Description Submit all graphs in Excel or similar form. (a) (1) Show explicitly that for very mas ...

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Description Submit all graphs in Excel or similar form. (a) (1) Show explicitly that for very massive stars (opacity dominated by Thompson scattering, pressure from radiation) that luminosity is proportional to mass. (2) Show explicitly that for moderately massive stars (opacity dominated by Thompson scattering, pressure from gas) that luminosity is proportional to mass cubed. (3) Testing the predictions of the stellar structure equations. Here "LuminosityMass-data-Kuiper.txt" ATTACHED BELOW you can find a file containing data on the luminosity, mass and radius of a number of stars measured in visual or spectroscopic binaries. The data comes from a seminal paper "The Empirical Mass-Luminosity Relation" by Gerard Kuiper (of Kuiper belt fame), which you can find here. Plot: (i) Log L/Lsun vs Log M/Msun. Does it agree with the various mass-luminosity relations in the appropriate mass ranges? (ii) log(R/Rsun) vs Log M/Msun. Does it agree with the various mass-radius relationships in the appropriate mass ranges? (b) Distances and ages using the HR diagram (1) Plot the Pleiades' absolute magnitude vs B-V on the same graph as the apparent magnitude vs B-V of you third (non-Pleiades and non-Hyades) cluster. By matching their main sequences, determine the distance to the third cluster. (2) See the HR diagram of the M5 globular cluster below. Estimate its age. (c) (1) Set up and collect the results of simulations of the structure and evolution of a 1,2,5,10 and 20 solar mass star in MESA(Click to go to the MESA website). We will look at these next week. (2) Find some piece of physics that you recognize (or don't recognize but look up) in the MESA paper, and post about it in the MESA discussion thread (there will be one MESA discussion thread this week and the next; you need to post in one of them.) YOU CAN USE VIDEO TUTORIALS BELOW: 1- 2- 3-