The approximate relationship between the luminosity and the period of Cepheid variables is L star (L units) = 335 P (days). Delta Cephei has a cycle period of 5.4 days and a parallax of 0.0033 arcseconds (arcsec). A more distant Cepheid variable appears 1/1,000 as bright as Delta Cephei and has a period of 54 days. a. How far away (in parsecs) is the more distant Cepheid variable? b. Could the distance of the more distant Cepheid variable be measured by parallax? Explain.
