I am working on building a fantasy world in a binary star system. My current goal is to determine the calendar of the world. I am having trouble finding the formulas to calculate things such as daylight length, seasons, etc. for the system. Hopefully, someone will be able to point me towards a resource for these formulas or help me determine the values. Here are some of the specifics of the system.
The system is a binary star system consisting of a G2 V star as the primary star and a K1 V star as the secondary star. The stars orbit each other in a period of 79.91 Earth years with a periapsis of 11.2 AU and a apoapsis of 35.6 AU. The primary star has a velocity of 5.01 km/s, while the secondary star has a velocity of 6.05 km/s.
Orbiting around the primary star is an Earth sized planet with an oribit velocity of 28 km/s, periapsis of 1.08 AU, apoapsis of 1.11 AU, and a rotation velocity of 465.1 m/s. The planet ecliptic is at about 67.5 degree off from the solar ecliptic.
The planet is orbited by 3 moons, however I have already found the formulas for determining their orbital periods. I just mention it in case their existence affects any of the other calculations.
The system is a binary star system consisting of a G2 V star as the primary star and a K1 V star as the secondary star. The stars orbit each other in a period of 79.91 Earth years with a periapsis of 11.2 AU and a apoapsis of 35.6 AU. The primary star has a velocity of 5.01 km/s, while the secondary star has a velocity of 6.05 km/s.
Orbiting around the primary star is an Earth sized planet with an oribit velocity of 28 km/s, periapsis of 1.08 AU, apoapsis of 1.11 AU, and a rotation velocity of 465.1 m/s. The planet ecliptic is at about 67.5 degree off from the solar ecliptic.
The planet is orbited by 3 moons, however I have already found the formulas for determining their orbital periods. I just mention it in case their existence affects any of the other calculations.