Question

1.A moon of mass 8.89E22 kg orbits a planet of mass 8.53E24

Answer 1

1、

m1*ω²*r1=m2*ω²*r2

m1*r1=m2*r2

r1+r2=r

r1=[m2/(m1+m2)]r=[853/(8.89+853)]×(5.85E5)≈5.79×10^5Km

r1=[m2/(m1+m2)]r=[853/(8.89+853)]×(5.85E5)≈6.03×10³Km

2、

m1=91Kg m2=106Kg

m1*V1=m2*V2

m1*L1=m2*L2

L1+L2=L

L1=[m2/(m1+m2)]L=[106/(91+106)]×6.19m≈3.33m

28.1-3.33=24.8m