Action of Jupiter

You're reading an English translation of the original Czech page.
c_jsync Jupiter – due to eccentricity of its orbit (c. 0.05)  -  is by half of astronomical unit (75 million kilometers) nearer to the Sun in perihelion than in aphelion. Thus Jupiter compresses and releases space for the bodies inside of its orbit.

Action on outer planets

Motion of Uranus
Ratio of orbital periods of Uranus and Jupiter makes approximately U/J ~ 7,  where value  7/U-1/J ~ 12*U.
So longitudes Lj-7*Lu makes stepwisely 12-gon (with interval U between vertexes).
The following table brings values Lx = (Lj-Ljp)-7*(Lu-Lup)  in time of Uranus in perihelion (Lu-Lup=0):
During period U Jupiter  makes just its 7 periods and  c. 30º more:
Lx -1310,57 -301,87 706,01 1714,16
0 0 1,3 14,0 357,4 352,1
+84,01 30 30,4 39,0 28,2 18,0
+168,02 60 57,1 65,5 56,8 50,2
+252,03 90 88,0 94,0 84,7 85,7
+336,04 120 125,6 121,5 115,3 119,2
+420,05 150 164,8 155,8 146,2 153,7
+504,06 180 197,4 195,7 176,0 188,2
+588,07 210 230,6 227,3 214,5 215,9
+672,08 240 258,6 258,1 246,8 250,8
+756,09 270 285,5 283,6 277,6 282,7
+840,10 300 314,3 308,1 303,8 315,4
+924,11 330 343,2 331,0 328,3 343,3

In the years 1379,5; 1546,3; 1714,2; 1882,1; 2050,4  (i.e. -120°; -60°; 0°;   60°; 120°)
also Neptune is near to its perihelion (as well as Jupiter and Uranus).
These years corresponds to maxima of solar activity, see P-maxima in Solar activity - resonance .

Jupiter's resonance

Period of resonance 1/S - 1/U + 1/N = 1/35.587 years corresponds to 3 Jupiter's periods (3*J).
The three outer planets Saturn, Uranus and Neptune synchronize motion with regards  to perihelion Ljp resp. aphelion Lja of Jupiter:

 LS – LU + LN +90° ~ LJ – LJp = LJ – LJa + 180° 


Jupiter's resonance - table
Instants, when Ls-Lu+Ln+90º = 0 (~perihelion) resp. Ls-Lu+Ln-90º = 0 (~aphelion) are in the column Resonance:
Resonance Perihelion * Resonance Perihelion     Resonance Aphelion * Resonance Aphelion
1311,6 1311,31 * 1738,7 1738,34     1329,9 1329.08 *  1756,4 1756,16
1347,1 1346,85 * 1773,4 1773,90      1364,0 1364,64 *  1790,7 1791,70
1382,0 1382,47 * 1809,2 1809,55      1400,7 1400,24 *  1827,9 1827,29
1418,6 1418,03 * 1845,4 1845,09      1435,6 1438,83 *  1862,3 1862,91
1452,8 1453,62 * 1879,8 1880,74      1471,2 1471,39 *  1898,3 1898,48
1489,9 1489,22 * 1916,7 1916,28      1507,6 1507,01 *  1933,8 1934,13
1524,4 1524,78 1951,0 1951,87      1541,9 1542,55 *  1968,9 1969,67
1560,4 1560,40 * 1987,6 1987,52      1578,8 1578,20 *  2005,7 2005,26
1596,0 1595,94 * 2022,6 2023,05      1613,0 1613,76 *  2039,8 2040,88
1630,9 1631,59 * 2058,0 2058.63      1649,7 1649,33 *  2076,5 2076.44
1667,8 1667,13 * 2094,4 2094.21      1685,0 1684,98 *  …
1701,9 1702,75 *      1720,0 1720,52 *


Angles  Ls-Lu+Ln+90° in time of Jupiter in perihelion P and aphelion A.

chexagon


See also Bruckner‘s cycle (below).

