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1) A visual binary star system has been observed for forty years. In that time the...

  1. 1) A visual binary star system has been observed for forty years. In that time the two stars have completed 1⁄4 of their orbit around “each other” (actually around their mutual centre of mass). They are just far apart enough that our observations indicate that they are in circular orbits - they have stayed a constant 3.0 arcseconds apart since they were first observed. One of the two stars is a G2V star, identical to our Sun, and therefore has a mass of 1 Solar Mass. From the apparent magnitude observed for this star we can calculate the distance to the binary system: these stars are 30 parsecs from us. What is the mass of its companion star? (in units of Solar Mass)

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