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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

This paper examines a number of analytic models which can describe the gravitationally stabilized fusion reactor of the Sun. An analytical multiparameter model is shown to reproduce various structure parameters such as density, mass,…

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

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

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

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

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

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

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 paper is based on lectures on the internal structure and evolution of the Sun. It contains an outline of observational and theoretical elements of the Standard Solar Model, emphasizing also recent research results on solar rotation,…

Astrophysics · Physics 2011-03-01 H. J. Haubold , A. M. Mathai

The second part of the monograph contains the investigation of the structure of the Sun and planets of the solar system. This monograph is addressed to specialists in the field of theoretical and practical hydrodynamics and adjacent…

General Physics · Physics 2022-10-11 I. Z. Shkurchenko

In this monograph (written in 1973-1974) the author uses the theory of mechanics of the inertless mass to investigate the structure of heavenly bodies of the solar system. The structure of the Sun and planets is the sole reason of the…

General Physics · Physics 2022-10-11 I. Z. Shkurchenko

The Sun's internal structure and dynamics can be studied with helioseismology, which uses the Sun's natural acoustic oscillations to build up a profile of the solar interior. We discuss how solar acoustic oscillations are affected by the…

Solar and Stellar Astrophysics · Physics 2014-11-26 A. -M. Broomhall , P. Chatterjee , R. Howe , A. A. Norton , M. J. Thompson

We construct C2 representations of the background quantities that characterize the interior of the Sun and its atmosphere starting from the data-points of the standard solar model S. This model is further extended considering an isothermal…

Solar and Stellar Astrophysics · Physics 2020-09-04 Florian Faucher , Damien Fournier , Ha Pham

The Sun is a standard reference object for Astrophysics and also a fascinating subject of study in its own right. X-ray and extreme ultraviolet movies of the Sun's atmosphere show an extraordinary diversity of plasma phenomena, from barely…

Solar and Stellar Astrophysics · Physics 2024-09-17 Peter R. Young

Solar analogs, broadly defined as stars similar to the Sun in mass or spectral type, provide a useful laboratory for exploring the range of Sun-like behaviors and exploring the physical mechanisms underlying some of the Sun's most elusive…

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 requested in the context of various studies in astrophysics, among them in the calculation of the standard solar models (SSMs), which describe the evolution of the Sun from the pre-main-sequence to its…

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

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
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