Planet X

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Laplace’s synchronization of the Jupiter sattelites Io-Europa-Ganymed gives to believe, that also planets can be synchronized some way.
But principle of minimal interaction action that was developed by Michael William Ovenden (1926-1987), does not apply for outer planets.
So:

Long-term changes in solar activity has not yet been sufficiently explored or explained. The cause may be some resonance with a longer period arising in the solar system, but one can not completely eliminate the influence of some remote planet X.

Behind the periphery of observed solar system there still can reside bodies that in fundamental way influence on run of the known system and stay hidden.

Even relatively small bodies can – due to large distance – notably deflect barycentre of the system and so influence on motion of other bodies, solar activity and so on.

Estimated periods

During last two centuries large scale of estimations for possible planet X was done.  The estimations usually come from computations of orbital perturbations of outer planets or comets.

* 160-300 years

164.8 years: W.H.Pickering (1928), 188 years: W.H.Pickering, "Planet T" (1931) 209.2 years: W.H,Pickering, "Planet O" (revision, 1928)     217.4 years: Le Verrier (1847), 217.8 years: A.S.Guliev (1986) 251 years: C.Powell (revision, 1987), 251.3 years: R.M.Stewart, Crommelin (1930) 272.2 years: T.J.J. See, "Oceanus" (1904),275 years: Si (1904), 282 years: Lowell (1915) 292 years: Gaillot (revision, 1909), 299 years: Lovell (1915)

*

300-400 years

302 years: Gaillot (original, 1905), 302 years: C.Flammarion 310-330 years: Dr.T.Grigull, "Hades" (revision, 1902),  317-318 years: H.E.Lau 322 years: G.Dallet (1901), 327 years: Lowell's "Planet X" 336 years: W.H.Pickering, "Planet S" (1931), 336 years: Seidelman S1 (1971) 337-426 years: A.S.Guliev (1986), 360 years: Dr.T.Grigull, "Hades" (1902) 373.5 years: W.H,Pickering, "Planet O" (original 1909), 375 years: D.Todd (1877) 396.8 years:  Tchebotarev (54 AU)

*

400-600 years

409.1 years: W.H,Pickering , "Planet O" (revision 1919)     420 years: T.J.J. See , "Trans-Oceanus" (1904) 464 years: Brudy (1972), 465 years: Gaillot (original, 1905) 494 years: C.Powell (1986), 505 years: Stephen Lowe 523.5 years: H.H.Kitzinger (original 1954, revize K.Schute) 536.1 years: Gaillot (po 1.revizi, 1909) 556.6 years: W.H.Pickering, "Planet P" (revision, 1928) 594 years: H.E.Lau

*

600-800 years

608 years: H.E.Lau, 610 years: T.J.J. See (1904) 650 years: Lowell (2.trans-neptunian),  650 years: H.H.Kitzinger (revision 1957) 656 years: W.H.Pickering , "Planet P" (revision 1931) 656 years: Seidelman P1,P2 (1971) 675.7 years: H.H.Kitzinger  (po 2. revizi, 1957), 675.7 years: K.Schute (8 comets,1950) 677 years: F.M.E.Sevin , "Transpluton" (1946) 685.8 years: F.M.E.Sevin, "Transpluton" (revision, 1946) 700 years: Witmire,Matese (1987)  758 years (685-830 years) Feitzinger a Neuhasser (analysis of comets,83±5.3 AU)

*

Over 800 years

>800 years 860 years: T.Landscheidt, "Transpluton"  1000  years: 

Tchebotarev (100 AU),  1000  years: Forbes (1900),

1019 years B.Harrington (†1993) 1030-1190 years: A.S.Guliev (1986), 1066 years: Forbes (1887)     1400 years: W.H.Pickering , "Planet P"-original;  3600 years: Sitchin (fictive Sumerian "Marduk-Nibiru") 5200 years: Forbes (1900)

Kuiper belt

Kuiper belt (30-100 AU) of asteriods (so called KBO objects) can be divided into two parts - inner 32-36 AU (180-220 years) and outer 42-46 AU (270-320 years).

