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Second Magnetic Constant (Markarian Constant)

The Second Magnetic Constant, also known as the Markarian Constant (Km), is a physical constant used to calculate the equatorial magnetic field strength of planets. This constant, introduced by Armen Markarian, shows a direct relationship between a planet's equatorial magnetic field strength and its orbital and equatorial velocities, mass, axial tilt, dipole tilt, orbital inclination, surface area, and semi-major axis.

The formula for calculating the magnetic field B at the equator of a planet is as follows:Where:

   B — Magnetic field strength of the planet at the equator, or equivalent magnetic field at the equator (Tesla).
   V_e — Equatorial rotational speed of the planet (km/h).
   V_o — Average orbital velocity of the planet (km/h).
   m — Mass of the planet (kg).
   ΔΦ — Sum of angles, including the tilt of the rotation axis relative to the orbital plane, the tilt of the dipole axis to the rotation axis, and the inclination of the planet’s orbit relative to the ecliptic (degrees).
   S — Surface area of the planet (km²).
   R_s — Mean distance from the planet to the Sun (km), equivalent to the semi-major axis.

The K_M value for Earth is 3.581936752070983×10223.581936752070983×1022 kg·°/km·h²·Tesla.

This formula provides a reliable basis for calculating the equatorial magnetic field strength of planets in the Solar System, and potentially in other planetary systems. By applying this formula, scientists gain deeper insights into planetary magneto spheres and their influence on surrounding environments.

[1] [2]

References

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  1. ^ "Second Magnetic Constant". ESS Open Archive. Retrieved 28 October 2024.
  2. ^ "Second Magnetic Constant". Harvard ADS Abstract. 2021. Retrieved 28 October 2024.