Study up on standard telescope mounts. There are many types but they all fall into
Azimuth-Elevation movement, or Equatorial Movement. You need to understand both.
The standard Dobsonian uses Azimuth-Elevation motion. This i cheap to build and does not require any angled pipes or
heavy pieces. The Dob telescope sits on top of a rotating Azimuth (AZ) table. The AZ table top can only rotate horizontally
left and right. The telescope tube an rotate in Elevation (EL) up and down on top of the Dob box.
This AZ motion will not track stellar object as they appear to move across the the sky. The Dob has to be
moved in both AZ and EL, to track a star. This is a difficult thing to do by hand and by automated motors.
The best type of telescope mounts are the Equatorial type. This mount has two axis that are perpendicular to each other.
One of the axis, Right Ancession (RA) or North Polar Axis, points near the North Polar Star, which is the Earths Rotation
axis. The other telescope axis is called Declination since it only moves up and down the sky from +90 to -90 degrees.
The RA axis of your equatorial telescope will track the east-west motion of the stellar objects. So all you have to do once
you fine your object in the eyepiece is move the telescope Westward to compensate for the Earths rotation Eastward.
This is a very easy method of tracking the heavenly objects. This is used by most all the telescopes less than 200" in diameter.
So, your mission should you choose to accept it, is to design a method to tilt the Dobsonian AZ-EL mount up on its side
at the latitude of your position on the earth so that the AZ axis is now converted into a North Polar RA axis.
Good designing and assembly.