[DAWSON] SOLAR AND LUNAR CYCLES IN BOOK OF DANIEL 



49 



Cycle.— 504 lunar years = 178,001 days. This cycle gives a constant value 

 for the lunar year, independently of the epoch. 



Cycle-value of lunar year = 178601 days ^ 504 =^ 354.3670635 



At Epoch 50 A.D. Cycle, 1727 years = 1780 lunar years. 



Lunar year = 1727 x 365.2423106 = 354.3671182 



1780 



At Epoch 600 B.C. Cycle, 1040 years = 12863 lunations. 



Lunar year = 12480 x 365.2423508 = 354.3671413 



12863 



The lunar year at the various epochs. — Computed from JSTeison's 

 value for the synodic month, as a basis; the limiting values of the 

 secular acceleration, corresponding to 6" and 9" respectively, being 

 applied to this. The term acceleration is, of course, used in relation to 

 the forward progress of time, corresponding with a longer lunar year 

 in past centuries. 



Epoch 1900 A.D. Nelson's value already adopted 354.36706-44. 



(The other two values given in the table, 

 are from the Annuaire, Bureau des Longi- 

 tudes, and Newcomb's determination.) 



Epoch 50 A.D. 



(Acceleration 6") 354.8670644 + (ISVa x .00000245) = 354.3671097 



(Acceleration 9") 354.3670644 + (ISi/o x .00000368) = 354.3671325 



Epoch 600 B.C. (Acceleration 6") Same method as above = 354.3671256 

 (Acceleration 9") Same method as above = 354.3671564 



The results are summarized in a convenient form for comparison 

 in the table following. These results are lunar in appearance only; 

 because the solar year is taken as a basis for calculations throughout. 



Epoch. 



A.D. 



1900 



A.D. 

 50 



B.C. 

 600 



I 9" 



r 



I 9" 



Lunar month and year. Values 

 at each epoch, allowing; for the 

 secular acceleration indicated. 



d. h. m. s. 

 12 :44 : 2-816 



12 : 44 : 2-864 

 12 :44 : 2-900 



29 :12 :44 : 3190 

 29:12:44:3-354 



29: 12 :44 :3-304 

 29 : 12 : 44 : 3-526 



days. 

 354-3670578 



354 3670644 



354 3670694 



354.3071097 

 354-3671325 



354-3671256 

 354-3671564 



S 5 o o ?:' 

 — — *^ '• a 



days. 

 354-3670635 



354.3671182 



Description of the 

 three Daniel cycles. 



Lunar year and day. 

 504 lunar y'rs = 178601 

 davs. 



Solar and lunar vear. 

 1727 years = 1780" lunar 

 years. 



I Solar year and month. 

 354-3671413 1040years = 12863 luna- 

 tions. 



Sec. III., 1905. 4 



