Wednesday, March 9, 2016
tan180 and atan180
The orbit calculation in the last blog used some nonstandard tangent and inverse tangent functions defined on the interval [0,π] or [0°,180°]. They reduce the conversion of the eccentric anomaly to the true anomaly to a single step and simplify the definition of the true anomaly, θ(t).
Both definitions are one-to-one as the following check shows.