Behind boundary 100 AU no object was found.

Adrian Brunini and Mario Melita tried to make this phenomenon clear (y.2002, with help of computer simulation) by existence of planet X (size of Mars) in distance c. 60 AU (see so called Kuiper cliff, i.e. marked  decrease of number of bodies in range 44-50 AU). According to Jackson and Killlen there certainly does not exist planet with mass exceeding 5 MEarth in band 40-75 AU (otherwise it appeared in perturbations of Neptune.). It is assumed that comet 2000 CR105 (observed in distance 53 AU)  is exposed to gravitational influence of unknown body  (size of  Moon or Mars, in distance c. 66 AU).

Patterns

In some planetary configurations position of possible planet X can be estimated.

E.g. the line of planetary alignment in eyars 719.29, 1147.48, 1575.66 (see Planetary patterns) slowly rotates with period approximately 4420 years.

During synodical period J-U the line J-U rotates by c. 59.189˚, i.e. after B= 428.18 years by 34.884˚.

Complete orbits is hence B* 360˚/34.884˚ = 4418.8 years.

Because angle of synchronization ω need not to be only 0˚, also other periods can be deduced:

Number Angle ω Period B*360˚/(ω+34.88˚) Orbit ? Planet X ?
0     0˚ 4418.8 years 269 AU
1   90˚  1234.3 years 115 AU
2 180˚ 717.34 years 80.1 AU
3 270˚ 505.59 years 63.5 AU
4 360˚ 390.35 years 53.4 AU
5 450˚ 317.90 years 46.6 AU Asteroid 318.13 years
6 540˚ 268.13 years 41.6 AU
7 630˚ 231.83 years 37.7 AU
8 720˚ 204.20 years 34.7 AU
9 810˚ 182.45 years 32.2 AU
10 900˚ 164.88 years 30.1 AU Neptun
15 1200˚ 124.83 years 25.0 AU (1998 QM107)
20 1800˚   84.01 years 19.2 AU Uran
144 12960˚   11.862 years 5.2 AU Jupiter

Values derived just from positions of planets Jupiter and Uranus fit also exactly the period of Neptune.

4200 years: perturbation of planets Uranus-Neptune, (U,N/2) = 4233 years   4320 years: Hindu-Babylonian basic cycle (2*2160 years) 4400 years: 4 multiple of cycle of solar  activity reversal (Charvátová) 4448 years: Stacey’s cycle Let us note that experiments to approximate motion of outer planets by 180 years or  320 years period lead to identical difficulty: ( (U,N), 9 (J,S))  = (171.44, 9 *19.86)  = (171.44, 178.74) =  4200 years (16 (J,S), 2(U,N)) = (16 *19.86, 171.44) = (317.76, 342.88) =   4300 years

Orbit with period of 390-years

Indicie

Configurations

Let us try to smooth planetary patterns of years 719.29, 1147.48, 1575.66 by circular orbit with approximately 390 year period.

Computation (according to Bretagnon heliocentric VSOP82) gives period 387.3 years (with longitude c. 157.3˚ for epoch 2451543.5), i.e. orbit at c. 53 AU (53.1 AU-53.2 AU).

Such planet X would have in observed configurations the following longitudes Lx:

Year

LJ

LS

LU

LN

LX

719,30

 47˚

 239˚

 227˚ 

 26˚

 47˚

1147,48

 86˚

 72˚

 266˚

 241˚

 86˚

1575,66

 123˚

 264˚

 303˚

 98˚

 123˚

12.4.719   16.6.1147  17.8.1575

s_X07190412 s_X11470616 s_X15750817

Such planet would have in years 2008-2012 the following longitudes [˚]:

(Bretagnon heliocentric VSOP87) 

Rok

LJ

LS

LU

LN

LX

2008,00(2007 Dec 29)

271,40

 153,05

 347,78

 321,36

 164,73

2009,00(2008 Dec 28)

301,96

 165,84

 351,68

 323,55

 165,66

2010,00(2009 Dec 28)

