Digital Cameras also can do this. For most purposes, a 15 second exposure will not show any star trails, but WILL show you the constellations. With a digital camera, however, you can manipulate the image on a PC to bring out the details that you ordinarily would not see. My Kodak DX4330 only takes a maximum of 4 second exposures, enough to bring out the brightest stars and planets only, but because it's still very sensitive, I use Photoshop or sometimes just the Kodak standard software (Easyshare) to enhance the image, by increasing the exposure on the PC.
If you are lucky, you can capture an image of a satellite or a meteor. Even passing aircraft can add an interesting element to such a photograph.
TRACKING: If you want to capture a photograph which shows nebulae, or the stars without star trails, then you need to counteract the rotation of the Earth. For that, you need an equatorial mount, such as you see on many telescopes, or you can build what is called a "barn door" mount (example here)
Star Trails.
NGC 4755, the "Jewel Box" in Crux.
Omega Centauri, a globular cluster in Centaurus
METHOD: Meade ETX105, Kodak DX4330, Televue adapter, 30mm Eyepiece, 4 second exposure. This image was enhanced by brightening in Photoshop, then converted to grayscale. Click on the image for a larger view, and you can see the structure of the globular cluster starting to appear.
M41, Cluster in Canis Major
METHOD:Meade ETX105, Kodak DX4330, Televue adapter, 30mm Eyepiece, 4 second exposure. This image was enhanced by brightening in Photoshop.Click on the image for a larger view.
Mu Scorpii
Mu Scorpii is a double star in Scorpio
METHOD: Meade ETX 105, LPI, LPI Austostar suite (software). LPI imaging software was set to take images of 6 seconds duration.
The resulting image was then enhanced in Photoshop to bring out the two very dim stars (which are not part of the double star system)
Click on the picture for a larger view.

M42, The Great Nebula in Orion. This was an astonishing shot for me. I used a Meade LX200 telescope at an aboservatory, and this is a FOUR SECOND EXPOSURE!!!!. I enhanced the shot in Photoshop by adjusting the levels to bring out the detail, but look at the nebulosity! Imagine what can be done with a longer exposure.
METHOD: Meade LX200, Kodak DX4330, Televue adapter, 30mm Eyepiece, 4 second exposure, Photoshop.
This image needs a bit of explanation. 3 days after getting my new DX7630, I mounted the camera to the top of the telescope (not through the eyepiece). I was so excited about this, I couldn't wait to try it out. So I took it into my front yard, pointed the scope at Sagittarius, and took a 64 second exposure, With the scope in roughly Polar alignment.
So this is what came out. The noise in the image is from all the ambient light, but I'm so happy with this image, I just had to put it up.
All of the dark bands of the dust clouds of the galaxy are real, and the bright nebula can be seen. Click on the image for a larger (but still not full sized image). I used Photoshop to brighten the image
METHOD: Kodak DX7630, mounted to Meade ETX105 in polar mode, 64 second exposure at f/2.8, ISO 200, Photoshop.
This image is of 47 Tucana, a globular cluster containing thousands of stars, in Tucana, a constellation in the Southern Hemisphere.

METHOD: Kodak DX7630, Meade LX200 Televue adapter, 30mm Eyepiece, 64 second exposure at f/2.8, ISO 100, Photoshop.