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Odd Zonal Harmonics in the Earth's Gravitational Potential, determined from Fourteen Well Distributed Satellite Orbits

Abstract

THE zonal harmonics in the Earth's gravitational field indicate its variations with latitude, averaged over all longitudes. The odd zonal harmonics, of degree 3, 5, 7, …, specify that part of the gravitational field which is not symmetrical about the equator and gives rise to the “pear-shape” effect.

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References

  1. O'Keefe, J., Eckels, A., and Squires, R. K., Science, 129, 565 (1959).

    Article  ADS  CAS  Google Scholar 

  2. Newton, R. R., Hopfield, H. S., and Kline, R. C., Nature, 190, 617 (1961).

    Article  ADS  Google Scholar 

  3. Kozai, Y., Smithsonian Astrophys. Obs. Spec. Rpt., 101 (1962).

  4. Smith, D. E., Planet. Space Sci., 11, 789 (1963).

    Article  ADS  Google Scholar 

  5. Guier, W. H., and Newton, R. R., Johns Hopkins Univ. App. Phys. Lab. Rpt. TG 634 (1964).

  6. Kozai, Y., Publ. Astronom. Soc. Japan, 16, 263 (1964).

    ADS  Google Scholar 

  7. King-Hele, D. G., Cook, G. E., and Scott, D. W., Planet Space Sci., 13, 1213 (1965).

    Article  ADS  Google Scholar 

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KING-HELE, D., COOK, G. & SCOTT, D. Odd Zonal Harmonics in the Earth's Gravitational Potential, determined from Fourteen Well Distributed Satellite Orbits. Nature 212, 271–272 (1966). https://doi.org/10.1038/212271b0

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