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- W1987670688 abstract "Coefficients of the odd zonal harmonics in the Earth's gravitational potential—J3, J5, J7, etc.—are evaluated by analysing the variations in orbital eccentricity of 22 satellites, chosen to give the widest and most uniform possible distribution in semi major axis and inclination. These satellites provide 22 simultaneous equations for the coefficients J3, J5, etc., and the equations are solved by the least-squares method for sets of coefficients of successively higher order. The solutions show that J9 may be taken as zero, and that, for 9 < n < 33, the odd Jn do not differ significantly from zero unless n is a multiple of 3. Consequently J11, J13, J17, J19, J23, J25, J29 and J31 can be taken as zero, and it is feasible to carry the solutions to harmonics of much higher degree than was previously possible. The best representation of the odd zonal harmonics in the geopotential is provided by the following set of values: 106J3 = −2·54 ± 0·01 106J5 = −0·21 ± 0·01 106J7 = −0·40 ± 0·01 106J15 = −0·20 ± 0·03 106J21 = 0·26 ± 0·05 106J27 = −0·15 ± 0·10 J9 = J11 = J13 = J17 = J19 = J23 = J25 = J29 = J31 = 0." @default.
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- W1987670688 date "1969-04-01" @default.
- W1987670688 modified "2023-09-25" @default.
- W1987670688 title "Evaluation of odd zonal harmonics in the geopotential, of degree less than 33, from the analysis of 22 satellite orbits" @default.
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- W1987670688 doi "https://doi.org/10.1016/0032-0633(69)90185-8" @default.
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