How do kepler's laws of planetary motion relate to newton's law of universal gravitation?
Universal gravitation is what governs and explains planetary motion.
To give an example, the Earth orbits the Sun because the Sun exerts a strong gravitational pull on Earth, but Earth moves so fast on a perpendicular path to the Sun that it "escapes" from falling into it. Nevertheless, Earth's velocity and gravitational force are still present, so Earth orbits the Sun at a distance that is proportionate to the force of gravity and the speed at which Earth moves.
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Kepler's laws of planetary motion describe the orbits of celestial bodies, while Newton's law of universal gravitation explains the force acting between two masses. Newton's law, applied to Kepler's laws, demonstrates that the gravitational force between a celestial body and the Sun follows an inverse square relationship, influencing the shape and characteristics of planetary orbits.
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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.
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.
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.
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.
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