334,06

 178,35

 355,59

 325,74

 166,59 

2011,00(2010 Dec 29)

7,26

   190,56

 359,50

 327,94

 167,52 

2012,00(2011 Dec 29)

40,68

  202,50

     3,41

 330,13

 168,45 

Pickering’s planet?

s_X19300101

American astronomer William Henry Pickering (1858-1938) predicted in the y.1908 planet with period 373 years (51.9 AU, longitude 105˚). Later (1919) he modified its period to 409.1 years. Pluto was in the year 1930 observed at longitude 108.5˚, longitude of Pickering planet for year 1930 was 102.6˚ (longitude computed by Percival Lowell was 102.7˚), see Hypotetical planets (Paul Schlytter).

Our planet X with period 387.3 would be 1930,00(1929 Dec 29) at longitude c. 92.8˚

(LJ:72,8 ˚,LS:274,8˚, LU:17,9 ˚,LN:152,3˚, LX: 92,2 ˚), i.e. only c. 10˚ from position computed by Pickering and Lowel.

Could be the Pickering planet (in the shadows of Pluton) overlooked?

Minimal interaction

Because X/N ~ 7/3 resp. X/U ~ 14/3 positions repeats after 7 resp. 14 configurations.

When X pass near Uranus, Uranus is in perihelion, e.g. in year 1630 ( => beginning of Maunder minimum?) When X pass near Neptune, Neptune is in perihelion, e.g. in year 1879 ( àbeginning of descent to minimum?)

Uranus and Neptune

Uranus near perihelion:

1630,89 J:346,51 S:219,17 U:166,57 N:218,02 X:174,22 1630 Nov 20 
1713,77 J:341,21 S:151,75 U:161,28 N: 38,86 X:251,25 1713 Oct 5 
1796,64 J:335,98 S: 84,56 U:156,04 N:220,11 X:328,28 1796 Aug 19 
1879,52 J:330,79 S: 17,72 U:150,85 N: 41,03 X: 45,31 1879 Jul 5 
1962,39 J:325,65 S:310,78 U:145,71 N:222,21 X:122,34 1962 May 20 
2045,26 J:320,55 S:243,28 U:140,63 N: 43,19 X:199,37 2045 Apr 3 
2128,14 J:315,55 S:175,48 U:135,60 N:224,30 H:276,40 2128 Feb 17 
2211,01 J:310,57 S:108,12 U:130,63 N: 45,36 H:353,43 2211 Jan 2 

20.11.1630    05.10.1713    19.08.1796

s_X16301120 s_X17131005 s_X17960819

Neptune near perihelion:

1548,02 J:351,82 S:286,46 U:171,90 N: 36,70 X: 97,18 1547 Dec 27 
1713,77 J:341,21 S:151,75 U:161,28 N: 38,86 X:251,25 1713 Oct 5 
1879,52 J:330,79 S: 17,72 U:150,85 N: 41,03 X: 45,31 1879 Jul 5 
2045,26 J:320,57 S:243,29 U:140,63 N: 43,19 X:199,37 2045 Apr 3 
2211,01 J:310,58 S:108,13 U:130,63 N: 45,36 X:353,43 2211 Jan 2 
2376,76 J:300,83 S:335,07 U:120,87 N: 47,52 X:147,49 2376 Oct 2 
2542,51 J:291,23 S:199,49 U:111,31 N: 49,69 X:301,55 2542 Jul 2 
2708,26 J:281,87 S: 65,10 U:101,96 N: 51,85 X: 95,61 2708 Apr 1 

27.12.1547    05.10.1713    05.06.1879  

s_X15471227 s_X17131005 s_X18790705

Planetary patterns

Division into 7 parts lead in case of period X=387.3 years to value X/7 = 55.33 years, i.e.. c. half of period 110.5 years,  see Solar cycles.

