# Doppler-Effekt : long/transv. relativistisch
#                  long         nichtrelativistisch
#  FH HN kr 1/96
#
set dummy beta
set grid
set title "Frequenzversch. durch Dopplereffekt" 0,0
#
non_rel(beta) = 100.*(1.-1./(1.+beta))
long(beta)    = 100.*(1.-sqrt((1.-beta)/(1.+beta)))
trans(beta)   = 100.*(1.-sqrt(1.-beta**2))
#
set xlabel "v / c" 
set xrange [0 : 0.9999]
set ylabel "Delta_f / f   [%]" 
set key 0.3,90
#
plot long(beta) title "longitudinal",non_rel(beta) title "nicht relativ.",trans(beta) title "transversal"
#