A student is assessing a parallel$-$shaft gearset consisting of a $17-$tooth helical pinion driving a $35-$tooth gear. The pinion has a left$-$hand helix angle of $28,$ a normal pressure angle of $20,$ and a normal module of $4$ mm $.$

Answer the following questions:

$(1)$ Find the normal, transverse, and axial circular pitches, and the transverse pressure angle;

$(2)$ Find the transverse module, the pitch diameters of the two gears, and the shaft centre distanc.