- #1
Will Flannery
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- 36
- TL;DR Summary
- Kepler's equation is M = E - e*sinE
According to wiki "Kepler's equation is a transcendental equation because sine is a transcendental function, meaning it cannot be solved for E algebraically. Numerical analysis and series expansions are generally required to evaluate E."
However in the paper "A Solution of Kepler's Equation" by Tokis we read " Solution of the universal Kepler’s equation in closed form is obtained with the help of the two-dimensional Laplace technique, ... "
Kepler's equation is M = E - e*sinE
According to wiki - Kepler's equation - "Kepler's equation is a transcendental equation because sine is a transcendental function, meaning it cannot be solved for E algebraically. Numerical analysis and series expansions are generally required to evaluate E."
However in the paper "A Solution of Kepler's Equation" by Tokis we read " Solution of the universal Kepler’s equation in closed form is obtained with the help of the two-dimensional Laplace technique, ... "
I have an MS in math, but ... Tokis' paper is beyond me. Can anyone clarify the situation?
Tokis' paper is also available as a pdf at A Solution of Kepler's Equation
According to wiki - Kepler's equation - "Kepler's equation is a transcendental equation because sine is a transcendental function, meaning it cannot be solved for E algebraically. Numerical analysis and series expansions are generally required to evaluate E."
However in the paper "A Solution of Kepler's Equation" by Tokis we read " Solution of the universal Kepler’s equation in closed form is obtained with the help of the two-dimensional Laplace technique, ... "
I have an MS in math, but ... Tokis' paper is beyond me. Can anyone clarify the situation?
Tokis' paper is also available as a pdf at A Solution of Kepler's Equation