Spherical Astronomy — Problems And Solutions __full__

Spherical astronomy focuses on determining the positions and movements of celestial bodies on the imaginary celestial sphere.

The Scenario: Will a star with a declination of +60° ever set for an observer at latitude 45°N? spherical astronomy problems and solutions

Sarah humored him. She pulled up the data. "Right. The Local Sidereal Time is 12 hours, 14 minutes." Spherical astronomy focuses on determining the positions and

  1. Calculate the ecliptic coordinates of a star with equatorial coordinates α = 12h 30m and δ = 30°. Solution: λ = 173.22°, β = 29.44°
  2. Determine the local Sidereal Time for an observer at longitude 120° W on a date when the Greenwich Sidereal Time is 10h 30m. Solution: ST = 10h 30m - 8h = 2h 30m
  3. Calculate the distance to a star with a parallax angle of 0.1 arcseconds. Solution: d = 10 parsecs
  4. Determine the orbital period of a planet with a semi-major axis of 2 AU and a mass of 1 M. Solution: P = 2.83 years
  5. Measure the position of a star using reference frames and catalogs. Solution: α = 23h 45m, δ = 45°