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Mathematical Formulas for Astrological Calculations

This quiz is designed to test your knowledge of mathematical formulas used in astrological calculations.

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

What is the formula for calculating the sidereal time at a given longitude?

  1. ST = GMST + (longitude / 15)
  2. ST = GMST - (longitude / 15)
  3. ST = GMST + (longitude / 30)
  4. ST = GMST - (longitude / 30)
Question 2 Multiple Choice (Single Answer)

What is the formula for calculating the ayanamsa?

  1. Ayanamsa = (279.69667 + (0.00001337 * t))
  2. Ayanamsa = (279.69667 - (0.00001337 * t))
  3. Ayanamsa = (279.69667 + (0.00001337 * t^2))
  4. Ayanamsa = (279.69667 - (0.00001337 * t^2))
Question 3 Multiple Choice (Single Answer)

What is the formula for calculating the precession of the equinoxes?

  1. Precession = (50.28794195 * t)
  2. Precession = (50.28794195 / t)
  3. Precession = (50.28794195 * t^2)
  4. Precession = (50.28794195 / t^2)
Question 4 Multiple Choice (Single Answer)

What is the formula for calculating the obliquity of the ecliptic?

  1. Obliquity = (23.4392911 - (0.0000004 * t))
  2. Obliquity = (23.4392911 + (0.0000004 * t))
  3. Obliquity = (23.4392911 - (0.0000004 * t^2))
  4. Obliquity = (23.4392911 + (0.0000004 * t^2))
Question 5 Multiple Choice (Single Answer)

What is the formula for calculating the nutation in longitude?

  1. Nutation in Longitude = (17.2327 * sin(Ω) - 1.2729 * cos(Ω) - 0.2089 * sin(2Ω))
  2. Nutation in Longitude = (17.2327 * cos(Ω) - 1.2729 * sin(Ω) - 0.2089 * cos(2Ω))
  3. Nutation in Longitude = (17.2327 * sin(Ω) + 1.2729 * cos(Ω) - 0.2089 * sin(2Ω))
  4. Nutation in Longitude = (17.2327 * cos(Ω) + 1.2729 * sin(Ω) - 0.2089 * cos(2Ω))
Question 6 Multiple Choice (Single Answer)

What is the formula for calculating the nutation in obliquity?

  1. Nutation in Obliquity = (9.2105 * cos(Ω) + 0.5532 * sin(Ω) - 0.0904 * cos(2Ω))
  2. Nutation in Obliquity = (9.2105 * sin(Ω) + 0.5532 * cos(Ω) - 0.0904 * sin(2Ω))
  3. Nutation in Obliquity = (9.2105 * cos(Ω) - 0.5532 * sin(Ω) - 0.0904 * cos(2Ω))
  4. Nutation in Obliquity = (9.2105 * sin(Ω) - 0.5532 * cos(Ω) - 0.0904 * sin(2Ω))
Question 7 Multiple Choice (Single Answer)

What is the formula for calculating the true longitude of the Sun?

  1. True Longitude of the Sun = (Mean Longitude of the Sun + Nutation in Longitude)
  2. True Longitude of the Sun = (Mean Longitude of the Sun - Nutation in Longitude)
  3. True Longitude of the Sun = (Mean Longitude of the Sun + Nutation in Obliquity)
  4. True Longitude of the Sun = (Mean Longitude of the Sun - Nutation in Obliquity)
Question 8 Multiple Choice (Single Answer)

What is the formula for calculating the true longitude of the Moon?

  1. True Longitude of the Moon = (Mean Longitude of the Moon + Nutation in Longitude + Evection + Variation + Annual Equation)
  2. True Longitude of the Moon = (Mean Longitude of the Moon - Nutation in Longitude + Evection + Variation + Annual Equation)
  3. True Longitude of the Moon = (Mean Longitude of the Moon + Nutation in Obliquity + Evection + Variation + Annual Equation)
  4. True Longitude of the Moon = (Mean Longitude of the Moon - Nutation in Obliquity + Evection + Variation + Annual Equation)
Question 9 Multiple Choice (Single Answer)

What is the formula for calculating the true longitude of the planets?

