The magnetic field of the Sun, including its poles, dynamo, and influence on solar wind.The solar magnetic field is the Sun's large-scale magnetic structure, generated by the motion of conductive plasma in its interior. It governs solar activity, including sunspots, flares, and coronal mass ejections, and shapes the heliosphere—the bubble of solar wind that surrounds the solar system. The field's polarity reverses roughly every 11 years in a cycle tied to the solar dynamo, a self-sustaining process that converts kinetic energy of plasma flows into magnetic energy.
The cyclic nature of sunspots was discovered by Samuel Heinrich Schwabe in 1843, and the magnetic character of sunspots was established by George Ellery Hale in 1908. The modern dynamo theory was developed in the mid-20th century by Eugene Parker and others.
The solar dynamo operates through differential rotation (the equator spins faster than the poles) and turbulent convection in the outer layers. These motions stretch, twist, and amplify magnetic field lines, creating the observed patterns of sunspot pairs and the cyclic reversal of the poles. The field extends outward as the solar wind, carrying magnetic flux into interplanetary space and interacting with planetary magnetospheres.
Understanding the solar magnetic field is crucial for predicting space weather, which can disrupt satellites, power grids, and GPS systems.
The Sun's magnetic field is so strong that it can accelerate charged particles to near-light speeds, producing solar energetic particles that reach Earth in minutes.
| F | variable | Force on the sail — force newton |
| A | variable | Area of the sail — area square metre |
| s | variable | Poynting flux (power per unit area) of incident light — irradiance watt per square metre |
| v | variable | Speed of the sail relative to the light source — velocity metre per second |
| c | constant | Universal constant, speed of light in vacuum — speed of light = 299792458 metre per second |
| \cdot | operator | Product of quantities — multiplication |
| \frac{1 - v/c}{1 + v | operator | Ratio of reflected to incident photon energy and rate — doppler factor squared |
| A | variable | Sunrise azimuth angle — azimuth angle radian |
| φ | variable | Latitude of observer — latitude radian |
| δ | variable | Solar declination — solar declination radian |
| arccos | operator | Inverse cosine function — arccosine |
| tan | operator | Tangent function — tangent |
| τ | variable | Torque on the magnetic dipole — torque newton metre |
| B | variable | Magnetic field strength — magnetic field strength tesla |
| E | variable | magnetic energy of the moment — energy joule |
| \boldsymbol{\mu} | variable | magnetic dipole moment — magnetic dipole moment ampere square metre |
| \mathbf{B} | variable | magnetic field — magnetic field tesla |
| \cdot | operator | takes the scalar product of two vectors — dot product |
| B | variable | Magnetic field strength — magnetic field strength tesla |
| v | variable | Characteristic velocity of plasma flow — velocity metre per second |
| ρ | variable | Mass density of the plasma — mass density kilogram per cubic metre |
| √ | operator | Takes the square root of the argument — square root |











