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Mathematical Formulas for Astrological Calculations

Description: This quiz is designed to test your knowledge of mathematical formulas used in astrological calculations.
Number of Questions: 15
Created by:
Tags: astrology mathematics astronomy
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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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the sidereal time at a given longitude is ST = GMST + (longitude / 15), where ST is the sidereal time, GMST is the Greenwich Mean Sidereal Time, and longitude is the longitude of the observer.

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))

Show answer
Correct Option: A
Explanation:

The formula for calculating the ayanamsa is Ayanamsa = (279.69667 + (0.00001337 * t)), where t is the number of years since the beginning of the Kali Yuga.

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the precession of the equinoxes is Precession = (50.28794195 * t), where t is the number of years since the beginning of the Kali Yuga.

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))

Show answer
Correct Option: A
Explanation:

The formula for calculating the obliquity of the ecliptic is Obliquity = (23.4392911 - (0.0000004 * t)), where t is the number of years since the beginning of the Kali Yuga.

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))

Show answer
Correct Option: A
Explanation:

The formula for calculating the nutation in longitude is Nutation in Longitude = (17.2327 * sin(Ω) - 1.2729 * cos(Ω) - 0.2089 * sin(2Ω)), where Ω is the longitude of the ascending node of the Moon.

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))

Show answer
Correct Option: A
Explanation:

The formula for calculating the nutation in obliquity is Nutation in Obliquity = (9.2105 * cos(Ω) + 0.5532 * sin(Ω) - 0.0904 * cos(2Ω)), where Ω is the longitude of the ascending node of the Moon.

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the true longitude of the Sun is True Longitude of the Sun = (Mean Longitude of the Sun + Nutation in Longitude).

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the true longitude of the Moon is True Longitude of the Moon = (Mean Longitude of the Moon + Nutation in Longitude + Evection + Variation + Annual Equation).

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the true longitude of the planets is True Longitude of the Planets = (Mean Longitude of the Planets + Nutation in Longitude + Perturbations).

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the true latitude of the Moon is True Latitude of the Moon = (Mean Latitude of the Moon + Nutation in Latitude + Parallax in Latitude).

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the true latitude of the planets is True Latitude of the Planets = (Mean Latitude of the Planets + Nutation in Latitude + Perturbations in Latitude).

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the distance of the Moon from the Earth is Distance of the Moon from the Earth = (Mean Distance of the Moon from the Earth + Evection + Variation + Annual Equation).

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the distance of the planets from the Earth is Distance of the Planets from the Earth = (Mean Distance of the Planets from the Earth + Perturbations).

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the velocity of the Moon in its orbit is Velocity of the Moon in its Orbit = (Mean Velocity of the Moon in its Orbit + Evection + Variation + Annual Equation).

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)

Show answer
Correct Option: A
Explanation:

The formula for calculating the velocity of the planets in their orbits is Velocity of the Planets in their Orbits = (Mean Velocity of the Planets in their Orbits + Perturbations).

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