Concept explainers
To calculate: The total mass of a double star is directly proportional to the cube of maximum distance between the stars and inversely proportional to the square of the period.
Answer to Problem 9P
The total mass of the Capella is:
Explanation of Solution
Given information:
The total mass of a double star is directly proportional to the cube of maximum distance between the stars and inversely proportional to the square of the period.
The double star series has a period of
Formula used:
For varies directly and inversely:
Calculation:
Consider that, The double star series has a period of
Recall that varies directly and inversely:
The values are:
Therefore, the value of
So simplified further the value of
Now to find the value of
The values are:
Hence, when:
So,
Thus, the total mass of the Capella is:
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Algebra: Structure And Method, Book 1
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