  The Legacy Survey of Space and Time (LSST) at Vera C. Rubin Observatory will
deliver high-quality, temporally-sparse observations of millions of Solar
System objects on an unprecedented scale. Such datasets will likely enable the
precise estimation of small body properties on a population-wide basis. In this
work, we consider the possible applications of photometric data points from the
LSST to the characterisation of Jupiter-family comet (JFC) nuclei. We simulate
sparse-in-time lightcurve points with an LSST-like cadence for the orbit of a
JFC between 2024-2033. Convex lightcurve inversion is used to assess whether
the simulation input parameters can be accurately reproduced for a sample of
nucleus rotation periods, pole orientations, activity onsets, shapes and sizes.
We find that the rotation period and pole direction can be reliably constrained
across all nucleus variants tested, and that the convex shape models, while
limited in their ability to describe complex or bilobed nuclei, are effective
for correcting sparse photometry for rotational modulation to improve estimates
of nucleus phase functions. Based on this analysis, we anticipate that LSST
photometry will significantly enhance our present understanding of the
spin-state and phase function distributions of JFC nuclei.
