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31) Star Sirius has an apparent magnitude of -1.47 and an absolute magnitude of 1.41. Estimate the distance to Sirius.

31) Star Sirius has an apparent magnitude of -1.47 and an absolute magnitude of 1.41. Estimate the distance to Sirius.

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31) Star Sirius has an apparent magnitude of -1.47 and an absolute magnitude of 1.41. Estimate the distance to Sirius.
Transcribed Image Text:31) Star Sirius has an apparent magnitude of -1.47 and an absolute magnitude of 1.41. Estimate the distance to Sirius.
Expert Solution
Concept and Principle:
  • When studying a celestial object we use two types of magnitudes. The apparent magnitude and absolute magnitude.

 

  • The absolute magnitude is the magnitude of a celestial if it was observed from a distance of 10 parsecs.

 

  • The apparent magnitude of a celestial object is the brightness measured by an observer at a specific distance from the object.

 

  • The two magnitudes and distance to the object are related by,

d=10(m−M+55)

Here d is the distance to the celestial object, m is the apparent magnitude, and M is the absolute magnitude.

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