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Global warming is affecting our Earth's environment. For example, sea level is rising with thermal expansion of water and fresh water input from the melting of continental ice sheets due to human-induced global warming. However, observing…

Geophysics · Physics 2016-11-17 Shuanggen Jin , Liangjing Zhang , Guiping Feng

The shapelets method for image analysis is based upon the decomposition of localised objects into a series of orthogonal components with convenient mathematical properties. We extend the "Cartesian shapelet" formalism from earlier work, and…

Astrophysics · Physics 2009-11-10 Richard Massey , Alexandre Refregier

Kepler's laws of planetary motion are acknowledged as highly significant to the construction of universal gravitation. The present study demonstrates different ways to derive the law of equal areas for the Earth by general geometrical and…

History and Philosophy of Physics · Physics 2015-05-28 Wu-Yi Hsiang , Hai-Chau Chang , Herng Yao , Pon-Jen Chen

There exist two ways of defining regular variation of a time series in a star-shaped metric space: either by the distributions of finite stretches of the series or by viewing the whole series as a single random element in a sequence space.…

Probability · Mathematics 2017-02-03 Johan Segers , Yuwei Zhao , Thomas Meinguet

Assuming a suitable rotation of the Universe as a whole, we can attribute the rotation of galaxies to it. Using Lagrangian Mechanics we then can find the equations governing the rotation of a galaxy. We find in this way the azimuthal…

General Physics · Physics 2012-05-30 Evangelos Chaliasos

The observation data for artificial celestial body 43096, which had been obtained during 2006-2012 within the framework of international project "The Scientific Network of Optical Instruments for Astrometric and Photometric Observations" -…

Earth and Planetary Astrophysics · Physics 2014-04-18 A. A. Bazyey , N. V. Bazyey , V. I. Kashuba , S. G. Kashuba , V. V. Kouprianov , I. E. Molotov , Z. N. Khutorovsky , L. G Tsybizova

The polar field reversal is a crucial process in the cyclic evolution of the large-scale magnetic field of the Sun.Various important characteristics of a solar cycle, such as its duration and strength, and also the cycle predictability, are…

Solar and Stellar Astrophysics · Physics 2023-08-02 Elena M. Golubeva , Akash Biswas , Anna I. Khlystova , Pawan Kumar , Bidya Binay Karak

The role of water ice in the solar system is reviewed from a fluid-dynamical point of view. On Earth and Mars, water ice forms ice sheets, ice caps and glaciers at the surface, which show glacial flow under their own weight. By contrast,…

Geophysics · Physics 2015-05-22 Ralf Greve

A model is proposed to explain the observed correlation between monthly fluctuations in atmospheric CO2 concentrations and temperatures. The model relies on the oceans being in a temperature-dependent equilibrium with the atmosphere. When…

Atmospheric and Oceanic Physics · Physics 2008-02-22 Francois Ouellette

A human is a thing that moves in space. Like all things that move in space, we can in principle use differential equations to describe their motion as a set of functions that maps time to position (and velocity, acceleration, and so on).…

Physics and Society · Physics 2022-08-03 Gabriele De Luca , Thomas J. Lampoltshammer , Johannes Scholz

Euler's rotation theorem states that any reconfiguration of a rigid body with one of its points fixed is equivalent to a single rotation about an axis passing through the fixed point. The theorem forms the basis for Chasles' theorem which…

History and Overview · Mathematics 2020-08-13 Toby Joseph

The local rigid-body component of continuum deformation is typically characterized by the rotation tensor, obtained from the polar decomposition of the deformation gradient. Beyond its well-known merits, the polar rotation tensor also has a…

Dynamical Systems · Mathematics 2015-10-20 George Haller

In geometric algebra, the rotation of a vector is described using rotors. Rotors are phasors where the imaginary number has been replaced by a oriented plane element of unit area called a unit bivector. The algebra in three dimensional…

Classical Physics · Physics 2022-11-01 S. D. Brechet

The solar cycle and its associated magnetic activity are the main drivers behind changes in the interplanetary environment and Earth's upper atmosphere (commonly referred to as space weather and climate). In recent years there has been an…

Solar and Stellar Astrophysics · Physics 2013-10-08 Andrés Muñoz-Jaramillo , Laura A. Balmaceda , Edward E. DeLuca

Context: Seasonal variations and climate stability of a planet are very sensitive to the planet obliquity and its evolution. This is of particular interest for the emergence and sustainability of land-based life, but orbital and rotational…

Earth and Planetary Astrophysics · Physics 2019-02-27 Melaine Saillenfest , Jacques Laskar , Gwenaël Boué

We study the spatio-temporal dynamics of a model of polar active fluid in two dimensions. The system exhibits a transition from an isotropic to a polarized state as a function of density. The uniform polarized state is, however, unstable…

Soft Condensed Matter · Physics 2011-12-08 Luca Giomi , M. Cristina Marchetti

Several satellite missions, devoted to the study of the Earth gravity field, have been launched (like CHAMP, recently). This year, GRACE (Gravity Recovery and Climate Experiment) will allow us to obtain a more precise geoid. But the most…

Astrophysics · Physics 2007-11-29 G. Bourda

In this lengthy letter, we wanted to discuss the concept of climate based on definitions established for over a century and direct observations that we have been collecting for more than a century as well. To do this, we present and discuss…

A slightly tilted permanent magnet rotating at high speed can induce a magnetic field capable of trapping another permanent magnet in a gravity independent levitated bound state, bypassing Earnshaw's theorem. During levitation, the floater…

Classical Physics · Physics 2026-04-23 Hugo Schreckenberg , Zayneb El Omari El Alaoui , Guilhem Gallot

A highly precise model for the motion of a rigid Earth is indispensable to reveal the effects of non-rigidity in the rotation of the Earth from observations. To meet the accuracy goal of modern theories of Earth rotation of 1 microarcsecond…

Earth and Planetary Astrophysics · Physics 2012-02-28 E. Gerlach , S. Klioner , M. Soffel