Resonance with outer planets

For synodical periods the following relations approximately holds.

a/ 3-bodies

for (N,X) = 286.77 years (~24J) a (U,N)=171.44 years:   

 (U,N) :(N,X) =3:5 

Hence resonance 3/U–8/N+5/X = 0; it holds exactly for period X=389.2 years. 

for (N,X) = 286.77 years (~24J) a (S,N)= 35.87 years (~3J, Bruckner’s period): 

 (S,N) :(N,X) =1:8 

Hence resonance 1/S–9/N+8/X = 0; it holds exactly for period X=387.0 years.

b/ 4-bodies

for (U,X) = 107.30 years a (S,N)=35.87 years:   

 (S,N) :(U,X) =1:3 (R1) 

Hence resonance 1/S–3/U –1/N+3/X = 0; it holds exactly for period X=383.3 years.

for (S,X) = 31.88 years a (J,N)=12.78 years: 

 (J,N) :(S,X): =2:5 (R2) 

Hence resonance 2/J–5/S –2/N+5/X = 0; it holds exactly for period X=376.8 years.

Period of resonance R2 works out as very low, but resonance – in period, for that reliable observation of Neptune exists – is relatively well satisfied  in longitudes of planets:

(Bretagnon heliocentric VSOP87) 

Rok

LJ

LS

LU

LN

LX

R1

R2

1600,00

 139

 207

  36

 152

 145

  25

  26

1700,00

 284

 337

 103

   9

 238

  15

  57

1800,00

  90

 129

 177

 228

 331

   4

  19

1900,00

 236

 268

 250

  87

  64

 -16

   0

2000,00

  36

  46

 316

 304

 157

 -16

  23

2100,00

 189

 198

  19

 164

 250

   8

 -51

2200,00

 340

 329

  85

  21

 343

   3

 -13

(Value X=387.3 years ~ H/6 = 2318.1 years/6 = 386.4 years, where 1/H = 1/J-3/S+1/U+1/N, see Stable resonance )

Specification of position

Values of resonances computed according to relations 3/U–8/N+5/X = 0 and 1/S–9/N+8/X = 0 differ from values based on circular orbit of the planet.

Departures will be computed according to relations:

 ∆LX(U,N) = - (5*X-8*N+3*U)/5 

 ∆LX(S,N) = - (8*X-9*N+1*S)/8 

(Bretagnon heliocentric VSOP87) 

Rok

LJ

LS

LU

LN

LX

∆LX(U,N)

∆LX(S,N)

1980,00

 151

 171

 232

 261

 138.7

 -5,1

 -2,0

1990,00

  96

 286

 276

 282

 148.0

 -5,9

 -1,3

2000,00

  36

  46

 316

 304

 157.3

 -4,9

 -1,1

2010,00

 334

 178

 356

 326

 166.6

 -2,8

 -2,4

2020,00

 276

 292

  35

 348

 175.9

 -0,5

 -1,2

Hence (assuming respecting of resonances) e.g. in y.2010 planet would be expected at longitude 163.8˚÷164.2˚ (instead of 166.6˚), i.e. c. 164.4˚± 0.2˚.

(I.e. 3*LU –8*LN +5*Lx  = 3*356˚ –8*326˚ +5*164˚ ~ 0˚, resp.1*LS –9*LN +8*Lx  = 1*178˚ –9*326˚ +8*164˚ ~ 0˚)

Jupiter resonance with planet X?

Saturn-Neptune pair seems to be synchronized with pair Uranus-X, see Jupiter.

Hence higher extremes at interval of 3 Bruckner’s period (c. 107-108 years) would follows.

E.g. analysis of wood from ancient Greece c. (-600,-400)  showed  2 maxima in distance 108 years (Mariolopoulos,1962)

