In this paper, we review some of the extant literature on the study of
interstellar objects (ISOs). With the forthcoming Vera C. Rubin Telescope and
Legacy Survey of Space and Time (LSST), we find that 0.38−84 `Oumuamua-like
interstellar objects are expected to be detected in the next 10 years, with
95\% confidence. The feasibility of a rendezvous trajectory has been
demonstrated in previous work. In this paper, we investigate the requirements
for a rendezvous mission with the primary objective of producing a resolved
image of an interstellar object. We outline the rendezvous distances necessary
as a function of resolution elements and object size. We expand upon current
population synthesis models to account for the size dependency on the detection
rates for reachable interstellar objects. We assess the trade-off between
object diameter and occurrence rate, and conclude that objects with the size
range between a third of the size and the size of `Oumuamua will be optimal
targets for an imaging rendezvous. We also discuss expectations for surface
properties and spectral features of interstellar objects, as well as the
benefits of various spacecraft storage locations.Comment: 17 pages, 10 figures; accepted for publication in Journal of
Astronomical Instrumentatio