From the light and velocity curves of an eclipsing spectroscopic binary star system, it is determined that the orbital period is 6.31 yr and the maximum radial velocities of stars A and B are 5.4 km/s and 22.4 km/s, respectively. Furthermore, the time period between first contact and minimum light (tb-ta) is 0.58 d and the length of the primary minimum (tc-tp) is 0.64 d. From this information, assuming circular orbits, find: a) the ratio of stellar masses. b) the sum of masses (i~ 90°). c) the individual masses. d) the individual radii.

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From the light and velocity curves of an eclipsing spectroscopic binary star system, it is
determined that the orbital period is 6.31 yr and the maximum radial velocities of stars A and B
are 5.4 km/s and 22.4 km/s, respectively. Furthermore, the time period between first contact
and minimum light (tp-ta) is 0.58 d and the length of the primary minimum (tc-tb) is 0.64 d. From
this information, assuming circular orbits, find:
a) the ratio of stellar masses.
b) the sum of masses (i ~ 90°).
c) the individual masses.
d) the individual radii.
Transcribed Image Text:From the light and velocity curves of an eclipsing spectroscopic binary star system, it is determined that the orbital period is 6.31 yr and the maximum radial velocities of stars A and B are 5.4 km/s and 22.4 km/s, respectively. Furthermore, the time period between first contact and minimum light (tp-ta) is 0.58 d and the length of the primary minimum (tc-tb) is 0.64 d. From this information, assuming circular orbits, find: a) the ratio of stellar masses. b) the sum of masses (i ~ 90°). c) the individual masses. d) the individual radii.
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