105 years: solar cycle (Precambrium) 107.61 years: 3*(S,N) =3*35.87 years 108 years: wood from ancient Greece 
    Conjunction U-X   Conjunction S-N 
    ------------------------------------------------------------
    (107,84) 22,79 () 16,81 (36,19) 53,01 (35,29) 88,30 
    (105,05) 127,85 (35,24) 123,53 (36,19) 159,73 (36,63) 196,36 
    (107,46) 235,31 (35,73) 232,09 (35,15) 267,25 (35,57) 302,81
    (109,68) 344,99 (36,55) 339,36 (36,41) 375,78 (35,40) 411,18 
    (106,28) 451,28 (35,18) 446,36 (36,00) 482,36 (36,72) 519,08 
    (105,44) 556,71 (36,06) 555,14 (35,18) 590,32 (35,43) 625,75
    (109,02) 665,74 (36,36) 662,11 (36,63) 698,74 (35,62) 734,36 
    (108,64) 774,38 (35,15) 769,52 (35,76) 805,27 (36,61) 841,88 
    (105,27) 879,65 (36,25) 878,13 (35,32) 913,45 (35,26) 948,71
    (106,64) 986,29 (36,14) 984,85 (36,61) 1021,46 (35,81) 1057,27 
    (109,76) 1096,05 (35,15) 1092,43 (35,57) 1127,99 (36,47) 1164,46 
    (107,02) 1203,08 (36,39) 1200,85 (35,46) 1236,30 (35,18) 1271,49
    (105,11) 1308,19 (35,98) 1307,46 (36,63) 1344,09 (36,03) 1380,13 
    (108,26) 1416,44 (35,26) 1415,39 (35,37) 1450,76 (36,36) 1487,12 
    (109,32) 1525,77 (36,61) 1523,73 (35,65) 1559,38 (35,18) 1594,56 
    (105,63) 1631,40 (35,73) 1630,29 (36,61) 1666,89 (36,28) 1703,17
    (105,82) 1737,22 (35,37) 1738,55 (35,26) 1773,81 (36,09) 1809,89 
    (109,57) 1846,79 (36,63) 1846,53 (35,84) 1882,37 (35,21) 1917,58 
    (107,93) 1954,72 (35,54) 1953,12 (36,39) 1989,50 (36,41) 2025,92
    (104,94) 2059,66 (35,48) 2061,40 (35,21) 2096,61

(Computed using simplified VSOP87.)

Transneptunian asteroids

Similarly as there exists occupied orbits in front of Jupiter (see Action of Jupiter) in ratio q=A/N =2/3 (Hilda) and q= 3/4 (Thule), we expect occupied orbits also

in front of  planet X having the same ratios.  From span X= 380-400 years we get:

Ratio

Period

Note

2/3

253÷266

264.6

3/4

285÷300

286.59, Quaoar 288.0

4/5

304÷320

318.1

 (Bodies are distributed unevenly on diagrams of Kuiper belt.Compression in opposition to planet X?).

Period 64 years

Conjunction E-R, conjunction J-N, conjunction S-X:

20.1.1882     16.1.1946     30.1.2010
ISync18820120 ISync19460116 ISync20100130
1946,05 M:246 V:288 E:117 R:115 1946 Jan 16
2010,09 M:218 V:321 E:130 R:130 2010 Jan 30

Synchronizace J-N a S-X?

(32,09)  1307,63  (12,84) 1306,70 (12,81) 1319,51 (12,81) 1332,33 (12,73) 1345,06 (12,73) 1357,79
(32,17)  1339,80
(32,20)  1372,00  (12,70) 1370,49 (12,70) 1383,20 (12,73) 1395,93 (12,76) 1408,69 (12,79) 1421,47
(32,14)  1404,14
(31,98)  1436,12  (12,84) 1434,31 (12,84) 1447,16 (12,87) 1460,02 (12,84) 1472,86 (12,84) 1485,71
(31,87)  1467,99
(31,70)  1499,70  (12,79) 1498,49 (12,73) 1511,22 (12,73) 1523,95 (12,68) 1536,63 (12,73) 1549,36
(31,62)  1531,32
(31,60)  1562,91  (12,73) 1562,09 (12,76) 1574,85 (12,79) 1587,64 (12,84) 1600,48 (12,84) 1613,32
(31,68)  1594,59
(31,76)  1626,35  (12,87) 1626,19 (12,87) 1639,06 (12,81) 1651,87 (12,76) 1664,63 (12,76) 1677,39
(31,90)  1658,25
(32,03)  1690,28  (12,70) 1690,09 (12,70) 1702,79 (12,70) 1715,50 (12,73) 1728,23 (12,79) 1741,02
(32,17)  1722,45
(32,17)  1754,62  (12,79) 1753,80 (12,84) 1766,64 (12,87) 1779,51 (12,87) 1792,38 (12,84) 1805,22
(32,17)  1786,79
(31,98)  1818,77  (12,81) 1818,03 (12,79) 1830,82 (12,73) 1843,55 (12,70) 1856,25 (12,73) 1868,99
(31,90)  1850,67
(31,70)  1882,37  (12,70) 1881,69 (12,73) 1894,42 (12,76) 1907,18 (12,81) 1919,99 (12,84)  1932,83
(31,65)  1914,02
(31,60)  1945,62  (12,84) 1945,67 (12,87) 1958,54 (12,84) 1971,38 (12,81) 1984,20 (12,79) 1996,98
(31,62)  1977,24
(31,70)  2008,95  (12,73) 2009,71 (12,73) 2022,44 (12,70) 2035,15 (12,70) 2047,85 (12,73) 2060,58
(31,87)  2040,82

