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Binary Stars Q1) A binary star system has a distance from Earth of 42.2 light years. The distance between the stars is 1.08 x 101 m and the rotation period is 104 days. Assume equal masses of the stars, and circular orbits (centre of mass of the system is at rest relative to the Earth). a) Calculate the speed of the stars relative to the centre of mass of the system. Further assume the stars emit particles with a relative velocity of 3.0x108 m/s. b) How long does it take on average for these particles to reach the Earth? Dont overthink this one.] c) What is the time difference with which two particles reach Earth if they were emitted at the same time, one from the star moving away from Earth at the maximum velocity and the other from the star moving towards Earth at the maximum velocity?

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