Latitude Maps

Latitude longitude from a point in a sphere?

x,y,z the coords of the point how can i find longitude and latitude of that point (degrees)

Public Comments

1. For latitude, you first have to define an equatorial plane. Then latitude is define as the angle subtended from the point to the center of the sphere and from the center of the sphere to the projection of the point onto the equatorial plane: http://nationalatlas.gov/articles/mapping/a_latlong.html Similarly, for longitude we need a "prime meridian" which gets a longitude of 0. For any point, its longitude is the angle subtended by its projection on the equatorial plane with the line on the equatorial plane whigh is the projection of the prime meridian. Suppose the equatorial plane is the plane z = 0. Then the projection of the point <x, y, z> on the equatorial plane is just <x, y, 0> so the latitude is arc sin (z / sqrt(x^2 + y^2 + z^2)) If the prime meridian is then defined by y = 0 and x > 0, then the longitude become arc cos (x / sqrt(x^2 + y^2))