What are asymptotes?
An asymptote of a curve is a line such that the distance between the curve and the line approaches to zero as one or both of the x or y co-ordinates tends to infinity. Asymptotes makes some angle with the real axis and this angle can be called the angle of asymptotes. In the expression to calculate the angle of asymptotes, k=0,1,2,3.....(P-Z-1).
Here, P=number of poles in root locus
Z= number of zeros in root locus
How to Calculate Angle of Asymptotes?
Angle of Asymptotes calculator uses Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes)) to calculate the Angle of Asymptotes, Angle of Asymptotes is defined as the angle at which an asymptote is oriented at from the positive real axis. It is usually calculated in radians but can be converted into degrees as well. Angle of Asymptotes is denoted by ϕ_{k} symbol.
How to calculate Angle of Asymptotes using this online calculator? To use this online calculator for Angle of Asymptotes, enter Number of Poles (N) & Number of Zeroes (M) and hit the calculate button. Here is how the Angle of Asymptotes calculation can be explained with given input values -> 5.834386 = ((2*(modulus(13-6)-1)+1)*pi)/(modulus(13-6)).