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Assume an eclipsing binary system in which the orbits are circular and the
eclipses as viewed from Earth are total, with the plane of the orbits lying in the
line of sight.
If the magnitude of the orbital velocity of the smaller star is known from Doppler methods to be 100 km/s and the time measured from point 3 to point 4 in the adjacent diagram is 2 hours, what is the radius of the smaller star? Express the answer both in kilometers and in units of solar radii. |
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If in exercise 1 the time required from when the eclipse begins until the smaller star begins to emerge from behind the larger is 7 hours, what is the radius of the larger star expressed in kilometers and in units of solar radii? |
