What is the Equation for Calculating the Mass of the Sun?

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The discussion focuses on the equation for calculating the mass of the Sun using the formula T²/R³ = 4π²/GM, where T is the orbital period and R is the distance from the Sun. An initial calculation yielded a mass of 3.27e+15 kg, which is incorrect compared to the known mass of the Sun, 1.98e+30 kg. Participants emphasized the importance of correctly converting the orbital period from years to seconds and squaring it in the calculations. After reviewing the calculations and receiving assistance, the original poster confirmed they resolved the issue. Accurate calculations are crucial for determining the mass of celestial bodies.
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Dark_Dragon said:
ok, so if my equation to find the mass of the sun is:
T²/R³ = 4п²/GM
and i used the orbital period (T²)(in seconds) and the distance from the sun (R³)(in metres) of say, venus, then i transform the equation to find "M" and i get:

M = 4π²(R³/T²) / G
M = (4π²)(1.08e+11/1.95e+7) / (6.67e-11)
=3.27e+15
but the mass of the sun is 1.98e+30.

Check your calculations. I get 1.92*10^30 kg.
 
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Check your orbital period. Make sure you convert the year into seconds and then square it.
 
ok scratch the last post, i got it, thank you for your help both of you!
much appreciated =)
 
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