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X-ray pulses from Cygnus X-1, a celestial x- ray source, have been recorded during high altitude rocket flights. The signals can be interpreted as originating when a blob of ion- ized matter orbits a black hole with a period of 7.12 ms. If the blob were in a circular orbit about a black hole whose mass is 26.2 times the mass of the Sun, what is the orbit radius? The value of the gravitational constant is 6.67259 × 10−11 N · m2/kg2 and mass of the Sun is 1.991 × 1030 kg. Answer in units of km.

X-ray pulses from Cygnus X-1, a celestial x- ray source, have been recorded during high altitude rocket flights.

The signals can be interpreted as originating when a blob of ion- ized matter orbits a black hole with a period of 7.12 ms.

If the blob were in a circular orbit about a black hole whose mass is 26.2 times the mass of the Sun, what is the orbit radius? The value of the gravitational constant is 6.67259 × 10−11 N · m2/kg2 and mass of the Sun is 1.991 × 1030 kg.

Answer in units of km. 

 
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