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New Evaluation of Odd Zonal Harmonics in the Geopotential

Abstract

IN 1966 we determined the coefficients of the odd zonal harmonics in the Earth's gravitational potential from an analysis of fourteen satellite orbits1, chosen to give the widest and most uniform possible coverage in inclination to the equator and semi major axis. We found quite large values for the fifteenth and twenty-first harmonic coefficients, J15 and J21 in the usual notation1. This indicated the need to carry the evaluation to coefficients of still higher order.

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References

  1. King-Hele, D. G., Cook, G. E., and Scott, D. W., Planet. Space Sci., 15, 741 (1967).

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  2. King-Hele, D. G., Cook, G. E., and Scott, D. W., RAE Tech. Rep. 68202 (1968).

  3. Kozai, Y., Publ. Astro. Soc. Japan, 16, 263 (1964).

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KING-HELE, D., COOK, G. & SCOTT, D. New Evaluation of Odd Zonal Harmonics in the Geopotential. Nature 219, 1143–1144 (1968). https://doi.org/10.1038/2191143a0

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