  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.

Earth and Planetary Astrophysics;Instrumentation and Methods for Astrophysics