Kepler's Law vs Newton's Amendment

In summary, the speaker has a question about a relationship written in a YouTube video about center of mass. The relationship is dm = d(M)/(m+M), which comes from the definition of center of mass. The notation used in the video may be causing confusion, as 'dm' represents the distance from the center of mass to the small mass m and d(M) represents M multiplied by the distance between the masses d.
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scottshannon said:
She writes a relationship at 4 min which is

dm=d(M)/(m+M).
That comes from the definition of center of mass. Perhaps her notation is confusing you. She uses 'dm' to represent the distance from the center of mass to the small mass m; d(M) represents the large mass M times the distance between the masses d.
 

1. What are Kepler's Laws and Newton's Amendment?

Kepler's Laws refer to three scientific laws that describe the motion of planets around the sun, proposed by German astronomer Johannes Kepler in the 17th century. Newton's Amendment, also known as Newton's Law of Universal Gravitation, is a physical law that explains the force of gravity between two objects, proposed by English scientist Sir Isaac Newton in the 18th century.

2. How are Kepler's Laws and Newton's Amendment related?

Kepler's Laws and Newton's Amendment are related in that Kepler's Laws describe the motion of planets due to the force of gravity, which is explained by Newton's Amendment. Kepler's Laws provide a mathematical description of planetary motion, while Newton's Amendment provides a physical explanation for this motion.

3. Which one is more accurate, Kepler's Laws or Newton's Amendment?

Both Kepler's Laws and Newton's Amendment are accurate in their own domains. Kepler's Laws accurately describe the motion of planets around the sun, but they do not explain the underlying cause of this motion. Newton's Amendment, on the other hand, accurately explains the force of gravity between objects, including planetary motion.

4. Can Kepler's Laws and Newton's Amendment be used interchangeably?

No, Kepler's Laws and Newton's Amendment cannot be used interchangeably. While they are related, they describe different aspects of planetary motion and cannot be used to replace each other. Kepler's Laws describe the motion of planets, while Newton's Amendment explains the force that causes this motion.

5. How have Kepler's Laws and Newton's Amendment impacted our understanding of the universe?

The combination of Kepler's Laws and Newton's Amendment has greatly impacted our understanding of the universe. They have allowed us to accurately predict the motion of planets and other celestial bodies, and have helped us understand the force of gravity and its role in the universe. This understanding has led to advancements in fields such as astronomy, space exploration, and engineering.

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