Differences from precise angles of the hexagon:
chexadiffs
See  Gleissberg's cycle

Action on inner planets

Period Earth-Mars
Ratio of Jupiter period to synodic period of Earth-Mars makes approximately 11.8620/2.1353487= 5.555057.
Let us assume, it holds: J/(E,R)= 50/9. During 50 conjunctions E-R, i.e. 106.76 years (quarter of Babylonian period) Jupiter makes 9 orbits.

In the following table, the differences Le-Lr of  Earth and Mars longitudes are given.
All the angles are in the time of Jupiter in perihelion.  Alignment E-R are in the first row (below header):

Le-Lr 1145,27 1252,02 1358,71 1465,49 1572,28 1679,03 1785,78 1892,56 1999,39
0 0 15,7 357,5 341,9 0,6 5,6 347,5 337,9 355,3 13,2
+11,86 200 203,9 210,3 194,1 182,7 195,3 205,0 189,7 179,8 196,2
+23,72 40 23,6 36,2 48,3 36,4 17,2 30,5 50,0 37,5 20,3
+35,58 240 237,6 223,7 234,4 246,2 233,5 218,0 228,8 250,3 238,6
+47,44 80 88,8 78,9 63,4 69,6 80,9 79,2 69,3 69,6 82,4
+59,30 280 273,9 289,1 282,4 265,0 266,4 276,7 282,8 270,2 267,0
+71,16 120 116,2 111,2 118,3 118,9 111,7 109,6 109,3 120,6 115,8
+83,02 320 324,8 320,2 303,2 310,8 323,1 321,9 308,2 307,3 322,7
+94,88 160 153,3 161,5 156,9 144,8 144,6 158,8 162,6 158,2 143,1
Inequality Earth-Mars
During period of inequality Earth-Mars (1:2), i.e. during (E,R/2) = 15.7712 years, Jupiter makes 4/3 of orbit (4/3 J= 15.8087 years).
From unstable resonance (beats c. 1781 years).

 3/J-8/R+4/E = 0 


In view of the Jupiter's perihelion the resonance (E, (R/2) makes rectangle. This rectangle is rotated 45° to  Jovian ellipse
(the principle of minimum interaction). 
Le-2*Lr-45° 1560,4 1607,85 1655,29 1702,77 1750,24 1797,67 1845,11 1892,56 1940,06 1987,54 2034.93
0 0 356,7 16,0 31,2 359,2 343,2 356,1 18,9 5,3 332,2 339,9 0,5
+11,86 90 119,9 113,7 86,8 75,6 101,0 108,5 86,1 64,8 77,6 100,6 81,4
+23,72 180 202,1 166,4 176,2 199,1 198,9 166,4 157,4 181,9 191,2 168,2 142,9
+35,58 270 259,9 277,3 295,1 285,0 250,4 259,0 279,0 280,1 246,5 240,0 261,2

Beats of synodical periods

Ratios of Jovian period to synodical periods of inner planets:

 J/(M,R)= 11.8620/0.2762169= 42.944451    J/(M,E)= 11.8620/0.3172552= 37.389405
 J/(M,V)= 11.8620/0.3958007= 29.969586    J/(V,E)= 11.8620/1.5986896=  7.419816
 J/(V,R)= 11.8620/0.9142273= 12.974873    J/(E,R)= 11.8620/2.1353487=  5.555057

Beats:

 ((E,R),J/6) = (2.13535, 1.97700)=  26.660 years
 ((V,E),J/7) = (1.59869, 1.69457)=  28.255 years
 ((M,E),J/37)= (0.31726, 0.32059)=  30.462 years
 ((M,R),J/43)= (0.27622, 0.27586)= 213.563 years
 ((M,V),J/30)= (0.39580, 0.39540)= 389.986 years
 ((V,R),J/13)= (0.91423, 0.91246)= 472.085 years
We observe that: Values J/(M,R), J/(M,V) and J/(V,R)  are nearly integers.

Beats of conjunctions M-V-R are higher then other beats.