Planet X and solar activity

Solar activity

We will try to observe possible influence of hypothetical planet X on solar activity - with help of theory of barycentric deflection (see Solar activity

Planet X with c. 390 year period  would influence planets Uranus and Neptune with c. 856 years period, i.e. 2B (see Babylonian period).   Synodical period of Uranus and Neptune with regard to body with c. 390 year period makes approximately: (U,X) = 107 years, (N,X) = 285 years in ratio 3:8 with common period 856 years=2B.  (Similarly e.g. for period 717 years , where (U,X) = 95 years, (N,X) = 214 years, we get ratio 4:9 with common period also 2B).

The dependence is approximated by function:

cos(2π*(x-2027)/286.8)+cos(2π*(x-2005)/107.3)+cos(2π *(x-1907)/171.4),

where 286.8=(N,X), 107.3=(U,X), 171.4=(U,N).

Influence U-N is draw in black, influence U-X in light blue and influence N-X in blue color.

Total influence in marked in red:

graph1

Comparison with graph derived from shifts of conjunctions J-S with regard to U-N (see Babylonian period ). 

graph2

Outline of solar activity

Each graph cover approximately 856 years period.

(-2706,-1850)
Opposition Maxima
U-X:-2608,-2497,-2392,-2287, -2177, -2068, -1964, -1858
U-N:-2550,-2378,-2208,-2037,-1865
N-X:-2562,-2275,-1989
Schove:

s_en_gact6

Conjunction Minima
U-X: -2448, -2337, -2230, -2126, -2018, -1907
U-N: -2465, -2294, -2123, -1952, 
N-X: -2418, -2131, -1846
Schove:
(-1850, -993)
Opposition Maxima
U-X: -1747, -1640, -1536, -1427, -1317, -1212, -1107, -996
U-N: -1694, -1522, -1350, -1178, -1005 
N-X: -1703, -1415, -1128
Schove:

s_en_gact5

Conjunction Minima
U-X: -1802, -1697, -1587, -1478, -1374, -1265, -1156, -1050
U-N: -1781, -1609, -1437, -1267, -1092
N-X: -1846, -1559, -1271
Schove: 
(-993,-137)
Opposition Maxima
U-X: -888, -784, -677, -566, -460, -356
U-N: -833, -661, -488, -316 
N-X: -842, -556, -268
Schove: Maximum of Alexandria (-350)
-246

s_en_gact4

Conjunction Minima
U-X: -946, -837, -727, -622, -517, -406, -299, -194
U-N: -919, -746, -573, -401, -230,
N-X: -984, -699, -412
Schove:
(-137,719)
Opposition Maxima
U-X: -249, -137, -33, 73, 185, 291, 396, 504, 614
U-N: -145, 27, 198, 362, 540, 
N-X: 20, 305, 592
Schove: M(186-196), M(290-302), M(354-372): Late Roman maximum (4.century),
M(501-531): Byzantine maximum (6.century), M(567-585)

