Calculate mass of the sun

  • Thread starter SpeedBird
  • Start date
  • #1
28
0
hey there, i am having trouble with what should be a really easy question!
*********
calculate the mass of the sun assuming that the earths orbit is circular
and with a radius of 1.5 * 10^8 km

i got the period of the earths orbit around the sun in seconds:
60*60*24*365.25

then used the formula:

T = ((4*Pi^2*r^3)/(G*M))^2

rearranging in terms of M

i change the radius of the orbit to metres instead of kilometres before putting
it into the formula.

but the answer i get is 1.9 * 10^30 kg
and i think the answer should be in the order of 10^40 kg

can anyone suggest where i might be going wrong?

thanks

Nik
 

Answers and Replies

  • #2
1,444
2
This is Kepler's Law

[tex] T^2 = \frac{4 \pi^2}{GM} r^3 [/tex]

rearranged into

[tex] M = \frac{4 \pi^2}{GT^2} r^3 [/tex]

now sub in and see what s wrong
 
  • #3
28
0
i see i wrote the formula wrong in my original post!
i meant raised to the power of 1/2 at the very end.
i am still getting 2 * 10^30 as my answer..
this might be the correct answer and the question is just
unrealistic?

Nik
 
  • #4
1,444
2
the question is not unrealistic, the mass of the sun is 1.99x10^30 kg the answer of the book of 10^40 is wrong (or you're looking at the wrong question)
 
  • #5
28
0
ahh thank you! i found the value from a search on google :-S
it didnt even cross my mind that the value was wrong.

thank you very much!

Nik
 

Related Threads on Calculate mass of the sun

  • Last Post
Replies
3
Views
5K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
12
Views
1K
  • Last Post
Replies
4
Views
1K
Replies
2
Views
640
Top