By considering a boundary value problem of Laplace's differential equation, we construct a gravitational potential function for an oblate spheroid using Newton's law of universal gravitation. We construct this function by retaining only four terms of an absolutely convergent series. The first of these four terms is the contribution due to a sphere while the other three terms contain coefficients which are functions of the oblateness of the spheroid.
Proceedings of the Iowa Academy of Science
© Copyright 1962 by the Iowa Academy of Science, Inc.
Huehn, Kempton L.
"Newtonian Gravitational Potential For An Oblate Spheroid,"
Proceedings of the Iowa Academy of Science: Vol. 69:
, Article 66.
Available at: https://scholarworks.uni.edu/pias/vol69/iss1/66