The brightest “star” over Tromsø tonight is not a star at all: it's Jupiter, about a third of the way up in the south before dawn. You can also see Venus, Mars and Saturn. It's dark enough for stars from about 16:42.
Rises into view in the south-east around 06:43 and stays until dawn washes it out. Best at 07:23: 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 22:28 and stays until dawn washes it out. Best at 06:18: about a third of the way up in the south, 3 fists above the horizon.
Look east as the sky darkens. Visible until 02:03. Best at 21:03: low in the sky in the south, 2 fists above the horizon.
Rises into view in the north-east around 22:28 and stays until dawn washes it out. Best at 05:33: about a third of the way up in the south, 4 fists above the horizon.
In view from 17:48 to 05:28. Best at 00:38: about halfway up in the south, 4 fists above the horizon. You'll need binoculars or a small telescope and a dark sky.
In view from 17:58 to 23:13. Best at 20:38: low in the sky 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, 11° from the Sun.
Where to find them at 17:22, once the sky is dark.
It's most likely the planet Jupiter. It is about a third of the way up in the south and visible from 22:28 until dawn. Planets shine with a steady light, while stars twinkle.
Venus (from 06:43 until dawn), Mars (from 22:28 until dawn), Jupiter (from 22:28 until dawn) and Saturn (after sunset until 02:03). With binoculars or a telescope you can also find Uranus and Neptune.
The Sun sets at 14:03. The brighter stars and planets come out by 15:25, and the sky is properly dark from about 16:42. Full astronomical darkness begins at 17:51.
The Moon is a New Moon, 0% illuminated. It doesn't rise tonight.
Calculated for Monday 9 November at 69.64°N, 18.99°E. Times are local to Tromsø.