Calibrating the Period-Luminosity
Relationship using Proper Motion
• Suppose all planes fly at 500 MPH = 733 ft/sec
– Observe the angle that a plane shifts in 1 second of time
– A plane that moves 10 in 1 sec  (900 in 90 sec) is at 42,000 ft
– A plane that moves 20 in 1 sec  (900 in 45 sec) is at 21,000 ft
• Works for stars too:  closer stars have faster “proper motion”
– Can only get average distances using average proper motion, since any
given star might be moving faster or slower than average
• Harlow Shapley found 11 Cepheids with proper motion
– Use average proper motion, average distance, to find average (M-m)
– Let him replace Leavitt’s relative “m” axis with absolute “M”
– Now period M then M-m d