A Gaussian year is defined as 365. 2568983 days. A day (symbol d is a unit of Time equivalent to 24 Hours and the duration of a single Rotation of planet Earth with respect to the It was adopted by Carl Friedrich Gauss as the length of the sidereal year in his studies of the dynamics of the solar system. Johann Carl Friedrich Gauss (ˈɡaʊs, Gauß Carolus Fridericus Gauss ( 30 April 1777 – 23 February 1855) was a German The sidereal year is the time taken for the Sun to return to the same position with respect to the Stars of the Celestial sphere. 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 astronomical unit ( AU or au or au or sometimes ua) is a unit of Length based on the distance from the Earth to the The value is derived from Kepler's third law as

$\mbox{1 Gaussian year}= \frac {2\pi} {k} \,$

where

k is the Gaussian gravitational constant. In Astronomy, Kepler's Laws of Planetary Motion are three mathematical laws that describe the motion of Planets in the Solar System. Carl Friedrich Gauss expressed the Gravitational constant in units of the Solar system rather than SI units