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