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Cycles - Tabulated data |
  
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Cycles - Tabulated data |
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(Apolo's reconstructions of the original Devore tables.)
Tabulated data regarding cycles discussed, are as follows:
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Remainder, in Degrees |
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Number of Conjunctions |
Tropical Years |
Zodiac of Precession |
Fixed Zodiac |
Jupiter-Saturn. |
Synodic period - |
(2 x 9.93Y) |
19.8593y |
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First order |
3 |
59.5779 |
+ 8.930862 |
+ 8.096148 |
Second order |
40 |
794.3723 |
- 0.9184 |
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43 |
853.9503 |
- 3.9553 |
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46 |
913.5282 |
+ 4.1408 |
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Remainder, in Degrees |
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Number of Conjunctions |
Tropical Years |
Zodiac of Precession |
Fixed Zodiac |
Saturn-Uranus. |
Synodic period - |
(2 x 22.68) |
45.36306y. |
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First order |
2 |
90.72613 |
+ 30.0225 |
+ 28.7553 |
Second order |
24(a) |
1088.7136 |
+ 0.5411 |
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26 |
1179.4397 |
- 1.1064 |
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Remainder, in Degrees |
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Number of Conjunctions |
Tropical Years |
Zodiac of Precession |
Fixed Zodiac |
Uranus-Neptune. |
Synodic period - |
171.4030y. |
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First order |
1 |
171.4030 |
+ 16.8520 |
+ 14.4505 |
Second order |
21 |
3599.463 |
- 6.108 |
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25 |
4285.075 |
+ 1.26 |
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Remainder, in Degrees |
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Number of Conjunctions |
Tropical Years |
Zodiac of Precession |
Fixed Zodiac |
Uranus-Pluto. |
Synodic period - |
127.2794y. |
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First order |
2 |
254.2794 |
+ 13.13298 |
+ 9.57037 |
Second order |
27 |
3432.774 |
- 2.7047 |
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37 |
4704.1689 |
- 2.948 |
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Remainder, in Degrees |
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Number of Conjunctions |
Tropical Years |
Zodiac of Precession |
Fixed Zodiac |
Neptune-Pluto. |
Synodic period - |
(2 x 247y) 492.3280y. |
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First order |
1 |
492.3280 |
+ 2.4444 |
- 4.4555 |
Second order |
147 |
72,372.25 |
+ 0.3 |
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81 |
39,878.6 |
+ 0.46 |
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In the last 2,500 years the Uranus-Neptune first order synodic period has averaged approx. 171.Oy; that of Neptune-Pluto, 493.5y, and it will become slightly longer.
The two hypothetical outermost planets indicated by the application of the Richardson formula, which are identified as X and Y, appear to answer to the following calculations:
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Revolutionary Period, in Years |
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Planet |
Distance from the Sun |
Tropical |
Sidereal |
Pluto |
39.4574 AU |
245.33 |
247.7 |
Planet X |
74.2 AU |
625 |
640. |
Planet Y |
1374 AU |
1515 |
11608. |
Their first order recurrence cycle has been approximated, as follows:
Revolutionary Period, in Years |
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Cycle |
Number of Conjunctions |
Tropical Years |
Synodic Cycle |
Pluto-X |
3 |
1230 |
410y |
X-Y |
3 |
3183 |
1061.3y |