Absolute magnitudes of brown dwarfs, bolometric and in the J-band?

QUESTION: Do these curve fits look good? Brown dwarf, J-band (near IR) absolute magnitude versus spectral type. ℳᴊ = 0.00022084027 S⁴ − 0.0659609823 S³ + 7.34624126 S² − 361.274547 S + 6626.69292 where S = 65 for spectral class M5 S = 70 for spectral class L0 S = 80 for spectral class T0 S = 90 for... show more QUESTION: Do these curve fits look good?

Brown dwarf, J-band (near IR) absolute magnitude versus spectral type.

ℳᴊ = 0.00022084027 S⁴
− 0.0659609823 S³
+ 7.34624126 S²
− 361.274547 S
+ 6626.69292

where
S = 65 for spectral class M5
S = 70 for spectral class L0
S = 80 for spectral class T0
S = 90 for spectral class Y0

Domain Restricted: S = 65 to 92.

Estimated bolometric correction for brown dwarf J band absolute magnitudes.

BCᴊ = −0.00032222 T + 2.9212

where T is the effective temperature.

L0 brown dwarf has bolometric absolute magnitude of +9.54 (this probably should be one magnitude dimmer)

Y2 brown dwarf has bolometric absolute magnitude of +23.08 (this is about right)
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