When is New Year for aliens?

New Year's resolutions are so difficult to keep up. A year lasts 365 days, and that's an awfully long time to go without chocolate or bickering with relatives. Aliens, if they exist, may have quite different attitudes to New Year's promises. That's because some planets have much shorter years than Earth's, while others are vastly longer. So depending where the extraterrestrials live, they might find their resolutions easy to keep – or impossibly difficult.
Why the drastic difference in year lengths?
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