Results 1 to 2 of 2

Math Help - XYZ Coordinate on Sphere. Known Info: Radius, latitude, longitude

  1. #1
    Newbie
    Joined
    Sep 2010
    Posts
    2

    XYZ Coordinate on Sphere. Known Info: Radius, latitude, longitude

    Title says it all. I need to find the x,y,z coordinate on the surface of a sphere where the origin is 0,0,0 at the center of the sphere. The known information is the radius, latitude, and longitude.

    I'm not sure where to start with this.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Aug 2012
    From
    Oxford, UK
    Posts
    36
    Thanks
    2

    Re: XYZ Coordinate on Sphere. Known Info: Radius, latitude, longitude

    If \theta is the longitude and \phi is the latitude, the coordinate transformations are similar to if you were using spherical polar coordinate convention.

     x = R \cos{\theta} \cos{\phi}

     y = R \cos{\theta} \sin{\phi}

     z = R \sin{\theta}

    The difference between geographic convention (G) and spherical polar convention (SP) is in the definition of \theta. In G, this angle takes on the value 0 at the equator, 90 at the north pole and -90 at the south pole. In SP theta has 0 at the north pole and increases to 180 at the south pole. The difference in the transformations is that \sin{\theta} and \cos{\theta} are switched between conventions.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Calculating Latitude/Longitude from Matrix3D rotations
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: April 15th 2010, 11:09 PM
  2. Converting Matrix3D rotations to Latitude Longitude
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: April 15th 2010, 04:52 PM
  3. latitude and longitude question
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: March 7th 2008, 03:35 AM
  4. [SOLVED] Latitude & Longitude on the surface of the Earth
    Posted in the Geometry Forum
    Replies: 2
    Last Post: August 8th 2007, 10:58 AM
  5. Latitude Longitude Distance Alteration
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 24th 2007, 07:43 AM

Search Tags


/mathhelpforum @mathhelpforum