  We present a baseline science operations plan for the Black Hole Explorer
(BHEX), a space mission concept aiming to confirm the existence of the
predicted sharp ``photon ring" resulting from strongly lensed photon
trajectories around black holes, as predicted by general relativity, and to
measure its size and shape to determine the black hole's spin. BHEX will
co-observe with a ground-based very long baseline interferometric (VLBI) array
at high-frequency radio wavelengths, providing unprecedented high resolution
with the extension to space that will enable photon ring detection and studies
of active galactic nuclei. Science operations require a simultaneous
coordination between BHEX and a ground array of large and small radio apertures
to provide opportunities for surveys and imaging of radio sources, while
coordination with a growing network of optical downlink terminals provides the
data rates necessary to build sensitivity on long baselines to space. Here we
outline the concept of operations for the hybrid observatory, the available
observing modes, the observation planning process, and data delivery to achieve
the mission goals and meet mission requirements.
