This is the ideal set up for my solar system:
It's been pointed out that this is not a stable set up, so I want to clarify that everything in this set up can be changed at will to fit my planet. The only thing that's essential is the size, gravity and temperature of Enkei as it needs to support the fauna in my world. Yaima is intended to be a planet but can be a moon.
Magnus (Main Star):
Mass: 2.1879*(10^30)kg (1.1 Sol)
Luminosity: 5.3688798*(10^26)W (1.396 Sol)
Diameter: 1530540km (1.073 Sol)
Habital Zone: 1.13-1.63 AU
Ignis (Circumbinary Star):
Mass: 5.1714*(10^29)kg (0.26 Sol)
Luminosity: 3.4467993*(10^24)W (0.00896 Sol)
Diameter: 513400km (0.369 Sol)
Semimajor Axis: ???
Radius: 6923.5km (1.0865 Earth)
Mass: 5.63094*10^24kg (0.9428 Earth)
Volume: 1390160000000km^3 (1.2834 Earth)
Gravity: 7.84m/s^2 (0.8G)
Density: 4.05g/cm^3 (0.735 Earth)
Surface Temp: 292K 19°C
Semimajor axis: 260615093km 1.7421042951765742AU
Firstly, I have no idea what the most suitable orbit distance is for my binary (P-Type) Star but I found the minimum distance to be 0.11AU so 0.2 seemed a good guess. Obviously, I need a stable System before I can even begin to populate the world so this is the most important. Worst case scenario I can scrap the binary and just tweak our solar system accordingly.
292 kelvin is the maximum temperature I want for my planet as it effects climate and evolution. Since I couldn't find anything concrete for calculating the relationhip between temperature and atmospheric density, I plotted the disparity between expected temperature and actual temperature for Earth, Mars and Venus alongside the atmospheric pressure (1, 0.006 and 90, respectively). using this scale predicted my Planet's temperature (12x Earth Atmospheres) to be 60-80% of it's actual temperature and because the albedo would be similar to earth, this then gave me an orbit distance of roughly 1.74AU which is just outside of the habitable zone. That makes the expected temperature the same as mars but an atmosphere 12x stronger would provide a considerable buffer and an Earth-like landscape (i.e. Large Oceans) should help regulate temperature.
If that seems inaccurate, Is there an equation for temperature and atmospheric pressure? Or is anyone able to calculate a more accurate orbital distance that would keep the planet at around 19°C?
Bear in mind that distance affects year length. My current set-up allows 32-hour days for 539.751 days in a year, which is 540 days a year -1 every four years except for the start of new millenia.