The Natario warp drive appeared for the first time in 2001.Although the idea of the warp dive as a spacetime distortion to travel faster than light predated the Natario work by 7 years Natario introduced in 2001 the new concept of a propulsion vector to define or to generate a warp drivespacetime.Natario defined a warp drive vector for constant speeds in Polar Coordinates but remember that a real warp drive must be defined in a tridimensional spacetime because a real spaceship is a tridimensional object inserted inside a tridimensional warp bubble that must be defined in real tridimensional coordinates. In this work we present the new warp drive vector in tridimensional3D Spherical Coordinates for constant speeds.One the major drawbacks concerning warp drives is the problem of the Horizons(causally disconnected portions of spacetime) in which an observer in the center of the bubble cannot signal nor control thefront part of the bubble.The behavior of a photon sent to the front of the warp bubble in the case of a Natario warp drive with constant velocity and a lapse function is also one of the main purposes of this work.We present the behavior of a photon sent to the front of the bubble in the Natario warp drive in the 1+1 and 3+1 spacetimes with and without the lapse function using quadraticforms and the null-like geodesics $ds^2=0$ of General Relativity and the ADM(Arnowitt-Dresner-Misner) formalism equations with the approach of MTW(Misner-Thorne-Wheeler) and Alcubierre.