2. [2 pts]
(a) From the class handout on extrasolar planets, create a histogram
of the frequency of the eccentricities of the 56 objects on the
first page. Divide the eccentricities into bins of 0.1, that is,
the first bin has objects with 0< e< 0.1, the next bin 0.1< e< 0.2,
and so on. Make a separate histogram for the objects on the second page,
and a third histogram for the 9 planets in our Solar System listed in
(b) Compare and constrast these three histograms.
3. [2 pts] Determine a relationship between the masses of stars and their luminosities by plotting log (L/L_sun) vs. log(M/M_sun) for the nearest stars (data compiled in Appendix 4). Hints - Convert the absolute visual magnitude Mv to a luminosity using the Mv of the Sun, which is 4.86. Remember that smaller magnitudes are brighter. Draw a line through the points and measure the slope of the line, and use the slope to get an equation that relates L to M. Write out explicitly how you calculated the luminosity of the first star in the list, Proxima Centauri. Leave all luminosities in units of L_sun, and all masses in units of M_sun.
4. [1 pt] 20-28 of KF (spectrum of reflection nebula)
5. [1 pt] 21-35 of KF (systems with life)
6. [1 pt] 21-31 of KF (mass of H Sun converts to He)
7. [1 pt] 22-34 of KF (age of Ring Nebula)