Concept explainers
The proof that the semi major axis of the orbit of the reduced mass is given by
Answer to Problem 7.1P
The semi major axis of the orbit of the reduced mass is
Explanation of Solution
Write the expression for general relation between the distance and semi major axis of the star orbit.
Here,
Write the expression for distance when two stars are in different direction.
Here,
Write the expression for relation between distance of the stars and their semi major axis.
Here,
Write the expression for semi major axis of reduced mass.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the semi major axis of the orbit of the reduced mass is
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Chapter 7 Solutions
EBK AN INTRODUCTION TO MODERN ASTROPHYS
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