If you are hoping to see Comet Lovejoy, there is still time. Here is where and how. I posted my photo of Comet Lovejoy from Monday January 12 here. The next night of January 13, my brother-in-law Dave, about 200 miles east of me, posted his photo of Lovejoy on Facebook. What is interesting is how much the comet moved in 24 hours. I superimposed the two photos and aligned the stars visible in each. The actual distance across the sky is about the width of a full moon, or the width of your thumb seen with your arm extended. Lovejoy will not be staying in our neighborhood for long. And, it will be getting dimmer as it departs from the sun.
Dave and I used a single time exposure to obtain our images. Many amateur and professional astronomers have equipment and software that allows them to overlay multiple time exposures. This stacking process can bring out details and evidence of motion. You can see many excellent examples by viewing the daily gallery updates at Spaceweather. The animated gif below shows a sequence of 21 images, each 2 minutes in exposure time. More photographic details by clicking the linked image.
Subtle and beautiful wispy details can be seen in many images. A good example is this one. Click on the linked image for photographic and equipment details and a much larger view. The large view shows the evidence for thirty 90 sec exposures used to make this composite.
Last evening, after Dave posted his picture, Melanie and I went out armed with our Astroscan telescope. It was 7˚F. We needed to be quick. Within 10 minutes, we viewed Lovejoy, the Orion Nebula, and Jupiter with the 4 Galilean moons all aligned closely on one side like this simulation from my free Stellarium desktop software. It was a fine night.