HW3.pdf - Homework#3 Due March 11 at 5pm Put in drop box outside Hennings 312 You must show your work for full credit 1[8 points The diagram below

HW3.pdf - Homework#3 Due March 11 at 5pm Put in drop box...

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Homework #3 Due March 11 at 5pm. Put in drop box outside Hennings 312. You must show your work for full credit! 1. [8 points] The diagram below depicts the orbits of the binary star system gamma Cephei A + B, and the exoplanet gamma Cephei Ab, plotted relative to the centre of mass of the two stars. The orbit of gamma Cephei A is the smaller red ellipse, gamma Cephei B is the larger red ellipse, and the blue ellipse is the orbit of the planet gamma Cephei Ab around star A. The orbits of the giant planets in the outer Solar System are plotted as dotted lines for comparison. The “×” is the centre of mass of the orbits of the stars A and B.
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(a) Estimate the pericenter and apocenter distances for the orbit of the two stars about each other. (The estimate will be approximate given the scale of the orbital plot and the relatively small size of the exoplanet’s orbit in that plot.) Use this to calculate the binary’s semi-major axis.
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