Posted by **Kayla** on Thursday, March 1, 2012 at 9:19pm.

I am not sure how to convert my Cartesian xyz-coordinates into meters.

x = 0.666

y = 0.666

z = 0.327

a = 6,377,563.396 meters

b = 6,356,256.910 meters

- Math -
**MathMate**, Thursday, March 1, 2012 at 10:15pm
If you are working with an ellipsoid with a=b>c, where

a=b=6,377,563.396 (towards the equator)

c=6,356,256.910 (towards the poles)

then

x=acos(u)cos(v)

y=acos(u)sin(v)

z=csin(u)

where -π/2≤ u ≤π/2

and -π≤ v ≤π

So from the known values of x,y and z, solve for u and v.

But I am not sure what you need in metres.

See:

http://en.wikipedia.org/wiki/Ellipsoid

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