Sorry I've been away, busy, busy life this semester.<br /><br /><br />Reason why period and luminosity are related: Empirical observation.<br /><br />Some Cepheids are close enough that we can find the distance to them via other means (parralax, HR fitting, cluster fitting etc). Knowing the distance, we can determine the absolute magnitude.<br /><br />We also note the period of the Cepheid. Upon comparing the two, we notice, empirically with no assumptions, that the longer the period the brighter the star in a tight correlation (say average of 5% variance). That means knowing the period, we know the absolute magnitude, within 5%, by observation alone.<br /><br />It's sorta like noticing how water freezes at 0 degrees celsius. However the more salt that's added, the lower the freezing point. The more salt, the colder it's gotta be to freeze. If you know the salt content, you can then predict the freezing point.<br /><br />All this without knowing specifically <i>why</i> this occurs.<br /><br />The only assumption in the Period-Luminosity relationship is that all cephieds follow it. We've noticed that isn't quite true, there are several types of cepheids (each with their own spectroscopic characteristics which can be identified independent of the period or luminosity). But within the types the hundreds we've observed all follow the trend (with only a small variation from one individual to the next).<br /><br /><br /><br /><br />Newtonian: The core does not expand or contract. The core is put under more or less pressure, thus moderating the rate of fusion. The fluctuating fusion levels causes the energy radiated to change. This radiated energy is what's holding up the surface. Change the radiated energy (light) levels and you change the size of the surface. More light = "higher" surface.<br /><br /><br />I started by discussing small stars, since they are very similar to large stars except in the helium vs carbon flash, stardeath, and a few other minor issures. However the o <div class="Discussion_UserSignature"> <p align="center"><font color="#c0c0c0"><br /></font></p><p align="center"><font color="#999999"><em><font size="1">--------</font></em></font><font color="#999999"><em><font size="1">--------</font></em></font><font color="#999999"><em><font size="1">----</font></em></font><font color="#666699">SaiphMOD@gmail.com </font><font color="#999999"><em><font size="1">-------------------</font></em></font></p><p><font color="#999999"><em><font size="1">"This is my Timey Wimey Detector. Goes "bing" when there's stuff. It also fries eggs at 30 paces, wether you want it to or not actually. I've learned to stay away from hens: It's not pretty when they blow" -- </font></em></font><font size="1" color="#999999">The Tenth Doctor, "Blink"</font></p> </div>