Beats ((M,R),J/43) makes nearly exactly half of the Babylonian period (B/2 = 18*J = 213.516 years).

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

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 

Model

Let J = 11.8620 years, E = 1.0000174 years. According to (E,R') = J∙9/50 = 2.1351570 years is R' = 1.8809970 years (687.0342 days).
From (M',R')= J/43= 11.8620/43= 0.2758601, (M',V')= J/30= 11.8620/30= 0.3953994, (V',R')= J/13= 11.8620/13= 0.9124602 it follows:
M'= 0.2405778 years ( 87.8710 days),     (M'/M) = 1/1.00112
V'= 0.6144125 years (224.4142 days),     (V'/V) = 1/1.00128
R'= 1.8809970 years (687.0342 days),     (R'/R) = 1/1.00008

It holds in the mentioned model:

 1/M' -5/V'+4/E = 8/B 

 3/V' -7/E+4/R' = 4/B 

where B = 36∙J (c. 427.03 y, see Babylonian period).

Oppositions to Jupiter

c_joppos

Conjunctions of inner planets at opposition to Jupiter (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).

Similar configurations (precision 35°) were also in years: 1905.3, 1950.1, 2005.9, 2050.6.

One of the greatest solar spots was observed (Newcomb S.) 2.3.1905 (maximum, c. 1/3 of solar hemisphere).
Opposition (precision 20°) happened 22.4.1905.

In years 1905-1906 and about y.1950 seismicity increased.

Gutenberg, Richter, ∑E, interval 1904-1952:

Rok

1905

1906

1911

1917

1918

1920

1923

1933

1934

1938

1941

1946

1950

∑E>15

23.1

59.7

27.7

15.1

20.8

26.8

18.6

21.1

17.6

20.0

15.5

17.2

39.6

    Date           Interval Math.date
     137 Mar 17 AD(   0.00) ( 137.21)
     282 Jul 14 AD( 145.33) ( 282.54)
     468 Feb 18 AD( 185.60) ( 468.14)
     754 Apr 12 AD( 286.15) ( 754.29)
    1288 Mar 19 AD( 533.94) (1288.24)
    1574 May 17 AD( 286.16) (1574.41)
    1619 Feb 20 AD(  44.74) (1619.14)
    1860 Aug 10 AD( 241.46) (1860.61)
    1905 Apr 22 AD(  44.70) (1905.31)
    2191 Jun 26 AD( 286.17) (2191.49)

Action on moons and asteroids

Action on own moons

Distant satellites of Jupiter synchronize their periods with the Sun. Their orbital periods are integer fractions of Jupiter period (J/6=722 days, J/17=255 days); period observed in Solar wind (c. 1.3 years) seems to be also such a fraction (J/9=1.317 years).

Gaps in asteroid belt

Orbits and gaps  in the Mars-Jupiter belt of asteroids  are often determined by ratios:

 q = A/J = m/n 

 where A is orbital period of  asteroid.

Ratios r are more intelligible

 r= (A,J)/J = ( J-A)/A ≈ m/(n-m) 

Ratios for gaps in asteroid belt q= 1/3, 2/5, 3/7, 4/9, 5/11 correspond to r= 1/2, 2/3, 3/4, 4/5, 5/6,...,

so

 r[GAPS] = k/(k+1) 

    ---------------------------------------- (q=1/4)
    Z2  Lucretia, Berolina, Iduberga
    -------
    Z3 Vesta, Amalasuntha,  Leonce, Appenzela,  Tinchen
    ------- q=1/3  à  r=1/2
    Z4  Eunomia, Adeona, Leto, Lydia,  Maria,  Dora,  Agnia
    ------- q=2/5  à  r=2/3
    Z5  Koronis
    ------- q=3/7  à  r=3/4
    Z6  Eos (Eds?)
    ------- q=4/9  à  r=4/5
    Z7 Themis, Veritas
    ------- q=5/11 à  r=5/6
    ---------------------------------------- (q=1/2)
    Rare occupied zone also:  q= 3/5 à r=3/2. 

