw

% context :The precise and accurate modelling of a terrestrial planet like Venus is an exciting and challenging topic, all the more interesting since it can be compared with that of the Earth for which such a modelling has already been…

Earth and Planetary Astrophysics · Physics 2015-05-18 L. Cottereau , J. Souchay , S. Aljbaae

A better understanding of the ice-ocean couplings is required to better characterise the hydrosphere of the icy moons. Using global numerical simulations in spherical geometry, we have investigated here the interplay between rotating…

Earth and Planetary Astrophysics · Physics 2024-12-16 T. Gastine , B. Favier

Tidal coupling between members of a compact binary system can have an interesting and important influence on that binary's dynamical inspiral. Tidal coupling also distorts the binary's members, changing them (at lowest order) from spheres…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Stephen O'Sullivan , Scott A. Hughes

The bounded oscillations of rotating fluid-filled ellipsoids can provide physical insight into the flow dynamics of deformed planetary interiors. The inertial modes, sustained by the Coriolis force, are ubiquitous in rapidly rotating fluids…

Earth and Planetary Astrophysics · Physics 2021-09-01 Jérémie Vidal , David Cébron

The displacement of star images by atmospheric refraction observed by an Earth-bound telescope is dominated by a familiar term proportional to the product of the tangent of the zenith angle by the refractivity at the ground. The manuscript…

Instrumentation and Methods for Astrophysics · Physics 2015-03-02 Richard J. Mathar

We begin by studying the surface area of an ellipsoid in n-dimensional Euclidean space as the function of the lengths of the semi-axes. We write down an explicit formula as an integral over the unit sphere in n-dimensions and use this…

Metric Geometry · Mathematics 2007-05-23 Igor Rivin

The extraordinary activity at Enceladus' warm south pole indicates the presence of an internal global or local reservoir of liquid water beneath the surface. While Tyler (2009, 2011) has suggested that the geological activity and the large…

Earth and Planetary Astrophysics · Physics 2016-01-27 Rose-Marie Baland , Marie Yseboodt , Tim Van Hoolst

A theoretical and experimental study of the spin-over mode induced by the elliptical instability of a flow contained in a slightly deformed rotating spherical shell is presented. This geometrical configuration mimics the liquid rotating…

Classical Physics · Physics 2016-08-16 L. Lacaze , P. Le Gal , S. Le Dizès

The nearly equal lunar and solar angular sizes as subtended at the Earth is generally regarded as a coincidence. This is, however, an incidental consequence of the tidal forces from these bodies being comparable. Comparable magnitudes…

Earth and Planetary Astrophysics · Physics 2015-06-19 Steven A. Balbus