The Natario warp drive appeared for the first time in 2001.Although the idea of the warp dive as a spacetime distortion that allows a spaceship 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 drive spacetime.Natario defined a warp drive vector for constant speeds in Polar Coordinates using the Hodge Star but Polar Coordinates uses only two dimensions and we know that a real spaceship is a 3D object inserted inside a 3D warp bubble that must be defined in real 3D Spherical Coordinates. In this work we present the alternative warp drive vector in 3D Spherical Coordinates without the Hodge Star for constantspeeds.Our alternative warp drive vector also satisfies the Natario requirements for a warp drive spacetime.One the major drawbacks concerning warp drives is the problem of theHorizons(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 the alternative 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 alternative Natariowarp drive in the 3+1 spacetime with and without the lapse function using quadratic forms and the null-like geodesics $ds^2=0$ of General Relativity and the ADM(Arnowitt-Dresner-Misner) formalism equations with the approachof MTW(Misner-Thorne-Wheeler) and Alcubierre.