  Recent observations and detections of interstellar objects (ISOs) passing
through the solar system have sparked a wave of interest into these objects.
Although rare, these ISOs can be captured into bound orbits around the Sun. In
this study, we investigate the novel idea of capture of ISOs into near-Earth
orbits and find that a steady population of ISOs exists among the current
population of Near Earth Objects (NEOs). Using numerical simulations, we find
that the capture of ISOs into near-Earth orbits is dominated by Jupiter which
is $10^4\times$ more efficient in capturing ISOs compared to Earth. Captured
ISOs are more likely to be in orbits with high eccentricities and low
inclinations. We also investigate the stability of captured ISOs and find that
they are generally unstable and have an average survival life time of $\sim 1$
Myr, consistent with lifetime of NEOs originating from outer asteroid belt, and
are ejected from the solar system due to interactions with other planets or the
Sun. Our results have important implications for understanding the population
of ISOs in the solar system and possible future detection. We find that about
one to a few $50-70$ m sized captured ISOs among NEOs would be detectable by
LSST over its lifetime. By detecting and studying captured interstellar
objects, we can learn about the properties and origins of such objects, and the
formation and evolution of exoplanetary systems and even our solar system.
