Eric:<br /><br />An object DOES remain constant in RA and DEC coordinates. Here's how:<br /><br />Declination is measured from Earth's polar axis. Since the north star is approximately along this axis, we can think of it as a measurement from the north star. The rotation and revolution of the Earth doesn't change what direction the axis is pointing in, so the "rotation of the sky" is a rotation that goes around the north star. If you've ever seen pictures of star circles, you'll know what I mean -- all stars "orbit" in circles around our axis. It should be obvious that at least Declination stays the same.<br /><br />Right Ascension is a little bit trickier, because there is an arbitrary circle set through the heavens that indicates R.A. of zero, like the Prime Meridean in Greenwich. All RA coordinates are referenced to this. Now as the earth rotates, this reference rotates as well, so while it is NOT accurate to say that a star will appear in the same spot in the sky at all times, it IS accurate to say that it will always be the same distance from that reference, and that therefore its RA will be the same.<br /><br />Incidentally, you have an Equilaterally mounted telescope, so you are capable of finding things in RA-DEC coordinates. Here are the steps you need to go though, keeping in mind that you (like me) do not have the most expensive telescope, so precision of the setting circles and mount machinery may be somewhat low.<br /><br />1) Polar align your telescope. There are many sites talking about how to do this. It involves levelling your mount, setting declination to 90, setting your latitude adjuster correctly, and pointing your telescope directly along Earth's axis.<br /><br />2) Using your RA and DEC controls only, find a bright object whose coordinates you know, and check its RA coordinate. Set your RA circle to zero. Then move your RA control so that your RA circle registers the difference between the RA coordinates of the bright object you found and th