Figure 2.

Extension of Fig. 1 to illustrate millennial periodicity in tide raising forces since 500 B.C. The angular velocity, γ, was computed from functions listed in Table 2. Events of a 180-year cycle, all at full moon, are labeled with times of occurrence (B.C. or A.D.). The 1,800-year cycle is evident as a progression of solar-lunar declination difference, listed at the top of the figure in degrees of arc of the moon above (or below) the ecliptic.