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University · Astronomy & space

University Astronomy & space practice

15 questions on orbital mechanics, stellar astronomy, exoplanets. The answer key is a separate download.

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  1. A negligible-mass companion has semimajor axis 27 AU around a star of 2 solar masses. Use P²=a³/M in AU, years and solar masses. Find P. Round the final result to 4 decimal places if needed. Answer in years.

  2. Source 2 has 16 times the flux of source 1 in the same band. Find m₂−m₁. Round the final result to 4 decimal places if needed.

  3. A star has apparent magnitude 11 and absolute magnitude 0 in one band. Neglect extinction. Find distance in parsecs. Round the final result to 4 decimal places if needed. Answer in pc.

  4. Source 2 has 111 times the flux of source 1 in the same band. Find m₂−m₁. Round the final result to 4 decimal places if needed.

  5. A star has apparent magnitude 12 and absolute magnitude 0 in one band. Neglect extinction. Find distance in parsecs. Round the final result to 4 decimal places if needed. Answer in pc.

  6. A negligible-mass companion has semimajor axis 26 AU around a star of 1.1 solar masses. Use P²=a³/M in AU, years and solar masses. Find P. Round the final result to 4 decimal places if needed. Answer in years.

  7. In a blackbody model a star has radius 5.5 times a reference star and effective temperature 1.5 times the reference. Find L/Lref. Round the final result to 4 decimal places if needed.

  8. A star has apparent magnitude 15 and absolute magnitude 4 in one band. Neglect extinction. Find distance in parsecs. Round the final result to 4 decimal places if needed. Answer in pc.

  9. A model star has exact parallax 0.151 arcseconds. Calculate its distance using d=1/p. Round the final result to 4 decimal places if needed. Answer in pc.

  10. In a blackbody model a star has radius 2 times a reference star and effective temperature 0.75 times the reference. Find L/Lref. Round the final result to 4 decimal places if needed.

  11. A model star has exact parallax 0.209 arcseconds. Calculate its distance using d=1/p. Round the final result to 4 decimal places if needed. Answer in pc.

  12. A star has apparent magnitude 13 and absolute magnitude -1 in one band. Neglect extinction. Find distance in parsecs. Round the final result to 4 decimal places if needed. Answer in pc.

  13. A negligible-mass companion has semimajor axis 29 AU around a star of 1.1 solar masses. Use P²=a³/M in AU, years and solar masses. Find P. Round the final result to 4 decimal places if needed. Answer in years.

  14. A simplified transit has fractional depth 0.0057. Neglect limb darkening and blending. Find planet radius divided by stellar radius. Round the final result to 4 decimal places if needed.

  15. A negligible-mass companion has semimajor axis 8 AU around a star of 1.9 solar masses. Use P²=a³/M in AU, years and solar masses. Find P. Round the final result to 4 decimal places if needed. Answer in years.