The Laplace limit for solving Kepler's equation (opens in new tab)

The previous post discussed how to solve Kepler’s equation M = E − e sin(E) using a sine series. You could also solve Kepler’s equation using a power series, which Lagrange did in 1771. Both approaches express E as a function of e and M, but from different perspectives. Bessel though of his solution as a sum of sines in M, […] The post first appeared on .