# File rvsao/Util/velcon.x # By Doug Mink, Harvard-Smithsonian Center for Astrophysics # April 30, 1997 # Subroutines to convert between velocity in km/sec and z = dwl/wl # VEL2Z Convert velocity in km/sec to z = dwl/wl # VEL2Z1 Convert velocity in km/sec to 1+z # Z2VEL Convert velocity in z to km/sec double procedure vel2z1 (velocity) double velocity # Velocity in km/sec double c # Velocity of light in km/sec double z1 # 1+z (unitless) begin c = 299792.5 z1 = sqrt ((1.d0 + (velocity / c)) / (1.d0 - velocity / c)) return (z1) end double procedure vel2z (velocity) double velocity # Velocity in km/sec double c # Velocity of light in km/sec double z # dwl / wl (unitless) begin c = 299792.5 z = vel2z1 (velocity) - 1.d0 return (z) end double procedure z2vel (z) double z # dwl / wl (unitless) double c # Velocity of light in km/sec double velocity # Velocity in km/sec begin velocity = z12vel (1.d0 + z) return (velocity) end double procedure z12vel (z) double z # dwl / wl (unitless) double c # Velocity of light in km/sec double velocity # Velocity in km/sec double z12 # (1+z)^2 begin z12 = z1 * z1 velocity = c * ((z12 - 1.d0) / (z12 + 1.d0)) return (velocity) end