A position determining system that includes a spherical inertial sensor
assembly, at least one position determining device and a processor is
provided. The spherical inertial sensor assembly has a surface with a
reference pattern. Each position determining device includes a focal
plane configured to record images of the reference pattern and star
images. The processor is configured to determine the angular position of
the spherical inertial sensor assembly via recorded images of the
reference pattern and correlate the determined angular position based on
the star images.