Aufgabe 1

l = 12
l = 12
A = l^2
A = 144
R_E = 6371e3
R_E = 6371000
n = 8
n = 8
t = 1
t = 1
c = 299792458
c = 299792458

a)

U_E = 2*pi*R_E
U_E = 4.0030e+07
v_T = n * U_E / 1
v_T = 3.2024e+08
v_T / c
ans = 1.0682

b)

n2 = 7
n2 = 7
v_T2 = n2 * U_E / 1
v_T2 = 2.8021e+08
v_T2 / c
ans = 0.9347

c)

gamma = 1/sqrt(1 - v_T2^2 / c^2)
gamma = 2.8131
lK = l / gamma
lK = 4.2658

d)

m = 120
m = 120
mrel = m * gamma
mrel = 337.5720