Occupied orbits in asteroid belt

Ratios for asteroid orbits q=2/3 (Hilda), 3/4 (Thule) have r=2/1,3/1,..., i.e.

tedy:

 r[ORBITS] = k 

Computed ratios are simplified (slewing of asteroid orbits is omitted, ratio A/J for Thule is about 0.7386, not exactly 0.75).

Bruckner’s cycle

Bruckner 35 years (33 years-36 years) climatic cycle.

The first known record of the cycle comes from y.1625 from observation of Francise Bacon. The cycle was rediscovered and described in greater detail by Eduard Bruckner in 1890.

Bruckner‘s period

Timing

Dr.Bruckner pointed to

1/ cold wet periods: 1700, 1740, 1780, 1815, 1850, 1880

2/ warm dry periods:   1720, 1760, 1795, 1830, 1860. 
see Clough, H. W.
Google:Synchronous Variations in Solar and Terrestrial Phenomena (1905)

Action of Jupiter

Resonance:

 LS – LU + LN +90° ~ LJ – LJp 

From the relation we get these extremes of Jovian actions:

1/ cold wet periods:

 1702.76,

1738.52, 1772.55, 1809.32, 1845.13, 1880.81

2/ warm dry period:

1720.64, 1755.54, 1790.94, 1827.23, 1862.97 (centers of the dates above)

Extrapolation (prediction)

The extremes of Jovian actions continue:

1/ cold wet periods:

1916.02, 1950.29, 1987.45, 2022.66, 2058.80, 2093.35

2/ warm dry period:

1933.16, 1968.87, 2005.06, 2040.73, 2076.08 (centers of the dates above)

Climatic manifestations

Bruckner data J-action minimum Note Advances of icebergs in the Alps Wet in Russia Cold in NW Europe J-action maximum Theodor Landscheidt
big fingers (BFS) & hands (BHS) 
Note
  1594.91   1600-1610     1612.86    
  1630.81   1632-1644     1649.17   S-max
  1667.52   1664-1685     1685.14   S-max
1700 1702.76    1712-1716     1720.64    
1740 1738.52 S-max 1734-1743

1736-1755

1731-1745 1755.54 1756 - BHS S-min
1780 1772.55   1767-1770 1787-1790 1771-1780 1756-1790 1790.94    
1815 1809.32 S-min 1814-1825 1806-1825 1806-1820 1827.23    
1850 1845.13   1845-1856 1841-1855 1836-1850 1862.97 1867 - BFS  
1880 1880.81   1880-1894 1871-1885 1871-1885 1898.42 1901- BFS  
  1916.02   1914-1924     1933.16 1933 - BHS S-min
  1950.29         1968.87 1968- BFS S-max
  1987.45 S-min       2005.06 2007-BFS  
  2022.66         2040.73    
  2058,80         2076.08    
  2093,35         2111.66 2111 - BHS S-min?

* NW Europe = northwestern Europe (Data according to Vilém Bölsche, Rhodes W. Fairbridge, ...)

Jovian perihelions

Resonance  LS – LU + LN +90° ~  LJ – LJp )

