# I need help with the math of this Binary star system [duplicate]

I have talked before about this system in one of my other questions. I have figured out some more info about the planets/stars. I want to know where is the habitable zone and any other info you can tell me. I have done some math and I will show an illustration of the system. You can assume some things.

Red star:

• Mass(kg): 4.62006E+21

Red dwarf

Yellow star:

• Mass(kg): 3.63803E+18

Star like are sun

Distance between stars: 1.25 Au

Green planet:

• Has life
• Mass(kg): 9.40135E+17
• You forgot to tell the distance between the stars
– L.Dutch
Dec 10 '19 at 18:52
• The red star is only slightly more massive than the Uranian satellite Titania. They are not stars: they are cold dead worlds and there is no habitable zone.
– user66717
Dec 10 '19 at 20:56
• Yes a bit on the light side for stars. Our sun has a mass of 2x10^30 kg Dec 10 '19 at 23:53
• To give some examples slightly closer to home than Slarty's and antispinwards', Earth has a mass of ~6e24 kg and the moon 7e22. Heck, most of your stellar bodies are smaller than the largest asteroids in the Belt. 48 Doris weighs in at 1.2e19 kg and is ~220 km across Dec 11 '19 at 0:01

Your stars' masses are far too small. For comparison, the mass of Earth is $$\sim6\times10^{24}\text{ kg}$$, and the mass of the Sun is $$\sim2\times10^{30}\text{ kg}$$. I chose some representative parameters for a "yellow star" and a "red star":
1. Star 1: $$M\simeq0.97M_{\odot}$$, $$L\simeq0.78L_{\odot}$$, spectral type G6V
2. Star 2: $$M\simeq0.22M_{\odot}$$, $$L\simeq0.0063L_{\odot}$$, spectral type M4V
Then I used some code I put together a while ago to determine the habitable zone of the system, assuming a planet with albedo $$a\approx0.3$$: