Rootfinding for a transcendental equation without a first guess: Polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine

2007 ◽  
Vol 57 (1) ◽  
pp. 12-18 ◽  
Author(s):  
John P. Boyd
Keyword(s):  
Chebyshev Polynomial ◽  
Transcendental Equation ◽  
Polynomial Expansion ◽  
Kepler's Equation ◽  
Kepler’S Equation

Solution of Kepler’s Equation with Machine Precision

2020 ◽  
Vol 64 (12) ◽  
pp. 1060-1066
Author(s):  
M. K. Abubekerov ◽  
N. Yu. Gostev
Keyword(s):  
Machine Precision ◽  
Kepler's Equation ◽  
Kepler’S Equation

The solution of Kepler's equation, II

1983 ◽  
Vol 31 (3) ◽  
pp. 317-328 ◽  
Author(s):  
T. M. Burkardt ◽  
J. M. A. Danby
Keyword(s):  
Kepler's Equation ◽  
Kepler’S Equation

A note on ?Kepler's equation?

1997 ◽  
Vol 51 (1) ◽  
pp. 59-65 ◽  
Author(s):  
Jacques Dutka
Keyword(s):  
Kepler's Equation ◽  
Kepler’S Equation

Sequential solution to Kepler’s equation

2010 ◽  
Vol 108 (1) ◽  
pp. 59-72 ◽  
Author(s):  
Jeremy J. Davis ◽  
Daniele Mortari ◽  
Christian Bruccoleri
Keyword(s):  
Kepler's Equation ◽  
Kepler’S Equation ◽  
Sequential Solution
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