Synchronization with Jupiter

• Influence of Jupiter
• Synchronization of inner planets
• Synchronization of pair Earth-Mars
• Model of inner planets
• Opposition with Jupiter

Influence of Jupiter

Jovian orbit has an indispensable eccentricity (c. 0.05). It is by half of astronomical unit (75 million kilometers) nearer to the Sun in perihelion than in aphelion. Jupiter seems to compress and release all the bodies in space towards the Sun.

Distant satellites of Jupiter synchronize their periods with the Sun. Their orbital periods are whole number fractions of Jovian period (J/6, J/17, ...), i.e. (722 days, 255 days,...).

Period observed in Solar wind (c. 1.3 years) seems to be also such a fraction (J/9, i.e. 1.317 years).

Synchronization of inner planets

Rates of Jovian period to synodical periods of inner planets:

J/(M,R)=  11.861983/0.2762169= 42.944451
J/(M,E)=  11.861983/0.3172552= 37.389405
J/(M,V)=  11.861983/0.3958007= 29.969586
J/(V,R)=  11.861983/0.9142273= 12.974873
J/(V,E)=  11.861983/1.5986896=  7.419816
J/(E,R)=  11.861983/2.1353487=  5.555057

Cases J/(M,R), J/(M,V) and J/(V,R) give nearly whole number ratio.

Beats:
 ((E,R),J/6)  =  (2.13535, 1.97700) =   26.660 y
 ((V,E),J/7)  =  (1.59869, 1.69457) =   28.255 y
 ((M,E),J/37) =  (0.31726, 0.32059) =   30.462 y
 ((M,R),J/43) =  (0.27622, 0.27586) =  213.563 y
 ((M,V),J/30) =  (0.39580, 0.39540) =  389.986 y
 ((V,R),J/13) =  (0.91423, 0.91246) =  472.085 y

Beats of conjunction M-V-R are higher then the other beats.
Beats ((M,R),J/43) makes nearly exactly half of the Babylonian period (B/2 = 18*J = 213.516 y).

From all combinations of synodical periods the highest value of beats is:
(((M,V),(V,R)), J/17)= (0.69798, 0.69776) = 2242.4806 y.

During 1900-2000 conjunctions M-V-R appear after passing of Jupiter through the perihelion:

 J in perihelion   M-V     M-R     V-R
 ---------------------------------------
 1904.42         1904.53 1904.52 1904.48
 1916.31         1916.39 1916.37 1916.32
 1928.19         1928.31 1928.27 1928.20
 1940.02         1940.16 1940.15 1940.13
 1951.90         1952.01 1952.00 1951.98
 1963.78         1963.93 1963.90 1963.85
 1975.61         1975.79 1975.79 1975.79
 1987.49         1987.64 1987.64 1987.65
 1999.38         1999.54 1999.52 1999.50

Synchronization of pair Earth-Mars

Let us assume, it holds:
J/(E,R)= 50/9. (11.861983/2.1353487= 5.555057).
During 50 conjunctions E-R, i.e. during c. 106.76 years (quarter of Babylonian period) Jupiter travels 9 cycles.

Model of inner planets

Let J = 11.861983 y, E = 1.0000174 y.
From (E,R') = J*9/50 = 2.1351570 y is R' = 1.8809970 y (687.0342 d).

Let also:

(M',R')= J/43= 11.861983/43= 0.2758601
(M',V')= J/30= 11.861983/30= 0.3953994
(V',R')= J/13= 11.861983/13= 0.9124602

Hence:

M'= 0.2405778 y ( 87.8710 d),     (M'/M) = 1/1.00112
V'= 0.6144125 y (224.4142 d),     (V'/V) = 1/1.00128
E = 1.0000174 y (365.2564 d),
R'= 1.8809970 y (687.0342 d),     (R'/R) = 1/1.00008
J = 11.861983 y

Let B = 36*J (c. 427.03 y, Babylonian period).
In the mentioned model it holds:
1/M'-5/V'+4/E = 8/B
3/V'-7/E+4/R' = 4/B

Opposition with Jupiter

Conjunctions of inner planets at opposition with Jupiterem (precision 30°):
1243.53, 1288.23, 1332.99;
1529.71, 1574.39, 1619.14;
1815.86, 1860.60, 1905.30.
(Distance of these triads is c. 286.15 years; 24*J= 284.7 years).

We find such configurations (precision 35°) also in years:
1905.3, 1950.1, 2005.9, 2050.6.

In years 1905-1906 and about 1950 seismicity increased. Will there be greater earthquakes also in years 2005-2006 and 2050-2051?