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Sphere in Spherical Coordinates

  1. Nov 2, 2008 #1
    Looking for the equation in spherical coordinates and the spherical equation with the unit vectors:
    Frr + FӨӨ + FØØ = constant

    The equation is:

    x^2 + y^2 + z^2 = r^2

    is the equation for a sphere radius = r centered at the origin. What is the cartesian equation?

    x*x + y*y + z*z = r ?

    What is the sphere in spherical coordianates?

    r*cosӨ*sinØ*r + r*sinӨ*sinØ /(r*sin)*Ө + r*cosØ/r*Ø = Constant ?


    r*cosӨ*sinØ*r + sinӨ*Ө + cosØ*Ø =Constant ?
  2. jcsd
  3. Nov 2, 2008 #2


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    Science Advisor

    What you gave before WAS the Cartesian equation. I can't make any sense of the equation you give here because the left side of the equation is a vector while the right side is a number.

    The equation of the sphere you gave before, with center at (0,0,0) and radius r, in spherical coordinates is, of course, [itex]\rho= r[/itex].
    Again, your "vector equation" is setting a vector equal to a number.
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