A Gaussian year
is defined as 365.2568983 days
. 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,
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
- k is the Gaussian gravitational constant.