Aufgabe 1

v = 29780
v = 29780
r = 149e9
r = 1.4900e+11
g = 9.81;

a) (Kreis)Frequenz

U = 2*r*pi
U = 9.3619e+11
T = U / v
T = 3.1437e+07
T_d = T / 3600 / 24
T_d = 363.8545
f = 1 / T
f = 3.1810e-08
w = 2*pi*f
w = 1.9987e-07
a = v^2/r
a = 0.0060

b) Schwerpunkt

rBeide = [0 r]
rBeide = 1×2
1011 ×
0 1.4900
mBeide = [1.99e30 5.97e24]
mBeide = 1×2
1030 ×
1.9900 0.0000
rS = 1/sum(mBeide) * sum(mBeide.*rBeide)
rS = 4.4700e+05

c) Drehimpuls

L = r*mBeide(2)*v
L = 2.6490e+40
rNew = 100e9
rNew = 1.0000e+11
vNew = L / (rNew*mBeide(2))
vNew = 4.4372e+04