Gaussian year

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File:Carl Friedrich Gauss 1840 by Jensen.jpg
Carl Friedrich Gauss

A Gaussian year is defined as 365.2568983 days.[1] It was adopted by Carl Friedrich Gauss as the length of the sidereal year in his studies of the dynamics of the Solar System. A slightly different value is now accepted as the length of the sidereal year,[2] and the value accepted by Gauss is given a special name.

A particle of negligible mass, that orbits a body of 1 solar mass in this period, has a mean axis for its orbit of 1 astronomical unit by definition. The value is derived from Kepler's third law as

1 Gaussian year=2πk

where

k is the Gaussian gravitational constant.[3]

See also

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References

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