Imagine the Earth takes longer to complete one revolution. How would that affect a solar day? A sidereal day?

Sidereal time is time kept with respect to the distant stars.

A solar day lasts from when the Sun is on the meridian at a point on Earth until it is next on the meridian. A solar day is exactly 24 hours (of solar time). Because of the Earth's revolution, a solar day is slightly longer than a sidereal day. In every day life, we use solar time.

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your body is trying to warm itself up. or more precisely, sensors in your skin send messages to your brain to generate heat to your body.