POLYTROPIC STAR SKETCH - M,R type or M,L,T type.
Use properties of Main Sequence stars (V) for input.
Spec Teff M/Msun  R/Rsun L/Lsun      ro_avg (After
O5 40000  39.811  17.783 501187       0.01   Bowers &
B0 28000  17.783   7.413  19953       0.063  Deeming)
B5 15500   6.457   3.802    794.33    0.166  Note that
A0  9900   3.236   2.512     79.43    0.282  collapsors
A5  8500   2.089   1.738     19.95    0.5495 with 
F0  7400   1.698   1.349      6.31    0.9772 Lnuc << L
F5  6580   1.288   1.202      2.512   1.0715 may be modeled
G0  6030   1.0965  1.0417     1.259   1.3489 with n=1.5
G5  5520   0.9333  0.9333     0.794   1.5849 or n=3. Then
K0  4900   0.7762  0.8514     0.398   1.7783 L = 
K5  4130   0.6918  0.7413     0.1585  2.3988 A*MAX(L_radiative),
M0  3480   0.4977  0.631      0.0631  2.5119 1 < A < 2,
M5  2800   0.2138  0.3162     0.00794 10.0   where the upper
M8  2400   0.1     0.1259     0.000794 63.1  limit is speculative.
INPUTS: Mass in solar masses, Polytropic_type: n=3 or n=1.5,
        Radius in solar radii, the observed
        Luminosity in solar units,
        Stellar Chemistry, 
        Model_Star_Name,
        Model_Distance in LY.
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