## An Introduction to the Theory of Newtonian Attraction |

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### Contents

PRELIMINARY MATHEMATICS | 1 |

GRAVITATIONAL ATTRACTION AND | 20 |

ATTRACTION AND POTENTIAL | 45 |

Copyright | |

4 other sections not shown

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### Common terms and phrases

astronomical unit attracting matter attracting particles axes axis body boundary centre of gravity closed surface co-ordinates coefficients components of attraction const cos2 cylinder denotes the mass differentiating distribution of matter dV/dn ellipsoid ellipticity equal equipotential surfaces exert expression external point Find the potential finite Gauss's theorem given grad gravitational constant Green's function Green's theorem harmonic function Hence homogeneous infinite sphere internal Laplace's equation layer London Univ mass per unit oblate spheroid outward flux parallel perpendicular points inside Poisson's equation potential energy potential function Prove region bounded resultant attraction right angles semi-axes Shew solid angle solid harmonic solution of Laplace's space sphere of radius surface density surface harmonics surface integrals tangent plane tion uniform circular uniform density uniform solid sphere uniform sphere unit area unit length unit mass vanishes vector vertex volume density volume integrals zero