  HD 100453AB is a 10+/-2 Myr old binary whose protoplanetary disk was recently
revealed to host a global two-armed spiral structure. Given the relatively
small projected separation of the binary (1.05", or ~108 au), gravitational
perturbations by the binary seemed to be a likely driving force behind the
formation of the spiral arms. However, the orbit of these stars remained poorly
understood, which prevented a proper treatment of the dynamical influence of
the companion on the disk. We observed HD 100453AB between 2015-2017 utilizing
extreme adaptive optics systems on the Very Large Telescope and Magellan Clay
Telescope. We combined the astrometry from these observations with published
data to constrain the parameters of the binary's orbit to a=1.06"+/-0.09",
e=0.17+/-0.07, and i=32.5+/- 6.5 degrees. We utilized publicly available ALMA
CO data to constrain the inclination of the disk to i~28 degrees, which is
relatively co-planar with the orbit of the companion and consistent with
previous estimates from scattered light images. Finally, we input these
constraints into hydrodynamical and radiative transfer simulations to model the
structural evolution of the disk. We find that the spiral structure and
truncation of the circumprimary disk in HD 100453 are consistent with a
companion-dirven origin. Furthermore, we find that the primary star's rotation,
its outer disk, and the companion exhibit roughly the same direction of angular
momentum, and thus the system likely formed from the same parent body of
material.
