The Sun is the star at the center of the Solar System, a massive sphere of plasma undergoing nuclear fusion.The Sun is a yellow dwarf of spectral class G2V, the central star of our system. Its mass is about 2×10³⁰ kg. In the core, at a temperature of 15 million kelvin, thermonuclear fusion occurs: the proton-proton chain turns hydrogen into helium-4, releasing neutrinos and gamma rays. Energy is transferred first by radiation, and closer to the surface by convection. The visible surface (photosphere) has a temperature of 5778 K and is covered with granules — convective cells. Above it are the chromosphere and corona, heated to millions of degrees (the heating mechanism is not fully clear). The Sun's activity follows an 11-year cycle, which affects the number of sunspots and flare frequency.
The Sun has been an object of worship and study since ancient times. A scientific breakthrough occurred in 1814 when Joseph von Fraunhofer systematically described the dark lines in the solar spectrum. In 1925, Cecilia Payne-Gaposchkin, applying ionization theory, proved that the Sun and stars consist mainly of hydrogen. The mechanism of thermonuclear fusion was revealed by Hans Bethe and Carl von Weizsäcker in the 1930s. In the second half of the 20th century, helioseismology allowed probing the Sun's interior, and spacecraft studied the solar wind and corona.
The Sun's equilibrium is described by the hydrostatic equation: dP/dr = -G M(r) ρ / r². The rate of thermonuclear reactions strongly depends on temperature: for the proton-proton chain ε ∝ ρ T⁴. The energy release in the core is about 0.3 μW/cm³. In the radiative zone, energy is transported by radiation (opacity coefficient κ), in the convective zone by convection, according to the Schwarzschild criterion. The magnetic field is generated in the tachocline through the Ω-effect, and the α-effect is realized by turbulent convection. Flares are explained by magnetic reconnection — the rapid release of energy, described by magnetohydrodynamics. Doppler measurements allow studying surface motion and internal oscillations. The radiation spectrum is modeled by Planck's law with corrections for chemical composition and opacity. Detection of solar neutrinos confirms the models of thermonuclear burning.
The basis of climate, photosynthesis, and all renewable energy; solar panels convert its light into electricity.
The Sun loses mass at a rate of about 4 million tons per second due to radiation and the solar wind, but even over billions of years this will amount to a minuscule fraction of a percent.
| r_H | variable | Hill sphere radius — length metre |
| a | variable | semi-major axis — length metre |
| m | variable | mass of the smaller body — mass kilogram |
| M | variable | mass of the central body — mass kilogram |
| ∛ | operator | cube root operation — cube root |

















