Posted by Dimebag on August 10, 2016 at 06:09:57:
In Reply to: Find the angle from Inverse involute function posted by Manoj Kumar Vijay on August 10, 2016 at 01:24:00:
In 1992 [Harry Cheng]2 proposed a derivation of an explicit solution of the inverse involute function where (inv f) is known and the angle (f) is to be found. Using the "asymptotic" series f(f) = inv-1(ff), the explicit equation becomes:
Where (q) = Tan(f) - f
f = (3q)1/3 - (2q)/5 + (9/175) (3)2/3 (q)5/3 - (2/175) (3)1/3 (q)7/3 - (144/67375) (q)3 + (3258/3128125) (3)2/3 (q)11/3 - (49711/153278125) (3)1/3 (q)13/3...........