Newton's Estimates of Object Masses & Distances

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In summary: Newton's laws still work even if the orbiting body is much more massive than the central body. So, for example, he could estimate the mass of the sun by measuring the size of the orbit and estimating the mass of the Earth. However, the reverse is not true: if the central body is much more massive than the orbiting body, the size and shape of the orbit will depend on the mass of the orbiting body.
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exmarine
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How did Newton estimate or know the masses of various objects, like the earth, moon, sun, etc., in order to check his equations? And how about the distances, say to the moon, and sun?

Thanks.
 
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Niklas Koppernigk 1473 - 1543
Johannes Kepler 1571 - 1630
Issac Newton 1643 -1727
Bernard of Chartres (around 1100) used to say that "we [the Moderns] are like dwarfs perched on the shoulders of giants [the Ancients], and thus we are able to see more and farther than the latter."

Science never takes place in a vacuum. There have been scientists before and there will be after. In this special case, e.g. Kepler's laws have already been know.
 
  • #3
exmarine said:
How did Newton estimate or know the masses of various objects, like the earth, moon, sun, etc., in order to check his equations? And how about the distances, say to the moon, and sun?
Thanks.

He didn't know the masses. Nobody knew these values until Henry Cavendish performed the Cavendish Experiment and measured the value of G in about 1797, more than 50 years after Newton died. Before that, only the product GM was known. This is why the Cavendish Experiment is sometimes referred to as "weighing the Earth". The distances were known, at least approximately. Even the ancient Greeks had a decent estimate of the size of the Earth and the distances to the Sun and Moon.
 
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How did Newton estimate or know the masses of various objects, like the earth, moon, sun, etc., in order to check his equations? And how about the distances, say to the moon, and sun?

As long as the orbiting body is much less massive than the central body (e.g. the Moon about the Earth to a fair approximation; any planet about the sun) the size and shape of the orbit don't depend on how massive the lighter body is.
 

1. How did Newton estimate the mass of objects?

Newton used his law of universal gravitation to estimate the mass of objects. This law states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

2. Did Newton estimate the distances of objects in the same way as their masses?

No, Newton used different methods to estimate the distances of objects. For celestial objects, he used observations of their orbits and the laws of motion to calculate their distances. For objects on Earth, he used geometry and trigonometry to measure their distances.

3. Why was Newton's estimation of object masses and distances significant?

Newton's estimations were significant because they provided a foundation for understanding the laws of gravity and the motion of objects. They also helped scientists make more accurate predictions and calculations in the fields of astronomy, physics, and engineering.

4. Are Newton's estimates still used today?

While Newton's estimates have been refined and improved upon over time, they are still used as the basis for many calculations and experiments in modern science. However, with advancements in technology, we are now able to make more accurate measurements and estimations of object masses and distances.

5. How did Newton's estimations contribute to our understanding of the universe?

Newton's estimations, along with his laws of motion and gravitation, contributed to our understanding of the universe by providing a framework for explaining how objects move and interact with each other. They also paved the way for future scientific discoveries and advancements in fields such as astronomy, physics, and engineering.

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