## On the motion of a satellite in an asymmetrical gravitational field |

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absolute angular velocity analytical form arguments artificial satellite ASYMMETRICAL GRAVITATIONAL FIELD auxiliary satellite basic angles central body Coefficients consideration cos2 cOSm deduced from Equation developed in anticipation disturbed eccentric anomaly disturbing force dt dt earth's potential electronic computers ellipse elliptical Equations 66 Equations 9 Eulerian angles extended over longer follows from Equations form of trigono geoid grad Xm h a0 Horner scheme introduced iteration linear long-period terms machine matrix mean elements mean motion metric series modified disturbing function nm m nm node numerical values nutation obtain oj2 sin 9 osculating orbit plane perturbations position vector precession previous theory produce radius-vector real satellite rectangular coordinates Reference replacement operation rigidly connected satellite with respect series with numerical sin2 system X taking Equations tesseral harmonics theory presented trigonometric series unit vector velocity of rotation W-FUNCTION zonal harmonics