Stars don't get that big; you messed up on 3 and 5. 1, 2, and 4 are fine. You or someone else can try again.This QM is severely laking in math...
The system 'Beta Constellationi' contains two stars, A and B. It has a measured trigonomic parallax of 0.03 arcseconds and the angular size of the semi-major axis is 2.93 arcseconds. The system takes 465.5 years to fully orbit.
1. What is the distance to the system in parsecs?
2. What is the actual distance between stars A and B in AU?
3. What is the mass of the system? Give your answer in solar masses.
4. The distance from the center of mass of the system (also known as the barycenter) to star A is 60 AU. What is the distance to star B from the barycenter?
5. What are the individual masses of stars A and B?1. 33.33 parsecs 2. 97.66 AU? 3. uhhh... 1148120.12 solar masses? lol 4. 37.66 AU??? 5. if 3 and 4 are correct, A = 507518.948 solar masses and A = 640601.172 solar masses (iirc stars don't actually get this big, right?)
EDIT: Actually there's a chance I messed up...the distance between the stars should be the same as the semi-major axis, but I could be wrong. Looking it up now.
EDIT 2: That does work...check Kepler's Third Law again.