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The physical principles and the mathematical structure involved in deriving an analytical representation of the internal structure of the sun are discussed. For a two-parameter family of a non-linear matter density distribution, the run of…

Classical Analysis and ODEs · Mathematics 2016-09-07 Hans J. Haubold

Hydrostatic equilibrium and energy conservation determine the conditions in the gravitationally stabilized solar fusion reactor. We assume a matter density distribution varying non-linearly through the central region of the Sun. The…

Classical Analysis and ODEs · Mathematics 2016-09-06 Hans J. Haubold , Arak Mathai Mathai

Physical principles and mathematical structure involved in deriving an analytical representation of the internal structure of the Sun is discussed. For a two-parameter family of a non-linear matter density distribution, the run of mass,…

Astrophysics · Physics 2011-03-02 Hans J. Haubold

Hydrostatic equilibrium and energy conservation determine the conditions in the gravitationally stabilized solar fusion reactor. We assume a matter density distribution varying non- linearly through the central region of the Sun. The…

Astrophysics · Physics 2011-03-17 H. J. Haubold , A. M. Mathai

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

Solar neutrinos coming from different nuclear reactions are now detected with a high statistics. Consequently, an accurate spectroscopic analysis of the neutrino fluxes arriving on the Earth's detectors become available, in the context of…

Solar and Stellar Astrophysics · Physics 2013-02-13 Ilídio Lopes , Sylvaine Turck-Chièze

The Sun provides a critical benchmark for the general study of stellar structure and evolution. Also, knowledge about the internal properties of the Sun is important for the understanding of solar atmospheric phenomena, including the solar…

Solar and Stellar Astrophysics · Physics 2021-05-17 Joergen Christensen-Dalsgaard

We present a new approach to study the properties of the sun. We consider small variations of the physical and chemical properties of the sun with respect to Standard Solar Model predictions and we linearize the structure equations to…

Solar and Stellar Astrophysics · Physics 2014-11-20 F. L. Villante , B. Ricci

The discovery of solar neutrinos confirmed that the inner workings of the Sun generally match our theoretical understanding of the fusion process. Solar neutrinos have also played a role in discovering that neutrinos have mass and that they…

High Energy Physics - Phenomenology · Physics 2025-05-19 Peter B. Denton , Charles Gourley

In this work, a liquid model of the Sun is presented wherein the entire solar mass is viewed as a high density/high energy plasma. This model challenges our current understanding of the densities associated with the internal layers of the…

Astrophysics · Physics 2007-05-23 Pierre-Marie Robitaille

The Sun is the most constrained and well-studied of all stars. As a consequence, the physical ingredients entering solar models are used as a reference to study all other stars observed in the Universe. However, our understanding of the…

The solar interior has been scrutinized by two different and independent probes during the last twenty years with important revisions of the solar model, including a recent heavy element abundance revision. Today, we get a quantitatively…

Astrophysics · Physics 2009-11-11 S. Turck-Chieze , S. Couvidat , L. Piau

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

The richness and very high accuracy of the observed frequencies of solar oscillations provide tight constraints on the structure of the solar interior and hence on the assumptions underlying the calculation of solar models. This permits the…

Astrophysics · Physics 2007-05-23 J. Christensen-Dalsgaard

The chemical composition of the Sun is among the most important quantities in astrophysics. Solar abundances are needed for modelling stellar atmospheres, stellar structure and evolution, population synthesis, and galaxies as a whole. The…

Solar and Stellar Astrophysics · Physics 2016-07-27 Maria Bergemann , Aldo Serenelli

Some basic properties of the solar convection zone are considered and the use of helioseismology as an observational tool to determine its depth and internal angular velocity is discussed. Aspects of solar magnetism are described and…

Astrophysics · Physics 2007-08-30 Axel Brandenburg

The solar chemical composition is an important ingredient in our understanding of the formation, structure and evolution of both the Sun and our solar system. Furthermore, it is an essential reference standard against which the elemental…

Solar and Stellar Astrophysics · Physics 2014-11-20 Martin Asplund , Nicolas Grevesse , A. Jacques Sauval , Pat Scott

This chapter provides a brief introduction to the chemical composition of the Sun. The focus of the chapter is on results obtained from the physical analysis of the solar photosphere. Data obtained from meteorites, solar wind and corona…

Solar and Stellar Astrophysics · Physics 2025-03-10 Maria Bergemann , Katharina Lodders , Herbert Palme

The Sun provides a standard reference against which we compare the chemical abundances found anywhere else in the Universe. Nevertheless, there is not a unique 'solar' composition, since the chemical abundances found in the solar interior,…

Solar and Stellar Astrophysics · Physics 2021-06-22 Carlos Allende Prieto

One of the basic questions of solar research is the nature of the Sun. We show here how the plasma nature of the Sun leads to the self-generation of solar activity. The release of magnetic, rotational, gravitational, nuclear energies and…

Astrophysics · Physics 2010-04-23 A. Grandpierre
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