You have to follow the star, using photometric techniques to measure its class, brightness, amplitude and period. This kind of work can take a year but can be very exciting and enjoyable. Hunting new asteroids is a common task among minor planet observers and gives us lots of satisfaction. Generally, the discoveries are made while you are observing a previously known asteroid which needs more observations in order to calculate a more accurate orbit. While analyzing the images, you can find another object in the same field and, as in my case, it may be an undiscovered object.
Astronomy is certainly a fun and interesting science.
It is the only one where amateurs can make discoveries with modest or inexpensive instruments. The only thing you need is a lot of passion. It is perhaps the only thing that will successfully fend off the cold winter nights and other difficulties.