A close binary star system has components whose brightness is 1m and 2m. Estimate roughly, without calculating

A close binary star system has components whose brightness is 1m and 2m. Estimate roughly, without calculating, the total brightness of a binary star

The illumination from the system as a whole is greater than from each component separately. The system has a shine. equal to 0m, if the illumination from both objects exceeds the illumination from the first object by 2.512 times. In fact, the brightness of the second object is noticeably weaker than the first: the illumination from it is only 1 / 2.512 of the illumination of the first object. Therefore, the total brightness of the system will be only slightly higher than the brightness of a star with a magnitude of 1m. The most likely magnitude of the system is between 0.5m and 1m. The exact gloss value of this system is 0.64m.

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