  We present a simple novel method for determining the orbital parameters of
binary pulsars. This method works with any sort of orbital sampling, no matter
how sparse, provided that information on the period derivatives is available
with each measurement of the rotational period of the pulsar, and it is
applicable to binary systems with nearly circular orbits. We use the technique
to precisely estimate the hitherto unknown orbital parameters of two binary
millisecond pulsars in the globular cluster 47 Tucanae, 47 Tuc S and T. The
method can also be used more generally to make first-order estimates of the
orbital parameters of binary systems using a minimal amount of data.
