Finding the mass of the sun from T^2/R^3

In summary, the mass of the sun can be calculated using the T^2/R^3 equation, derived from Newton's Law of Universal Gravitation. This equation is important in understanding the dynamics of the solar system and the formation of the sun. It is considered to be very accurate and can be applied to other celestial bodies. However, there are limitations to its use, such as assuming a circular orbit and not accounting for the mass of the orbiting body.
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Sirsh
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  • #2
Hi Sirsh, do you perhaps know the equation that links period, radius, and mass together?
 
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T² / R3 = 4p²/(GM) is the equation that I've got where hopefully p represents pi. so what you've done above to calculate the slope seems right. and the slope will represent 4p²/(GM). So you have to isolate the M in that equation.
 
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1. How is the mass of the sun calculated using the equation T^2/R^3?

The equation T^2/R^3 (where T is the orbital period of a planet and R is its distance from the sun) is derived from Newton's Law of Universal Gravitation. By equating this equation to the known value of the gravitational constant and the mass of the sun, we can solve for the mass of the sun.

2. What is the importance of finding the mass of the sun?

Knowing the mass of the sun is essential in understanding the dynamics of our solar system and the interactions between planets. It also helps in understanding the formation and evolution of the sun and other stars.

3. How accurate is the calculated mass of the sun?

The calculated mass of the sun using the T^2/R^3 equation is considered to be very accurate. It has been verified by multiple experiments and is consistent with other methods of determining the mass of the sun.

4. Can the T^2/R^3 equation be used to find the mass of other celestial bodies?

Yes, the T^2/R^3 equation can be applied to any celestial body that has a known orbital period and distance from a central mass. However, the equation may need to be modified depending on the specific scenario.

5. Are there any limitations to using the T^2/R^3 equation to find the mass of the sun?

One limitation is that the equation assumes a circular orbit, which is not always the case for planets. Also, the equation does not take into account the mass of the orbiting body, which may have a small effect on the calculated mass of the sun.

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