  With the inception of gravitational wave astronomy, astrophysical studies
using interferometric techniques have begun to probe previously unknown parts
of the universe. In this work, we investigate the potential of a new
interferometric experiment to study a unique group of gravitationally
interacting sources within our solar system: binary asteroids. We present the
first study into binary asteroid detection via gravitational signals. We
identify the interferometer sensitivity necessary for detecting a population of
binary asteroids in the asteroid belt. We find that the space-based
gravitational wave detector LISA will have negligible ability to detect these
sources as these signals will be well below the LISA noise curve. Consequently,
we propose a 4.6 AU and a 1 AU arm-length interferometers specialized for
binary asteroid detection, targeting frequencies between $10^{-6}$ and
$10^{-4}$ Hz. Our results demonstrate that the detection of binary asteroids
with space-based gravitational wave interferometers is possible though very
difficult, requiring substantially improved interferometric technology over
what is presently proposed for space-based missions. If that threshold can be
met, an interferometer may be used to map the asteroid belt, allowing for new
studies into the evolution of our solar system.
