jinx_58
Hey jinx_58,
The marking scheme is somewhat right in using T2/r3 = 4pi2/GM because I think it uses Kepler's third law which is the ratio T2/r3 = T2/r3. To start, I am going to let:
- TE = period of revolution (PoR) of Earth
- TS = PoR of Saturn
- rE = radius of Earth
- rS = radius of Saturn
Thus, the ratio is: TE2/rE3 = TS2/rS3. So assume the PoR of Earth is 1. So, the ratio is: 12/rE3=302/rS3 (because PoR of Saturn is 30 times of Earth). Rearranging that,
rS3/rE3=302/12
rS3/rE3=900
rS/rE = โ900=9.65=9.7
Hope that helped. Feel free to ask any more questions.