Jupiter near perihelion - data y.0-800 AD
           30,66      (11,88)    30,01 (11,91)    41,92 (11,86)    53,77
(35,54)    66,20      (11,83)    65,60 (11,86)    77,46 (11,88)    89,34 
(35,07)   101,28      (11,91)   101,25 (11,86)   113,10 (11,80)   124,90
(37,45)   138,73      (11,86)   136,76 (11,88)   148,64 (11,91)   160,55
(34,50)   173,23      (11,86)   172,41 (11,83)   184,23 (11,86)   196,09
(35,37)   208,60      (11,88)   207,97 (11,91)   219,88 (11,86)   231,74
(34,99)   243,59      (11,83)   243,56 (11,83)   255,39 (11,88)   267,27
(35,84)   279,43      (11,91)   279,18 (11,86)   291,04 (11,83)   302,87
(36,99)   316,42      (11,86)   314,72 (11,86)   326,58 (11,91)   338,49
(34,36)   350,78      (11,86)   350,34 (11,83)   362,17 (11,86)   374,03
(35,65)   386,43      (11,86)   385,88 (11,91)   397,79 (11,88)   409,67
(34,58)   421,01      (11,83)   421,50 (11,83)   433,33 (11,88)   445,21
(36,88)   457,89      (11,88)   457,09 (11,88)   468,98 (11,83)   480,80
(36,11)   494,00      (11,83)   492,63 (11,88)   504,51 (11,88)   516,40
(34,69)   528,69      (11,88)   528,28 (11,86)   540,13 (11,83)   551,96
(35,51)   564,20      (11,86)   563,82 (11,88)   575,70 (11,88)   587,58
(34,52)   598,73      (11,86)   599,44 (11,83)   611,27 (11,86)   623,12
(37,59)   636,32      (11,88)   635,00 (11,88)   646,89 (11,86)   658,74
(35,26)   671,58      (11,86)   670,60 (11,86)   682,45 (11,86)   694,31
(35,18)   706,76      (11,88)   706,19 (11,88)   718,07 (11,83)   729,90
(35,02)   741,78      (11,86)   741,75 (11,86)   753,61 (11,88)   765,49
(34,99)   776,77      (11,91)   777,40 (11,83)   789,23 
y.800-1600 AD
                                                                  (11,86)   801,08
          (37,62)   814,39      (11,86)   812,94 (11,88)   824,82 (11,88)   836,71
          (34,77)   849,16      (11,86)   848,56 (11,83)   860,39 (11,86)   872,24
          (35,59)   884,76      (11,88)   884,13 (11,91)   896,04 (11,86)   907,89
          (34,50)   919,25      (11,83)   919,72 (11,86)   931,57 (11,88)   943,46
          (35,87)   955,12      (11,91)   955,37 (11,86)   967,22 (11,83)   979,05
          (36,93)   992,05      (11,86)   990,90 (11,88)  1002,79 (11,88)  1014,67
          (34,77)  1026,83      (11,88)  1026,55 (11,80)  1038,35 (11,86)  1050,21
          (35,65)  1062,47      (11,88)  1062,09 (11,91)  1074,00 (11,86)  1085,85
          (34,17)  1096,64      (11,83)  1097,68 (11,86)  1109,54 (11,88)  1121,42
          (36,88)  1133,52      (11,88)  1133,30 (11,88)  1145,19 (11,83)  1157,01
          (36,03)  1169,55      (11,83)  1168,84 (11,88)  1180,72 (11,91)  1192,63
          (35,13)  1204,68      (11,86)  1204,49 (11,83)  1216,32 (11,86)  1228,17
          (35,26)  1239,94      (11,86)  1240,03 (11,91)  1251,94 (11,86)  1263,79
          (34,33)  1274,28      (11,86)  1275,65 (11,83)  1287,47 (11,86)  1299,33
          (37,48)  1311,76      (11,91)  1311,24 (11,88)  1323,12 (11,83)  1334,95
          (35,32)  1347,08      (11,83)  1346,78 (11,88)  1358,66 (11,88)  1370,54
          (35,62)  1382,70      (11,88)  1382,43 (11,83)  1394,25 (11,86)  1406,11
          (34,69)  1417,39      (11,86)  1417,96 (11,88)  1429,85 (11,88)  1441,73
          (34,94)  1452,32      (11,86)  1453,58 (11,83)  1465,41 (11,86)  1477,27
          (37,43)  1489,75      (11,88)  1489,15 (11,88)  1501,03 (11,86)  1512,89
          (35,04)  1524,80      (11,86)  1524,74 (11,83)  1536,57 (11,88)  1548,45
          (35,92)  1560,72      (11,88)  1560,33 (11,88)  1572,22 (11,83)  1584,04
          (34,20)  1594,91      (11,86)  1595,90
After y.1600 AD
                                                 (11,86)  1607,76 (11,88)  1619,64
          (35,89)  1630,81      (11,88)  1631,52 (11,86)  1643,38 (11,83)  1655,20
          (36,72)  1667,52      (11,88)  1667,09 (11,88)  1678,97 (11,88)  1690,85
          (35,24)  1702,76      (11,83)  1702,68 (11,86)  1714,53 (11,86)  1726,39
          (35,76)  1738,52      (11,88)  1738,27 (11,91)  1750,18 (11,83)  1762,01
          (34,03)  1772,55      (11,83)  1773,84 (11,88)  1785,72 (11,86)  1797,57
          (36,77)  1809,32      (11,91)  1809,48 (11,86)  1821,34 (11,83)  1833,17
          (35,81)  1845,13      (11,86)  1845,02 (11,88)  1856,90 (11,91)  1868,81
          (35,67)  1880,81      (11,86)  1880,67 (11,83)  1892,50 (11,86)  1904,35
          (35,21)  1916,02      (11,88)  1916,24 (11,91)  1928,15 (11,86)  1940,00
          (34,28)  1950,29      (11,83)  1951,83 (11,83)  1963,66 (11,88)  1975,54
          (37,15)  1987,45      (11,91)  1987,45 (11,86)  1999,30 (11,83)  2011,13
          (35,21)  2022,66      (11,86)  2022,99 (11,88)  2034,87 (11,91)  2046,78
          (36,14)  2058,80      (11,86)  2058,63 (11,83)  2070,46 (11,83)  2082,29
          (34,55)  2093,35      (11,88)  2094,17

