Relationships:
                                    (1)  vs = [vr2 + vt2]½,

                                  *(2)  vt [km/s] = r [km] × µ [rad/s],  or,  vt [km/s] = 4.74 × r [pc] × µ ["/yr].

                                    (3)  vr [km/s] = c [km/s] Δλ / λ0 .

 

      *vt[km/s] = r[km]×µ[rad/s]= r[pc]×(3.0857×1013 km/pc)×µ["/yr]/(206265 "/rad ×3.1557×107s/yr) = 4.7406 × r[pc] × µ["/yr].