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Mathematical Methods for Astrological Timing

This quiz covers the mathematical methods used in astrological timing, including the calculation of planetary periods, transits, and progressions.

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the sidereal period of a planet?

  1. $$T = \frac{2\pi}{\sqrt{\frac{G M}{a^3}}}$$
  2. $$T = \frac{2\pi}{\sqrt{\frac{G M}{r^3}}}$$
  3. $$T = \frac{2\pi}{\sqrt{\frac{G m}{a^3}}}$$
  4. $$T = \frac{2\pi}{\sqrt{\frac{G m}{r^3}}}$$
Question 2 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the synodic period of a planet?

  1. $$T = \frac{1}{\frac{1}{T_1} + \frac{1}{T_2}}$$
  2. $$T = \frac{1}{\frac{1}{T_1} - \frac{1}{T_2}}$$
  3. $$T = T_1 + T_2$$
  4. $$T = T_1 - T_2$$
Question 3 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the elongation of a planet?

  1. $$\epsilon = \arccos{\frac{\cos{\lambda_p} - \cos{\lambda_s}}{\sin{\lambda_p}\sin{\lambda_s}}}$$
  2. $$\epsilon = \arcsin{\frac{\sin{\lambda_p} - \sin{\lambda_s}}{\cos{\lambda_p}\cos{\lambda_s}}}$$
  3. $$\epsilon = \arctan{\frac{\tan{\lambda_p} - \tan{\lambda_s}}{1 + \tan{\lambda_p}\tan{\lambda_s}}}$$
  4. $$\epsilon = \arccot{\frac{\cot{\lambda_p} - \cot{\lambda_s}}{1 + \cot{\lambda_p}\cot{\lambda_s}}}$$
Question 4 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the declination of a planet?

  1. $$\delta = \arcsin{\sin{\lambda_p}\sin{\epsilon}}$$
  2. $$\delta = \arccos{\cos{\lambda_p}\cos{\epsilon}}$$
  3. $$\delta = \arctan{\tan{\lambda_p}\tan{\epsilon}}$$
  4. $$\delta = \arccot{\cot{\lambda_p}\cot{\epsilon}}$$
Question 5 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the right ascension of a planet?

  1. $$\alpha = \arctan{\frac{\sin{\lambda_p}\cos{\epsilon}}{\cos{\lambda_p}}}$$
  2. $$\alpha = \arccos{\frac{\cos{\lambda_p}\cos{\epsilon}}{\sin{\lambda_p}}}$$
  3. $$\alpha = \arcsin{\frac{\tan{\lambda_p}\tan{\epsilon}}{1 + \tan{\lambda_p}\tan{\epsilon}}}$$
  4. $$\alpha = \arccot{\frac{\cot{\lambda_p}\cot{\epsilon}}{1 + \cot{\lambda_p}\cot{\epsilon}}}$$
Question 6 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the planetary periods?

  1. $$P = \frac{1}{\sqrt{\frac{G M}{a^3}}}$$
  2. $$P = \frac{1}{\sqrt{\frac{G m}{a^3}}}$$
  3. $$P = \frac{2\pi}{\sqrt{\frac{G M}{a^3}}}$$
  4. $$P = \frac{2\pi}{\sqrt{\frac{G m}{a^3}}}$$
Question 7 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the transits?

  1. $$T = \frac{1}{\frac{1}{P_1} + \frac{1}{P_2}}$$
  2. $$T = \frac{1}{\frac{1}{P_1} - \frac{1}{P_2}}$$
  3. $$T = P_1 + P_2$$
  4. $$T = P_1 - P_2$$
Question 8 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the progressions?

  1. $$P = \frac{1}{\sqrt{\frac{G M}{a^3}}}$$
  2. $$P = \frac{1}{\sqrt{\frac{G m}{a^3}}}$$
  3. $$P = \frac{2\pi}{\sqrt{\frac{G M}{a^3}}}$$
  4. $$P = \frac{2\pi}{\sqrt{\frac{G m}{a^3}}}$$
Question 9 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the planetary aspects?

  1. $$\theta = \arccos{\frac{\cos{\lambda_1} - \cos{\lambda_2}}{\sin{\lambda_1}\sin{\lambda_2}}}$$
  2. $$\theta = \arcsin{\frac{\sin{\lambda_1} - \sin{\lambda_2}}{\cos{\lambda_1}\cos{\lambda_2}}}$$
  3. $$\theta = \arctan{\frac{\tan{\lambda_1} - \tan{\lambda_2}}{1 + \tan{\lambda_1}\tan{\lambda_2}}}$$
  4. $$\theta = \arccot{\frac{\cot{\lambda_1} - \cot{\lambda_2}}{1 + \cot{\lambda_1}\cot{\lambda_2}}}$$
Question 10 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the planetary houses?

  1. $$H_i = \frac{360\degree}{12} + \frac{i - 1}{12}360\degree$$
  2. $$H_i = \frac{360\degree}{12} - \frac{i - 1}{12}360\degree$$
  3. $$H_i = \frac{360\degree}{12} + \frac{i + 1}{12}360\degree$$
  4. $$H_i = \frac{360\degree}{12} - \frac{i + 1}{12}360\degree$$
Question 11 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the planetary rulerships?

  1. $$R_i = \frac{360\degree}{12} + \frac{i - 1}{12}360\degree$$
  2. $$R_i = \frac{360\degree}{12} - \frac{i - 1}{12}360\degree$$
  3. $$R_i = \frac{360\degree}{12} + \frac{i + 1}{12}360\degree$$
  4. $$R_i = \frac{360\degree}{12} - \frac{i + 1}{12}360\degree$$
Question 12 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the planetary dignities?

  1. $$D_i = \frac{360\degree}{12} + \frac{i - 1}{12}360\degree$$
  2. $$D_i = \frac{360\degree}{12} - \frac{i - 1}{12}360\degree$$
  3. $$D_i = \frac{360\degree}{12} + \frac{i + 1}{12}360\degree$$
  4. $$D_i = \frac{360\degree}{12} - \frac{i + 1}{12}360\degree$$
Question 13 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the planetary debilities?

  1. $$W_i = \frac{360\degree}{12} + \frac{i - 1}{12}360\degree$$
  2. $$W_i = \frac{360\degree}{12} - \frac{i - 1}{12}360\degree$$
  3. $$W_i = \frac{360\degree}{12} + \frac{i + 1}{12}360\degree$$
  4. $$W_i = \frac{360\degree}{12} - \frac{i + 1}{12}360\degree$$
Question 14 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the planetary exaltations?

  1. $$E_i = \frac{360\degree}{12} + \frac{i - 1}{12}360\degree$$
  2. $$E_i = \frac{360\degree}{12} - \frac{i - 1}{12}360\degree$$
  3. $$E_i = \frac{360\degree}{12} + \frac{i + 1}{12}360\degree$$
  4. $$E_i = \frac{360\degree}{12} - \frac{i + 1}{12}360\degree$$
Question 15 Multiple Choice (Single Answer)

What is the mathematical formula for calculating the planetary falls?

  1. $$F_i = \frac{360\degree}{12} + \frac{i - 1}{12}360\degree$$
  2. $$F_i = \frac{360\degree}{12} - \frac{i - 1}{12}360\degree$$
  3. $$F_i = \frac{360\degree}{12} + \frac{i + 1}{12}360\degree$$
  4. $$F_i = \frac{360\degree}{12} - \frac{i + 1}{12}360\degree$$
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