  The clock time t' of an accelerating observer, simultaneous with the measured
clock time t of an inertial observer,is easily established in special
relativity (as proper time) by the well-known time-dilation formula for t'(t).
In this work, a special-relativity formula t(t') for an initial observer's
clock time t, simultaneous with a traveler's measured clock time t', is derived
and applied successfully to various relevant situations. The equation for t(t')
requires knowledge only of the velocity profile v(t') of the traveler.
