## The Nature of the Orbits of Satellites of an Oblate Earth |

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### Contents

Chapter Page I Introduction | 1 |

A Limited Solution 8 | 3 |

A Broader Solution | 22 |

2 other sections not shown

### Common terms and phrases

absence of drag amplitudes and incommensurable angle measured arbitrary constant assumed assumption central body close to zero colatitude convergent coordinate system cos(+-p cos(M-M cos1 cos2 cuts the equatorial defined degree per revolution degrees per day differential equations earth's axis northward earth's center elliptic functions elliptic integrals equations of motion equatorial orbit equatorial plane esc2 exact solution fixed in direction Fourier series fourth order solution gravitational field gravitational potential independent variable infinite infinities King-Hele large number Latta and Weisfeld Legendre polynomial longitude major axis maximum latitude attained mean value OBLATE EARTH oblate primary obtained orbital period orbital plane order unity Oxyz precession of perigee r2 sin2 radial distance radius vector satellite sec a 3in second order solution secular change secular variation sin(cp small eccentricities solve spherical coordinates spherical earth spherical homogeneous terms of elliptic third order solution usual perturbation procedures valid varies