Analytic Models of Brown Dwarfs and the Substellar Mass Limit

Table 2

Minimum mass and fractions of stars.

Model
A	0.087	—	—	0.090	0.014	0.107	0.085
B	0.085	0.085	0.000	0.089	0.020	0.107	0.095
C	0.081	0.081	0.001	0.087	0.029	0.106	0.108
D	0.078	0.078	0.002	0.086	0.038	0.105	0.118
E	0.073	0.075	0.006	0.085	0.052	0.103	0.127
F	0.069	0.072	0.013	0.084	0.069	0.099	0.129
G	0.064	0.068	0.018	0.082	0.081	0.089	0.109
H	0.064	0.067	0.014	0.080	0.073	0.085	0.093

⁢ is the minimum mass to reach the main sequence.
⁢, , and are the masses up to which the stars take at least  yr,  yr, and  yr, respectively, to reach the main sequence.
⁢, , and are the number fraction of stars reaching the main sequence in more than  yr,  yr, and  yr, respectively.
Note that, for model A, low mass stars reach the main sequence in <10⁹ yr.