I would like a list of ways highly accurate to solve the equation:(adsbygoogle = window.adsbygoogle || []).push({});

E - e * sin(E) = M

I can solve this with the Newton Method:

M = 2*pi/3

e = 0.002

E = pi

d = 0.01

Do While SQRT(d^2) > 0.000001

d= (E - e * sin(E) - M) / (1 - e * cos(E))

E = E + d

Loop

This is not very accurate.

Is there some sort of trigonometric expansion or infinite series that would be more accurate?

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# List of ways to highly accurately solving a mixed equation

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