The stars positions are essentially fixed around the solar system and do don't change position relative to it the way a planet does however. These rays which determine the houses are not equal in size and are not necessarily 30 degrees wide. The Zodiac signs are sectors of space with the field of stars in them. Zodiac signs are always 30 degrees of arc in size adding up to the 360 degrees of the 12 Zodiac signs. DO NOT mistake the Zodiac signs for the stars themselves.
Stars do move albeit very slowly.
Zodiac signs do not move they are fixed sectors in space. If you looked at the western horizon where the sun will set that day the stars of Gemini would be located there. As the earth rotates the ring of stars goes around full circle once every 24 hours due to the earth's rotation. Next we will deal with the numbers 1 through 12 on the inner area on the circle . Each house has to do with a distinct department of life.