Astronomy Problems: Help Solve Now!

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SUMMARY

This discussion focuses on various astronomy problems related to stellar properties and calculations. Key topics include the comparison of luminosity based on temperature and radius, the lifetime of stars on the main sequence based on mass, distance calculations using parallax measurements from the Hipparchus satellite, and applications of Wien's Law to determine peak wavelength and spectral classification. Participants are encouraged to solve these problems using established astronomical formulas and principles.

PREREQUISITES
  • Understanding of stellar luminosity calculations
  • Knowledge of main sequence star lifetimes
  • Familiarity with parallax distance measurements
  • Application of Wien's Law in astrophysics
NEXT STEPS
  • Research stellar luminosity formulas and their applications
  • Study the lifetime of stars on the main sequence based on mass
  • Learn how to calculate distances using parallax and absolute magnitude
  • Explore Wien's Law and its implications for stellar classification
USEFUL FOR

Astronomy students, astrophysics enthusiasts, educators, and anyone interested in solving stellar property problems and enhancing their understanding of astronomical concepts.

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Astronomy Problems: Please Help!

THESE ARE ALSO POSTED ON THE HOMEWORK PAGE WITH NOTES ABOUT WHAT I HAVE DONE.
1.) If a star has a temperature only 7/10 that of our Sun but a radius 10 times our Sun's, how would its luminosity compare to our Sun?

2.) If a star has a mass 11 times our Sun's mass, what would be its lifetime on the main sequence? What if the mass were 0.09 that of our Sun?

3.) If the parallax for a star is 0.015 arc sec (as measured by the Hipparchus satellite) how far away is it in parsec? In Light Years? If it has an absolute magnitude of 3, how bright would it appear from Earth?

4.) If the temperature of a star is 7800 K, where is the peak wavelength from Wien's Law? Assuming that it is a Main Sequence star, what spectral class and absolute magnitude would it have?

5.) If a star has an Absolute Magnitude 50 times brighter than our Sun, what would it be? If it appears as a 5 magnitude star, how far away is it?
 
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