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(c) In the case of a binary-star system, with stars of mass mi and m2 separated by a distance r, the period, T, of the system is given by 47² G (m₁+ m₂) Show from first principles that di, the orbital radius of the star of mass mi, is given by (d) D... T²=- d₁=m₂ p. 3 ( ;) ³ GT² 47² (m₁ + m₂)²

(c) In the case of a binary-star system, with stars of mass mi and m2 separated by a distance r, the period, T, of the system is given by 47² G (m₁+ m₂) Show from first principles that di, the orbital radius of the star of mass mi, is given by (d) D... T²=- d₁=m₂ p. 3 ( ;) ³ GT² 47² (m₁ + m₂)²

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(c) In the case of a binary-star system, with stars of mass my and m2 separated by a distance r, the period, T, of the system is given by T²= (d) D 472 Show from first principles that di, the orbital radius of the star of mass mi, is given by G (m₁+ m₂) +3 d₁=m₂ GT² 4π² (m₁ + m₂) ² ³
Transcribed Image Text:(c) In the case of a binary-star system, with stars of mass my and m2 separated by a distance r, the period, T, of the system is given by T²= (d) D 472 Show from first principles that di, the orbital radius of the star of mass mi, is given by G (m₁+ m₂) +3 d₁=m₂ GT² 4π² (m₁ + m₂) ² ³
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