The Moon
Full Moon on the 7th, rising at 10pm setting at 3.45am
Last Quarter on the 15th rising at 12.42am setting at 12.39pm
New Moon on the 22nd rising (?) at 3.34am setting at 9.53pm
First Quarter on the 29th rising at 1.41pm setting at 12.06am
This means the Moon will be with us the first half of the month leaving the second half to deep sky observers. But the nights are almost too short (7 hours between sundown and sunup, with twilights either side of an hour and a half too), to do much anyway, other than observe the Moon and clusters, fuzzies will be very difficult, though taking pictures is still possible.
Planets. Saturn is still the only planet worth a look in the evenings but it sets on the 1st by 2am-ish, and by month's end will be down by midnight, so make your observations while you can. Count its moons, you should be able to see up to 7 in transparent skies with good seeing, and a good telescope, like ours at Austerfield.
All the other planets are only visible in the east just before dawn. The first up, at 1.30am on the 1st, is very bright and eyecatching Jupiter, with tiny Neptune half a degree away. You'll need good binoculars at least, to see Jupiter's Galilean moons, and a good telescope to see blue Neptune.
Next up is Uranus at 2.20am, a telescope item this low in the sky, blue like Neptune, but larger. Then come very bright Venus, even brighter than Jupiter, rising at 3.15am, with very small Mars, 5° to the left. Finally Mercury at 4.23am, with the Sun just behind at 4.42am. They'll maintain this general relationship all month and should all be observable all month in suitable skies, with the exception of Mercury, which is too close to the Sun to use optical aids to seek. All, except Venus and Jupiter, will need a telescope or good binoculars to see. Charts available if you email me (observatory) at www.donastro.org.uk.
Meteor showers. There are several peaking in June but all have rates of about 5/hour at best, so aren't any better than sporadics except for the unreliable Aeirids. Unfortunately their radiant is very close to the Sun, which means they'll be coming from below the northern horizon during the night. A maximum of 50 can be expected but they are very variable, year to year.
Comets. Comet 22P/Kopff is forecast to get bright enough to be seen in binoculars (mag 8), and if so, can be seen 2° directly above Jupiter in the mornings of the first week of June. It tracks to the left slowly till by the 30th it is 10° away. Comet C/2009 F6 (Yi-SWAN) is a little fainter at Mag 9 and can be seen, just, in the middle of Auriga, and will be up all night.
What else? The Summer Triangle is well up now, with the Milky Way running through it, and though this area is good to see, the best part is to be seen this month and next, further south, below the Triangle. The constellations of Scutum, Sagittarius, Ophiuchus, Serpens and Scorpius, contain the centre and brightest parts of our galaxy, millions and millions of stars, thousands and thousands of lightyears away. The majority of Monsieur Messier's list of non-comets is there too, Nebulae, Open clusters and Globular clusters. Unfortunately, for us, living so far north, this area is only seen in high summer, low in the south and when the nights are shortest and lightest. We should all spend these months under the dark skies of Namibia, where, they say, the Milky Way is bright enough to read by! Perhaps an exaggeration, but photographs of it will fire your imagination.
Satellites. The International Space Station isn't easily visible from Doncaster during June.
Iridium flares
1st at 22:22:52 43° up, in the NE - Bright
2nd at 22:16:53 44° up, in the NE - Bright
4th at 01:53:10 18° up, in the NNW - Very Bright
6th at 22:02:00 53° up, in the NE - Bright
7th at 21:55:59 52° up, in the NE - Bright
8th at 23:26:14 19° up, in the NNE - Brighter
More details available on www.heavens-above.com