One sphere with radius $R$, named big sphere, two points on it: $a (\text{(longitude)}_a, \text{(latitue)}_a), b(\text{(longitude)}_b, \text{(latitude)}_b)$, $\text{distance}\space (a,b)=r$, $a$ is center & $r$ is radius. There is another sphere, named little sphere. Now what is the equation of circle of the intersection of two spheres?
Parametric equation of the circle: $\text{longitude}=f(xx), \text{latitude}=g(xx)$
[Math] The equation of a circle on sphere
circlesgeometry
Best Answer
This (calculating the equation of the circle intersection between two spheres) will probably help.