  1. True Longitude of the Planets = (Mean Longitude of the Planets + Nutation in Longitude + Perturbations)
  2. True Longitude of the Planets = (Mean Longitude of the Planets - Nutation in Longitude + Perturbations)
  3. True Longitude of the Planets = (Mean Longitude of the Planets + Nutation in Obliquity + Perturbations)
  4. True Longitude of the Planets = (Mean Longitude of the Planets - Nutation in Obliquity + Perturbations)
Question 10 Multiple Choice (Single Answer)

What is the formula for calculating the true latitude of the Moon?

  1. True Latitude of the Moon = (Mean Latitude of the Moon + Nutation in Latitude + Parallax in Latitude)
  2. True Latitude of the Moon = (Mean Latitude of the Moon - Nutation in Latitude + Parallax in Latitude)
  3. True Latitude of the Moon = (Mean Latitude of the Moon + Nutation in Obliquity + Parallax in Latitude)
  4. True Latitude of the Moon = (Mean Latitude of the Moon - Nutation in Obliquity + Parallax in Latitude)
Question 11 Multiple Choice (Single Answer)

What is the formula for calculating the true latitude of the planets?

  1. True Latitude of the Planets = (Mean Latitude of the Planets + Nutation in Latitude + Perturbations in Latitude)
  2. True Latitude of the Planets = (Mean Latitude of the Planets - Nutation in Latitude + Perturbations in Latitude)
  3. True Latitude of the Planets = (Mean Latitude of the Planets + Nutation in Obliquity + Perturbations in Latitude)
  4. True Latitude of the Planets = (Mean Latitude of the Planets - Nutation in Obliquity + Perturbations in Latitude)
Question 12 Multiple Choice (Single Answer)

What is the formula for calculating the distance of the Moon from the Earth?

  1. Distance of the Moon from the Earth = (Mean Distance of the Moon from the Earth + Evection + Variation + Annual Equation)
  2. Distance of the Moon from the Earth = (Mean Distance of the Moon from the Earth - Evection + Variation + Annual Equation)
  3. Distance of the Moon from the Earth = (Mean Distance of the Moon from the Earth + Nutation in Longitude + Evection + Variation + Annual Equation)
  4. Distance of the Moon from the Earth = (Mean Distance of the Moon from the Earth - Nutation in Longitude + Evection + Variation + Annual Equation)
Question 13 Multiple Choice (Single Answer)

What is the formula for calculating the distance of the planets from the Earth?

  1. Distance of the Planets from the Earth = (Mean Distance of the Planets from the Earth + Perturbations)
  2. Distance of the Planets from the Earth = (Mean Distance of the Planets from the Earth - Perturbations)
  3. Distance of the Planets from the Earth = (Mean Distance of the Planets from the Earth + Nutation in Longitude + Perturbations)
  4. Distance of the Planets from the Earth = (Mean Distance of the Planets from the Earth - Nutation in Longitude + Perturbations)
Question 14 Multiple Choice (Single Answer)

What is the formula for calculating the velocity of the Moon in its orbit?

  1. Velocity of the Moon in its Orbit = (Mean Velocity of the Moon in its Orbit + Evection + Variation + Annual Equation)
  2. Velocity of the Moon in its Orbit = (Mean Velocity of the Moon in its Orbit - Evection + Variation + Annual Equation)
  3. Velocity of the Moon in its Orbit = (Mean Velocity of the Moon in its Orbit + Nutation in Longitude + Evection + Variation + Annual Equation)
  4. Velocity of the Moon in its Orbit = (Mean Velocity of the Moon in its Orbit - Nutation in Longitude + Evection + Variation + Annual Equation)
Question 15 Multiple Choice (Single Answer)

What is the formula for calculating the velocity of the planets in their orbits?

  1. Velocity of the Planets in their Orbits = (Mean Velocity of the Planets in their Orbits + Perturbations)
  2. Velocity of the Planets in their Orbits = (Mean Velocity of the Planets in their Orbits - Perturbations)
  3. Velocity of the Planets in their Orbits = (Mean Velocity of the Planets in their Orbits + Nutation in Longitude + Perturbations)
  4. Velocity of the Planets in their Orbits = (Mean Velocity of the Planets in their Orbits - Nutation in Longitude + Perturbations)
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