Orbit parameters for several satellites, obtained on the basis of Doppler observations with gravity parameters through (n, m) = (7, 6), yielded residuals of fit which showed a periodic error with an amplitude of 100 to 150 meters and a period of 2.5 to 5.5 days. Analysis of the residuals, which agree in period with the beat period between the orbit period and 1/m times the earth's rotational period relative to the plane of the orbit, yielded values for the gravity coefficients corresponding to (n, m) = (15, 13), (13, 13), and (15, 14).
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R. J. Anderle (1965) studied this question.