
Pam C. answered 07/27/21
Masters in Science with 25 years of Teaching Experience.
Based on the information given, I'm not sure you can answer this question. What mathematical equation are you referring to? Both Sirus A and B will continue to move to the lower right of the star chart.
Apparent magnitude is a measure of the brightness of a star as observed from Earth. Depending on it's distance from earth and the temperature determines the luminosity of the star (apparent magnitude).
Since Sirus A is a Main Sequence star it will continue to cool off and move to the lower right side of the chart, eventually turning into a red star (not Red Giant, it's too small.)
Sirus B is not a Main Sequence star either. It will continue to cool off until it fuses into nothing but iron.