The brightest “star” over Fairbanks tonight is not a star at all: it's Jupiter, about halfway up in the south before dawn. You can also see Venus, Mars and Saturn. It's dark enough for stars from about 6:01 pm.
Rises into view in the south-east around 7:06 am and stays until dawn washes it out. Best at 8:06 am: very low, just above the horizon in the south-east, one fist above the horizon. It stays low, so you need an open view with no buildings or trees in the way.
Rises into view in the north-east around 12:01 am and stays until dawn washes it out. Best at 7:21 am: about halfway up in the south, 4 fists above the horizon.
Look east as the sky darkens. Visible until 3:16 am. Best at 10:11 pm: about a third of the way up in the south, 3 fists above the horizon.
Rises into view in the north-east around 12:01 am and stays until dawn washes it out. Best at 6:31 am: about halfway up in the south, 4 fists above the horizon.
Look east as the sky darkens. Visible until 6:31 am. Best at 1:41 am: about halfway up in the south, 5 fists above the horizon. You'll need binoculars or a small telescope and a dark sky.
Look south-east as the sky darkens. Visible until 1:01 am. Best at 9:41 pm: about a third of the way up in the south, 2 fists above the horizon. You'll need binoculars or a small telescope and a dark sky.
Too close to the Sun to see right now. It is lost in the glare, 12° from the Sun.
Where to find them at 6:41 pm, once the sky is dark.
It's most likely the planet Jupiter. It is about halfway up in the south and visible from 12:01 am until dawn. Planets shine with a steady light, while stars twinkle.
Venus (from 7:06 am until dawn), Mars (from 12:01 am until dawn), Jupiter (from 12:01 am until dawn) and Saturn (after sunset until 3:16 am). With binoculars or a telescope you can also find Uranus and Neptune.
The Sun sets at 4:01 pm. The brighter stars and planets come out by 5:00 pm, and the sky is properly dark from about 6:01 pm. Full astronomical darkness begins at 6:58 pm.
The Moon is a Waxing Crescent, 1% illuminated. It doesn't rise tonight and moonset at 2:14 pm.
Calculated for Monday 9 November at 64.84°N, 147.71°W. Times are local to Fairbanks.