Gravitational fields

xxabr

1. The problem statement, all variables and given/known data
It can be assumed that the Earth, to a good approximation, moves in a circular orbit about the sun. Determine the speed of the Earth.


2. Relevant equations
v² = GM_earth/r


3. The attempt at a solution
m_earth= 5.98x10²⁴
R of earths orbit= 1.49x10¹¹
G= 6.67x10^-11

v²= (6.67x10^-11)(5.98x10²⁴)/ (1.49x10¹¹)
v²= (3.98x10¹⁴) / (1.49x10¹¹)
v= [itex]\sqrt{}2676.9[/itex]
v= 51.7m/s

Now here's the problem. My teacher said that the answer to this question is 2.97x10⁴m/s
What is it that I am doing wrong? D:

gneill

The important mass, the one that the Earth orbits, is the mass of the Sun.

xxabr

Ohhhh. Okay, I got it. Thank you