极坐标科学中的积分功能

Question

For example, I have a function, defined in polar coordinates, it may be something like this:

r = a*b/sqrt((b*cos(f)^2) + (a*sin(f))^2) 
# ellipse in polar coordinates,
# when center of ellipse is polus 
# and bigger axis is polar axis
# f is angle, r is distance

How can I find, for example,length of ellipse line in sciPy?

Great thanks in advance.

Answer 1

Seems like you want to calculate an arc length . If you are only looking at ellipses, the solution is known and you could utilize SciPy's scipy.special.ellipeinc() or SymPy's elliptic_k() function.

If you are interested in a more general approach, the choice of your integration scheme may vary depending on the properties of your functions.