What does it mean to say Kepler's laws are empiracle in nature?

Answer 1

We can see them simply by observation, not by mathsy magic.

Something is empirical if you can simply observe it occurring in your environment; you are not required to use a lot of equations to deduce the cause or mechanism of the event.

Conversely, something that is rational indicates that it has been determined or inferred.

An empirical example would be the transparency of a glass of water, or the planets' orbits around stars.

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Answer 2

Levi Anderson

Kepler's laws are empirical because they are based solely on observational data rather than derived from theoretical principles or mathematical equations. They describe the motion of planets around the sun based on observations made by Johannes Kepler without being derived from any underlying theory.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.