1. The map showed positions of the proportional to the north polar angular distance . 2. The central angle is also known as the arc's angular distance . 3. As the angular distance from the guide star increases, the image quality degrades. 4. That is : linear distance = radius ?angular distance . 5. Despite its relatively large angular distance , direct imaging is problematic due to the star planet contrast. 6. All other 1st magnitude stars are closer than that angular distance to another 1st magnitude star. 7. All the planets in the Solar System except greatest angular distance from the Sun is only about 28? 8. This is then subtracted from 90?to obtain the angular distance from the position directly above, the zenith. 9. Tycho preferred observing the angular distance between the sun and Venus when the latter was visible in the daytime. 10. This angular distance metric can then be used to compute a similarity function bounded between 0 and 1, inclusive.