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Gaussian year
 
 
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A Gaussian year is defined as 365.2568983 day
Day

A day is a units of measurement of time equivalent to approximately 24 hours. It is not an International System of Units unit but it is accepted for use with SI....
s. It was adopted by Carl Friedrich Gauss
Carl Friedrich Gauss

Johann Carl Friedrich Gauss. was a Germans mathematician and scientist who contributed significantly to many fields, including number theory, statistics, mathematical analysis, Differential geometry and topology, geodesy, electrostatics, astronomy and optics....
 as the length of the sidereal year
Sidereal year

The sidereal year is a misnomer for solar orbit. It is the time taken for the Sun to return to the same position with respect to the stars of the celestial sphere....
 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
Astronomical unit

An astronomical unit is a unit of length based on the mean distance from the Earth to the Sun. The precise value of the AU is currently accepted as 149,597,870,691 Plus-minus sign 6 metres ....
 by definition.






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A Gaussian year is defined as 365.2568983 day
Day

A day is a units of measurement of time equivalent to approximately 24 hours. It is not an International System of Units unit but it is accepted for use with SI....
s. It was adopted by Carl Friedrich Gauss
Carl Friedrich Gauss

Johann Carl Friedrich Gauss. was a Germans mathematician and scientist who contributed significantly to many fields, including number theory, statistics, mathematical analysis, Differential geometry and topology, geodesy, electrostatics, astronomy and optics....
 as the length of the sidereal year
Sidereal year

The sidereal year is a misnomer for solar orbit. It is the time taken for the Sun to return to the same position with respect to the stars of the celestial sphere....
 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
Astronomical unit

An astronomical unit is a unit of length based on the mean distance from the Earth to the Sun. The precise value of the AU is currently accepted as 149,597,870,691 Plus-minus sign 6 metres ....
 by definition. The value is derived from Kepler's third law
Kepler's laws of planetary motion

In astronomy, Kepler's three laws of planetary motion are*"The orbit of every planet is an ellipse with the sun at a Focus ."*"A line joining a planet and the sun sweeps out equal areas during equal intervals of time."...
 as

where

k is the Gaussian gravitational constant
Gaussian gravitational constant

Carl Friedrich Gauss expressed the gravitational constant in units of the solar system rather than SI units. The benefit is that the motion of the planets can be accurately described, without exact knowledge of the scale of the solar system or the masses of the Sun and planets expressed in mundane units like those of the SI system....
.


See also


  • Astronomical unit
    Astronomical unit

    An astronomical unit is a unit of length based on the mean distance from the Earth to the Sun. The precise value of the AU is currently accepted as 149,597,870,691 Plus-minus sign 6 metres ....