Eclipse year

• Definition
• Synchronization with conjunctions Earth-Mars
• Solar activity
• Conjunctions Earth-Mars-Saturn
• Babylonian period
• Conjunctions Uranus-Neptune

Definition

Eclipse year is period, with which line of lunar nodes points to the Sun. Line of nodes circle opposite direction to motion of Earth (with period c. 18.6 y). Eclipse year is little bit shorter than solar year, it takes approximately:
Ey = (1.0,-18.6134) = 0.94901 y, 346.62 days.

Both ends of the line points to the Sun with period c. 346.6/2=173.3 days.

Period Ey is approximate fraction of Jovian period and period of conjunctions Earth-Mars:

• 346.607148 dní: J*2/25
• 346.620031 dní: eclipse year
• 346.638272 dní: (E,R)*4/9

Synchronization with conjunctions Earth-Mars

Line of lunar nodes (Ln) points from Earth (E) to Mars (R) with period:
Y = 4*(E,R) = 9*(E,Ln), i.e. 8.5413 years (c. 3120 days).

Conjunctions E-Ln-R:
 1916.03 (January)       2027.06 (January)
 1924.61 (August)        2035.61 (August)
 1933.15 (February)      2044.14 (February)
 1941.66 (September)     2052.69 (September)
 1950.23 (March)         ....
 1958.75 (October)
 1967.27 (April)
 1975.85 (November)
 1984.35 (May)
 1992.92 (December)
 2001.44 (June)
 2009.99 (December-January)
 2018.57 (July)

After 13 of such periods (111.04 y) cycle returns to the same season. (To observe this phenomenon, calendar with 13 months would be better.)

Period 111.050 y was derived by Wood as period of lunar tides. Period 112 y (4*28 y) was used by so called "weather calendars" or "centennial calendars".
Axial period [U,N]=111.2909 years.

Conjunctions E-Ln-R (outline) [link lost]

Solar activity

The following schema brings data of conjunctions of Earth (E), Mars (R) and line of lunar nodes (Ln) on the left and data of solar activity extremes (Smin, Smax) on the right.

 E-Ln-R             Smin    Smax
 --------------------------------------------
 1894.7     -            -        1894.1
 -         1899.0        1901.7  -
 1903.2     -            -        1907.0
 -         1907.5        -        -
 1911.8     -            1913.6  -           Hale minimum
 --------------------------------------------
 -         1916.0        -        1917.6
 1920.3     -            1923.6  -
 -         1924.6        -        1928.4
 1928.9     -            -        -
 -         1933.1        1933.8  -           Hale minimum
 --------------------------------------------
 1937.4     -            -        1937.4
 -         1941.7        1944.2  -
 1946.0     -            -        1947.5
 -         1950.2        -        -
 1954.5     -            1954.3  -            Hale minimum
 --------------------------------------------
 -         1958.8        -        1957.9
 1963.0     -            1964.9  -
 -         1967.3        -        1968.9
 1971.6     -            -        -
 -         1975.9        1976.5  -            Hale minimum
 --------------------------------------------
 1980.1     -            -        1979.9
 -         1984.4        1986.8  -
 1988.7     -            -        1989.6
 -         1993.0     -        -
 1997.2     -            1996.4  -            Hale minimum
 --------------------------------------------

Landscheidt's model of synchronization of climatic oscillations (El Niòo,..) with solar activity assume shift cca 0.382 W, where W is Wolf cycle (c. 11.1 y). (Theodor Landscheidt connect the number 0.382 with golden section.)

Let us note, that: Y/(2W) = 8.54/22.2 = 0.385.

Differences between Hale minima are 10*(E,R) = 21.35 let, in observed interval (1900-2000). The same does not hold for a wider interval (cycles become longer).

Conjunctions Earth-Mars-Saturn

Conjunctions E-Ln-R would be synchronized with conjunctions E-R-S.

Both phenomena coincide in years:
 1813.55, 1830.63, 1847.74, 1864.84, 1881.92, 1898.99,
 1916.05, 1933.12, 1950.21, 1967.28, 1984.38

These conjunctions would be really synchronized only if it holds:
17/E+16/S-33/R = 0 (stable rezonance with period cca 414.7 y).

Babylonian period

Babylonian period is distinct period of motion of inner planets. It is 427 years approximately. (Simulations with Bretagnon data establish especially part 2/3 of this period, i.e. period c. 284-287 years).

It holds approximately:
B/2 = 25*Y = 100*(E,R) = 225*(E,Ln) = 18*J,
so 2*(E,R)/J = Y/2/J = 9/25.

Conjunctions Uranus-Neptune

Data in the following table progress in the rough with Babylonian period 427 years. On the left are instants of conjunctions E-Ln-R and instants of Jupiter in perihelion.

 E-Ln-R       Jp            U-N
 ---------------------------------
 -2021.55  -2022.63
 -1594.48  -1595.57     <- (-1605.74)
 -1167.41  -1168.50
 -740.34    -741.44     <- ( -745.20)
 -313.26    -314.37
  113.81     112.69     <- (  111.19)
  540.88     539.76
  967.94     966.83     <- (  965.47)
 1395.01    1393.90
 1822.08    1820.97     <- ( 1821.01)
 2249.15    2248.04
 2676.22    2675.11     <- ...

Possible correlations with conjunctions Uranus-Neptune are marked on the right.

If mean period (U,N) was 170.813 let, then it would be equal to 20* Y= 80* (E,R)= 240 z. It would have integer ratio to Babylonian period (2:5), to 1025 years period of polar lights G.L.Siscoe (1:6) and also to Mayan period M=5125 let (1:30).

The following data (with period M/5 = 5125/5 = 1025 y) seams to apear near to minima on Eddy diagram of solar activity:
-9625,-8600,-7575,-6550,-5525,-4500,-3475, -2450,-1425, -400, 625, 1650, (2675), (3700).

These data (with period M/3 = 5125/3 = 1708 y) remind great eruptions of vulcanoes:
-5049 ?, -3341 Avelino, -1633 Thera, 75 Vesuv, 1783 Laki, 3491 ?.

See Overlapping of cycles.