This note gives the gravitational potential of the disk {(x, y, z):x2+y2≤p2, z=0} and the gravitational field at the point (x, y, z). Formulas for a ring can be obtained as the difference of our… Expand

The following table lists the definite and indefinite integrals of products of exponential integrals with elementary or transcendental functions that have been found in the literature.Expand

Integrals of products of error functions with other functions are presented, taking into account a combination of the error function with powers, a combination of the error function with exponentials… Expand

The study of several candidate methods for the symbolic integration of a class of irrational expressions R(x,y), where y2 is a polynomial in x and R is a rational function of x and y is described.Expand

A survey of the use of a combination of symbolic and numerical calculations is presented and it is contended that other less obvious topics such as the fast Fourier transform, linear algebra, nonlinear analysis and error analysis would also benefit from a synergistic approach.Expand

An efficient algorithm is presented for the solution of Kepler's equationf(E)=E−M−e sinE=0, wheree is the eccentricity,M the mean anomaly andE the eccentric anomaly. This algorithm is based on simple… Expand