## An introduction to the theory of Newtonian attraction |

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### Contents

PRELIMINARY MATHEMATICS | 1 |

GRAVITATIONAL ATTRACTION | 20 |

ATTRACTION AND POTENTIAL | 45 |

4 other sections not shown

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### Common terms and phrases

astronomical unit attracting matter attracting particles axis body boundary centre of gravity circular disc closed surface co-ordinates coefficients components of attraction const denotes the mass differentiating distance distribution of matter ellipsoid ellipticity equal equilibrium equipotential surfaces exert expression external point Find the potential finite frustum Gauss's theorem given grad 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 thin homoeoid thin spherical shell tion uniform density uniform solid sphere uniform sphere unit area unit length unit mass vanishes vector vertex volume density volume integrals zero