How to evaluate the area covered by a spherical rectangle, having length & width (each as a great circle arc) of 18 & 6 units respectively, on a spherical surface with a radius 50 units? any help is highly appreciated. thanks in advance.......
How to evaluate the area covered by a spherical rectangle, having length & width (each as a great circle arc) of 18 & 6 units respectively, on a spherical surface with a radius 50 units? any help is highly appreciated. thanks in advance.......
Hey hcrajpoot.
There are a few ways you could do this. You could use vector calculus results or you could deform the solid using a co-ordinate transformation and get the boundary in Euclidean space.
Here is an idea of the first method:
Pauls Online Notes : Calculus III - Surface Integrals