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One of the most famous variable stars in the entire sky, and possibly the most observed, is a faint star named SS Cygni. It's an excellent example of a dwarf nova -- a type of star that regularly (every few weeks) brightens almost 50 times in just a few hours. Once it brightens, it remains at peak brightness for a day or so before gradually falling back to its normal faint state.
Normally at a magnitude of around +12, it brightens to about +8 on an irregular schedule (typically once every month or two). Even with significant light pollution, observers with an 8 inch telescope will be able to observe it throughout its variations. Experienced observers, or people with good, dark skies, will probably be able to follow it continuously with a 4 inch telescope. At maximum SS Cygni will be visible even with small binoculars -- it is not far below the naked-eye limit under dark skies when it's at its brightest.
Suggestion: Along with these charts, download AAVSO finder charts for SS Cygni. Although the charts I give are adequate for finding, the AAVSO charts have comparison star magnitudes and a generally lower magnitude limit (around +12.5 in the vicinity of SS Cygni).
AAVSO "b" scale (3° wide; finder or very low power)
AAVSO "d" scale (1° wide; low-to-medium power in small scopes)
Be aware that the AAVSO charts are rotated 180°, so that south is at the top, to match the view in a typical telescope. The finder charts below have north at the top.
The easiest way to find SS Cygni is to start at Rho Cygni, a 4th magnitude star often visible from places with moderate light pollution, particularly when Cygnus is high (late summer and fall evenings are good from the United States and other mid-northern-latitude locations):
Once you've found Rho, it's a fairly simple star hop to SS Cygni. There's a very conspicuous pattern of 8th and 9th magnitude stars near Rho that looks a little like an oddly bent hockey stick. You should be able to follow the "stick" in your finder from all but the most light-polluted sites. Even if you can't find it in the finder, if you have a smallish scope, or one with a very wide field of view, you can try following it at low power. I've had little trouble finding it with 55x in a 10" reflector. At the very end of the "blade" of the "hockey stick" is a bright (5th magnitude) star. Once you have that star in your field of view, you'll be able to hop to SS Cygni's home, a triangle of 9th and 10th magnitude stars.
Once you've found the triangle where SS Cygni is, you'll probably want to get out the AAVSO "d" scale chart. The "triangle" has 3 stars (magnitudes 8.5, 9.6, and 9.9) with SS Cygni just inside one of the sides of the triangle. Normally, SS Cygni will be much dimmer than the three "triangle" stars; during a typical minimum it will be closer to the magnitude 11.8 and 12.3 stars inside the triangle. During a maximum it will outshine the corner stars!
So, go outside and find out what SS Cygni is up to tonight!