(Computed using simplified VSOP87.)

Axial periods

Let Lj,Ls,Lu,Ln are lengths (longitudes)  of outer planets. If angles (Ls-Lj) and (Lu-Ln) are equal, axes of  S,N coincide with axes of   J,U.

Such configurations repeats with mean period: ([J,U],[S,N]) = 35.5948 years, i.e. period of c. 3 orbital periods of  Jupiter (3∙11.8620=35.5860 years).

So:

 ([J,U],[S,N]) = 3J 

In period 1500-2050 coincidence of axes  (0°, 180°)  happens always after Jupiter passing of  perihelion or aphelion (usually within 1 year).

Coincidence of axes
    J perihelion | (interval) Ls-Lj=Lu-Ln | J aphelion 
----------------------------------------------------------------
    1500.95 | (17.51) 1501.71 (18.22) 1519.93 | 1518.74
    1536.54 | (17.91) 1537.84 (17.12) 1554.95 | 1554.33
    1572.13 | (18.06) 1573.02 (18.19) 1591.21 | 1589.91
    1607.72 | (17.54) 1608.75 (18.38) 1627.13 | 1625.50
    1643.31 | (16.63) 1643.75 (18.43) 1662.19 | 1661.09
    1678.89 | (17.75) 1679.93 (17.96) 1697.89 | 1696.67
    1714.49 | (17.78) 1715.67 (17.19) 1732.86 | 1732.26
    1750.08 | (18.20) 1751.06 (18.42) 1769.48 | 1767.84
    1785.66 | (17.14) 1786.62 (18.24) 1804.86 | 1803.43
    1821.25 | (16.84) 1821.70 (18.57) 1840.27 | 1839.02
    1856.85 | (17.83) 1858.10 (17.62) 1875.72 | 1874.60
    1892.43 | (17.79) 1893.50 (17.45) 1910.95 | 1910.19
    1928.02 | (18.18) 1929.13 (18.46) 1947.59 | 1945.77
    1963.61 | (16.81) 1964.40 (18.26) 1982.66 | 1981.36
    1999.20 | (17.14) 1999.79 (18.58) 2018.37 | 2016.95
    2034.79 | (17.78) 2036.15 (17.32) 2053.47 | 2052.53

(Computed using simplified VSOP82.)

(Compare with:  2/S-1/U -> 17.869 years = 3J/2)