#!/usr/bin/python3
# spacecraft's Doppler shift
c = 186282.0 # light speed mi/sec
v = 300.0 #spacecraft velocity mi/sec
fs = 1000000.0 # spacecraft frequency (1 million hertz)
def doppler_shift(v):
fr = fs * (1 / (1 + (v/c)))
print(f'spacecraft velocity : {v:>.2f} mi/sec')
print(f'spacecraft frequency: {fs:>.2f} Hz')
print(f'receiving frequency : {fr:>.2f} Hz')
print(f'Doppler shift : {(fr-fs):>.2f} Hz')
print()
doppler_shift(v)
print()
doppler_shift(-v)