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Gauss the constant

one of fundamental astronomich. of the constants (it is designated by k). It is initially determined k. By Gauss as the approximate value of square root of by the gravitational constant k2, the entering the formula two-body problem (in the celestial mechanics):

(1)

which connects the masses of sun ms , the Earth tt Moon mL with the period of revolution of R of system the Earth- Moon on elliptich. to orbit around the sun and with the semimajor axis and of this orbit, moreover the mass of the sun and semimajor the axis indicated and Gauss assumed as the units of mass and length, and as the unit of time - mean solar days. With the accepted in its time values R and relation mt/ms, tL/tt Gauss found:

This value k (which is considered precise) enters into contemporary system of fundamental astronomich. of constants and NAZ of Gaussian constant (or g. p.). The unit of distance, which corresponds to this value of k and to formula (1), when the ephemeral twenty-four hours (see time), are the unit of time, NAZ. by astronomical unit (AU). The latter differs somewhat from the semimajor axis and of the orbit of system the Earth - Moon, which in accordance with formula (1) and contemporary meanings R, mt/ms, mL/tt is 1,000000 032 a. e. Yu.A.Ryabov.

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