The Gaussian year reference article from the English Wikipedia on 24-Apr-2004
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Gaussian year

A Gaussian year lasts 365.2568983 days.

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 the 3rd law of Kepler as

where k is the Gaussian gravitational constant.

See also astronomical unit.

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