Gravitational and Related Constants for Accurate Space Navigation

Gravitational and Related Constants for Accurate Space Navigation. The paper first compares the Gaussian gravitational constant, k s , and the astronomical unit with the cgs value of G and the meter, showing that the latter two are valueless for heliocentric orbits. For geocentric orbits a quasi-Gaussian geocentric gravitational constant, k e , is determined from the equatorial acceleration of gravity, g e , the equatorial radius, a e , the flattening, f, and the related coefficients, J and K, of the second and fourth harmonics in the potential of the terrestrial ellipsoid, after improved values of these data are ascertained and adopted: $$\begin{array}{*{20}{l}} {{g_e} = 9.780,368(1 + g' + \frac{1}{3}f')meters/{{\sec }^2}}&{g' = 0\pm 3 \times {{10}^{ - 6}}}\\ {{a_e} = 6,378,270(1 + a' + \frac{4}{3}f')meters}&{a' = 0\pm 10 \times {{10}^{ - 6}}}\\ {f = + 0.003,367,00 + f'}&{f' = 0\pm 4 \times {{10}^{ - 6}}}\\ {J = + 0.001,638,08 + f'}&{K = + 9.04 \times {{10}^{ - 6}}} \end{array}$$

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