An explicit solution of the Kepler equation is expressed in terms of the Lambert hyperfunction. Calculation of this function,
for example, by making use of the Maple software package, enables one to efficiently obtain the numerical solution of the
Kepler equation.
PACS numbers 02.30.Gp - 02.60.Cb - 95.10.Ce
Original Russian Text © A.E. Dubinov, I.N. Galidakis, 2007, published in Pis’ma v zhurnal Fizika Elementarnykh Chastits i
Atomnogo Yadra, 2007, No. 3 (139), pp. 365–370.