62 526
Assignments Done
Successfully Done
In June 2018

Answer to Question #21549 in Astronomy | Astrophysics for Derek Baker

Question #21549
At what distance from the earth is the gravitational pull of the sun equal to the gravitational pull of the earth?
Expert's answer
The condition for the gravitationalpull of the sun to be equal to the Earth's one is
GmM1/(r1^2)= GmM2/(r2^2)

where r1 is distance to Sun, M1 is mass of the Sun, r2 is distance to Earth and
M2 mass of the Earth.
From this we can find, what relation between distances toEarth and to the Sun should be

r1/r2 = sqrt(M1/M2)
knowing also, that their difference should give distancebetween Sun and Earth
r1^2-r2^2 = R^2
we can find r1:
r2= r1/sqrt(M1/M2)

r1^2+r1^2/(M1/M2) = R^2
r1^2 = R^2/(1+M1/M2)
r1 = R/sqrt(1+M1/M2)
r1 = 149*10^9 m from Earth

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question

Privacy policy Terms and Conditions