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

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Homework Help Overview

The discussion revolves around deriving the mass of the sun using the relationship between the orbital period (T), radius (R), and mass (M) as expressed in the equation T²/R³ = 4π²/(GM). This falls under the subject area of gravitational physics and orbital mechanics.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the equation linking period, radius, and mass, with one participant suggesting the need to isolate mass (M) from the equation. There is an exploration of how the slope from a graph could represent a component of this equation.

Discussion Status

The discussion is ongoing, with participants engaging in mathematical reasoning and exploring the relationships within the equation. Some guidance has been offered regarding the interpretation of the slope in relation to the equation.

Contextual Notes

There may be assumptions regarding the definitions of variables and the context in which the equation is applied, as well as potential missing information about the specific values or data being used in calculations.

Sirsh
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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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