Aufgabe 1

%Erde
R = 6371e3
R = 6371000
M = 5.97e24
M = 5.9700e+24
G = 6.67e-11
G = 6.6700e-11

a) Umlaufzeit ISS

h = 400e3
h = 400000
rISS = R + h;
%FG = FZ
v = sqrt(G*M / rISS)
v = 7.6687e+03
U = 2*pi*rISS
U = 4.2543e+07
tISS = U / v
tISS = 5.5476e+03
tISSmin = tISS/60
tISSmin = 92.4608

b) Geostätionärer Satellit

t = 24*3600
t = 86400
rGeo = nthroot(G*M / (2*pi / t)^2,3 )
rGeo = 4.2227e+07
hGeo = rGeo - R
hGeo = 3.5856e+07