Parts of the west could experience fog in the morning and there were chances of showers Tuesday evening and Wednesday, he said.
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Conditions would be mostly clear from Thursday, with a maximum average of 20 degrees forecast for the rest of the week.
On the other side of the Wednesday solstice, the sun will set a little later each day.
However, with a one-minute shift every two days, the sunset will continue to be before 5pm until mid-July.
The sunrise, which will be at 6:59 on Tuesday, will finally be at 7:01 in the first week of July before it starts to occur a little earlier each day.
In Hobart, Tuesday will be almost an hour less than in Sydney, with only nine hours of light.
Some parts of Antarctica experience only two hours of light during the solstice, while the South Pole will not see the sun until September.
While the southern hemisphere is experiencing the shortest day of the year, the northern hemisphere will have its longest day.
Helsinki will have about 18 hours and 55 minutes of daylight, while the cities in the far north of Norway will experience 24 hours of daylight.