Hello,
this is not normal, when SPHERICAL COORDINATES = YES, you just tell that your mesh is given in a Mercator projection, the program will retrieve the latitude from the coordinates in the mesh, to solve the spherical equations. A negative determinant means that an element is not well oriented, i.e. points 1,2 and 3 of the element go around the element clockwise. According to the previous post by Martin Serrer, Blue Kenue gives well oriented elements, so this should not happen. Please note that when you give a mesh with a Mercator projection, you have also keywords : LATITUDE OF ORIGIN POINT and LONGITUDE OF ORIGIN POINT, the projection is supposed to be done around this point, maybe it is your problem.
Regards,
Jean-Michel Hervouet