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RX J0806.3+1527 is an ultra-compact, double degenerate binary with theshortest known orbital period (321.5 s). Hakala et al. (2003) have recentlyreported new optical measurements of the orbital frequency of the source whichindicate that the frequency has increased over the ~9 years since the earliestROSAT observations. They find two candidate solutions for the long term changein the frequency; df/dt = 3 or 6 x 10E-16 Hz/s. Here we present the results ofa phase coherent timing study of the archival ROSAT and Chandra data for RXJ0806.3+1527 in the light of these new constraints. We find that the ROSAT --Chandra timing data are consistent with both of the solutions reported byHakala et al., but that the higher df/dt = 6.1 x 10E-16 Hz/s solution isfavored at the ~97 % level. Such a large df/dt can be accomodated by an ~1 Msundetached double degenerate system powered in the X-ray by electrical energy (Wuet al. 2002). With such a large df/dt the system provides a unique opportunityto explore the interaction of gravitational radiation and electromagnetictorques on the evolution of an ultracompact binary.Comment: AASTeX preprint, 13 pages, 3 Figures. Accepted for Publication in the  Astrophysical Journal Letter

Phase Coherent Timing of RX J0806.3+1527 with ROSAT and Chandra