An exact analytical solution of Kepler's equation |
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| Authors: | C. E. Siewert E. E. Burniston |
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| Affiliation: | (1) Dept. of Nuclear Engineering, North Carolina State University, Raleigh, N.C., USA;(2) Dept. of Mathematics, North Carolina State University, Raleigh, N.C., USA |
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| Abstract: | Complex-variable analysis is used to develop an exact solution to Kepler's equation, for both elliptic and hyperbolic orbits. The method is based on basic properties of canonical solutions to appropriately posed Riemann problems, and the final results are expressed in terms of elementary quadratures. |
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