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.
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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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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