Possible to derive an approximation of G from a Saros ?

In summary, the conversation discusses the possibility of using Saros periodicity to approximate the gravitational constant, G. However, it is not possible to do so without an independent way to estimate the mass of objects. Changing the mass and G in orbital mechanics does not affect the results, except for the need for an independent mass estimate. This information was discovered while studying ancient calendars and Newton's work.
  • #1
Isaacsname
63
9
I recently read a paper titled : " The Saros cycle: obtaining eclipse periodicity from Newton's laws "

My question is, more or less: " Is it possible to obtain an approximation of G by observing Saros periodicity ? "

I'm currently studying the derivations of the Lunar , Solar, and Stellar calendars, dating back to Babylonian / Chaldean / Sumerian astronomy, and was curious about this after discovering something intriguing in Newton's work

Thanks,
Isaac
 
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  • #2
If you scale up all masses by a factor of 2 and reduce G by a factor of 2, nothing changes in orbital mechanics (neglecting general relativity). You cannot, unless you have an independent way to estimate the mass of objects - but then you don't need Saros cycles, then the simple orbital period is sufficient.
 
  • #3
OK, thanks for the answer
 

Related to Possible to derive an approximation of G from a Saros ?

1. Can an approximation of G be derived from a Saros?

Yes, it is possible to derive an approximation of G from a Saros, which is a period of approximately 18 years and 11 days that is used in astronomy to predict eclipses.

2. How is G related to the Saros cycle?

G, also known as the gravitational constant, is related to the Saros cycle through the gravitational force between two objects. The gravitational force is dependent on the masses of the objects and the distance between them, which is affected by the Saros cycle.

3. What is the process of deriving an approximation of G from a Saros?

The process involves using the known values of the masses and distances of celestial bodies involved in a Saros cycle to calculate the gravitational force between them. This force can then be used to derive an approximation of G using the equation F = Gm1m2/d^2, where m1 and m2 are the masses and d is the distance between the two objects.

4. Is the approximation of G from a Saros accurate?

The approximation of G from a Saros is not as accurate as the value of G determined through laboratory experiments. This is due to uncertainties in the masses and distances of the celestial bodies involved in the Saros cycle. However, it can provide a good estimate for G in astronomical calculations.

5. How does the Saros cycle affect the accuracy of the approximation of G?

The Saros cycle affects the accuracy of the approximation of G as it introduces uncertainties in the masses and distances of the celestial bodies involved. Additionally, the Saros cycle is not a perfect cycle and can vary slightly in duration, which can also affect the accuracy of the approximation.

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