# Geographical location using Spherical Coordinate system

• May 12th 2012, 09:53 AM
karrotsrkool
Geographical location using Spherical Coordinate system
Hi, this is a really complex maths problem and being from the UK I have no idea what level of maths this is so I guessed university. I drew a picture:
Attachment 23847
Given point $C= (x_1, y_1, z_1)$ and [tex]P= (x_0, y_0, z_0)[/itex] then $$ is a vector from the center of the sphere to C and so is normal to the sphere and a tangent plane at C. That means that we can write the equation of the plane as $(x_1- x_0)(x- x_0)+ (y_1-y_0)(y- y_0)+ (z_1-z_0(z- z_0)= 0$. Now, you say that M is a point on that tangent plane and it "coordinates" are known. But to give 3D coordinates, we would have to know what the coordinate system on that planeis and how it is connected to the three dimensional coordinate system.