Absolute bolometric magnitude to solar luminosities
Type a value in M_bol to get it in L☉ instantly.
31.33L☉
That's 1.23× as bright as Sirius, while Rigel is 3,830× brighter. That would run about 3.998×10¹⁵ of the world’s electricity grids.
Convert the other way: L☉ to M_bol
What it means
How much light is that?
This is bolometric luminosity: all the radiation, not just visible light. A cool red star emits most of its output in infrared.
The math
How to convert M_bol to L☉
Absolute bolometric magnitude is logarithmic and backwards: M = 4.74 − 2.5 × log₁₀(L ÷ L☉), and back again L = 10^((4.74 − M) ÷ 2.5).
Example: 1 M_bol = 31.3329 L☉.
Every unit
Your luminosity in every unit
Tables
M_bol to L☉ conversion table
| M_bol | L☉ |
|---|---|
| -25.3 M_bol | 1.038×10¹² L☉ |
| -17.8 M_bol | 1.038×10⁹ L☉ |
| -10.3 M_bol | 1,037,530 L☉ |
| -5.26 M_bol | 10,000 L☉ |
| -0.26 M_bol | 100 L☉ |
| 2.24 M_bol | 10 L☉ |
| 4.74 M_bol | 1 L☉ |
| 7.24 M_bol | 0.1 L☉ |
| 9.74 M_bol | 0.01 L☉ |
| 14.7 M_bol | 0.000103753 L☉ |
L☉ to M_bol conversion table
| L☉ | M_bol |
|---|---|
| 0.0001 L☉ | 14.74 M_bol |
| 0.01 L☉ | 9.74 M_bol |
| 0.1 L☉ | 7.24 M_bol |
| 1 L☉ | 4.74 M_bol |
| 10 L☉ | 2.24 M_bol |
| 100 L☉ | -0.26 M_bol |
| 10,000 L☉ | -5.26 M_bol |
| 1,000,000 L☉ | -10.26 M_bol |
| 1×10⁹ L☉ | -17.76 M_bol |
| 1×10¹² L☉ | -25.26 M_bol |
Quick answers
Quick answers
- How many L☉ is 1 M_bol?
- 1 M_bol is 31.3329 L☉.
- How many L☉ is 10 M_bol?
- 10 M_bol is 0.00787046 L☉.
The units
About these units
Absolute bolometric magnitude (M_bol)
The logarithmic scale, running backwards as magnitudes do.
Solar luminosities (L☉)
The Sun’s output, 3.83 × 10²⁶ W.
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