s_en_gact3

Conjunction Minima
U-X: -87, 24, 129, 234, 344, 448, 557, 664
U-N: -58, 113, 284, 455, 626
N-X: -124, 163, 453
Schove: M(26- 37), M(112-157), M(203-272), M(326-336), M(380-484), 
M(613-637): Dark Age minimum (660-740)
(719,1575)
Opposition Maxima
U-X: 719, 824, 935, 1043, 1147, 1254, 1365, 1471
U-N: 711, 882, 1053, 1224, 1394, 
N-X: 872, 1167, 1452
Schove: M(714-724), M(829-840), M(925-938), 
    M(1118-1151): Middle-age maximum (1120-1210), 
    M(1362-1382): Late Medieval maximum (1360-1380)

s_en_gact2

Conjunction Minima
U-X: 663, 775, 881, 986, 1094, 1204, 1309, 1415, 1525
U-N: 797, 968, 1138, 1309, 1480
N-X: 735, 1023, 1309
Schove:  M(882-912), M(982-990), 
     M(1010-1082): Oort‘s (Norman) minimum (1010-1090),
     M(1212-1353): Wolf‘s (medieval) minimum (1260-1350), 
     M(1391-1492): Spoerer‘s minimum (1400-1510)
(1575, 2432)
Opposition Maxima
U-X: 1576, 1685, 1794, 1899, 2005, 2116, 2223, 2327
U-N: 1565, 1736, 1907, 2078, 2249,
N-X: 1739, 2027, 2313
Schove: M(1528-1581), M(1718-1738), 
    M(1769-1788): Modern maximum (1780), 
    M(2000-2020): New-age maximum, 
    M(2225-2250), 

s_en_gact1

Conjunction Minima
U-X: 1633, 1733, 1845, 1955, 2060, 2166, 2275, 2384, 2488
U-N: 1650, 1821, 1992, 2163, 2334, 2506
N-X: 1595, 1883, 2170, 2456
Schove: M(1587-1611), 
    M(1634-1698):Maunder‘s minimum (1646-1699), 
    M(1798-1823):Dalton‘s (Napoleonian) minimum, 
    M(1878-1902), M(2110-2210)

Planet X and Mayans

Mayan planet?

Period of 390 years (see above) corresponds approximately to Mayan period Baktun 394.24 years (144000 days).

Babylonian patterns - Similar configurations

We will observe configuration that satisfy the following conditions:

Jupiter near its perihelion Jupiter in opposition to Saturn Mars in opposition to Earth

We get dates:

302,80  J:  5,96 S:196,10 U:247,41 N:196,60 H: 19,76  302 Oct 17 AD

1156,94 J:  8,12 S:193,94 U:305,10 N:262,28 H: 93,68 1156 Dec  2 AD

2011,08 J: 10,01 S:191,54 U:359,83 N:328,12 H:167,60 2011 Jan 28 AD

17.10.302    2.12.1156     28.1.2011

XBabylon03021017 XBabylon11561202 XBabylon20110128

Hypothetical planet X is here always near to opposition to U and N - so these configurations will appear in periods of higher solar activity (see Planet X and solar activity).

Now let us change the second condition to:

Jupiter in conjunction to Saturn

We get dates:

-124.29 J:  5,20 S:  1,57 U:216,57 N:341,70 H:342,79  126 Sep 19 BC

 729.86 J:  7,13 S:  0,28 U:276,89 N: 49,40 H: 56,71  729 Nov  4 AD

1583.98 J:  8,03 S:358,95 U:332,33 N:116,87 H:130,61 1583 Dec 21 AD

4.11.729   21.12.1583

XBabylon07291104 XBabylon15831221

Extrapolation

Observed configurations step with Babylonian period. Twelve of such periods cover interval c. 5125 years:

-3113.81, -2886.73, -2259.66, -1832.59, -1405.51, -978.44,
 -551.36, -124.29, 302.80, 729.86, 1156.94, 1583.98, 2011.08

And the beginning and ending dates roughly make boundary of Mayan calendar according to GMT-correlation (3113 BC-2012 AD).