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§731 (sequel-2) The age of re-innovation is at hand (the first year of the 20th century): I-16.

I-16 (§731 sequel-2).

d) Comparison of our astronomical calculations with those by Horizons On-Line Ephemeris System (SSD, JPL, NASA) concerning the aphelion of Saturn.

In order to confirm the results of our astronomic calculations, we try to compare them with those pruduced by Horizons On-Line Ephemeris System, JPL, NASA (
http://ssd.jpl.nasa.gov/horizons.cgi, 2009; telnet ssd.jpl.nasa.gov 6775, 2017; https://ssd.jpl.nasa.gov/horizons.cgi, 2017). It is to be remarked that the Reference Epoch of these ephemerides is J2000.0 (: JD = 2451545.0), then, to compare their data with ours based upon the Reference Epoch of 1900 I 1.5 UT (: JD = 2415021.0), it is necessary to adjust these two Reference Epochs to one another. It is a problem of general precession.

General Precession (GP): According to Dr. Kho Nagasawa [
長澤工] in his Computation of positions of celestial bodies [『天体の位置計算』], Chijinshokan [地人書館], Tokyo, 1992, p.155, the calculating procedure of the general precession is formulated as follows: 0º.0139632t + 0º.0308333 × 10-6 t2 + 0º.056 × 10-9 t3. Now, t is the span of time measured since the epoch (= J2000.0) in terms of one Besselian year of 365.242194 days. Horizons On-Line Ephemeris System offers us the orbital elements of Saturn, whose OM (OMEGA: longitude of the ascendant node, in degrees) and W (w, argument of the perifocus = argument of the perihelion, in degrees) makes the longitude of perihelion of Saturn. The value of this longitude of perihelion must be revised by means of subtraction of that of general precession in the perspective of the past starting from the epoch: 2000-1-1-00:00 CT (: JD = 2451544.5). Then, the longitude of aphelion (in opposition to its perihelion) of Saturn is the sum of OM + W + GP (negative value) + 180º (reduced to 0º - 360º). (The cells in gray represent the time of retrogradation of Saturn).

Table §731d: Computations by Horizons.

Year

M
o
n
th

Day

Hour:
LMT at
 Paris (2.4º E, 48.9º N).

Aphelion
by
Horizons:
OM + W
+ GP
(CT+
0:09:36)

OM

GP

W

1600

1

1

0:00

268°.1391

114.7571

-5.5839

340.2742

1650

1

1

0:00

269.4474

114.633

-4.8857

338.3918

1700

1

1

0:00

266.5334

114.4954

-4.1876

336.2256

1750

1

1

0:00

269.1915

114.4507

-3.4897

338.2305

1770

1

1

0:00

270.0919

114.3194

-3.2105

338.983

1800

1

1

0:00

271.1026

114.2435

-2.7918

339.6509

1810

1

1

0:00

270.0143

114.204

-2.6522

338.4625

1820

1

1

0:00

267.2161

114.1858

-2.5127

335.543

1830

1

1

0:00

270.1676

114.1313

-2.3731

338.4094

1840

1

1

0:00

272.8952

114.0631

-2.2335

341.0656

1841

1

1

0:00

271.9028

114.0854

-2.2195

340.0369

1842

1

1

0:00

270.5075

114.1102

-2.2056

338.6029

1842

1

26

3:00

270.4835

114.1274

-2.2046

338.5607

1842

2

1

0:00

270.4131

114.1186

-2.2044

338.4989

1842

2

5

0:00

270.2245

114.0918

-2.2042

338.3369

1842

2

10

0:00

270.3688

114.1192

-2.204

338.4536

1842

2

20

0:00

270.185

114.0964

-2.2037

338.2923

1842

3

20

0:00

270.2391

114.1232

-2.2026

338.3185

1842

4

23

21:34

269.9392

114.103

-2.2013

338.0375

1842

4

30

21:00

270.032

114.1183

-2.201

338.1147

1842

5

10

18:10

269.8341

114.0989

-2.2006

337.9358

1842

6

15

0:00

269.7023

114.101

-2.1993

337.8006

1842

7

20

0:00

269.7151

114.1196

-2.1979

337.7934

1842

9

2

13:10

269.3421

114.1031

-2.1962

337.4352

1842

9

9

6:18

269.5514

114.1255

-2.196

337.6219

1842

9

12

6:08

269.4064

114.1151

-2.1959

337.4872

1842

11

15

0:00

269.1614

114.1152

-2.1934

337.2396

1842

12

10

0:00

269.1353

114.1156

-2.1925

337.2122

1843

1

1

0:00

269.0588

114.1176

-2.1916

337.1328

1844

7

1

0:00

267.6062

114.1293

-2.1707

335.6476

1845

1

1

0:00

268.0422

114.0921

-2.1637

336.1138

1846

1

1

0:00

268.6644

114.0921

-2.1497

336.722

1847

1

1

0:00

269.6609

114.1187

-2.1358

337.678

1847

1

10

0:00

269.4423

114.1645

-2.1355

337.4133

1847

1

18

0:00

269.8048

114.0969

-2.1351

337.843

1847

2

1

0:00

269.6754

114.1382

-2.1346

337.6718

1847

3

1

0:00

269.5288

114.1899

-2.1335

337.4724

1847

4

1

0:00

269.6662

114.1855

-2.1323

337.613

1847

8

15

0:00

270.535

114.0807

-2.1272

338.5815

1848

1

1

0:00

270.7057

114.1678

-2.1218

338.6597

1849

2

15

0:00

271.724

114.2093

-2.1061

339.6208

1850

3

15

0:00

272.8308

114.0709

-2.0911

340.851

1860

1

1

0:00

272.6634

114.0435

-1.9544

340.5743

1870

1

1

0:00

270.6109

114.0108

-1.8147

338.4148

1880

1

1

0:00

267.4939

114.0347

-1.6752

335.1344

1890

1

1

0:00

270.4136

113.9968

-1.5356

337.9524

1900

1

1

0:00

272.8121

113.9536

-1.396

340.2545

1901

1

1

0:00

271.511

113.9344

-1.3821

338.9587

1901

4

26

4:44

271.2085

113.9575

-1.3777

338.6287

1901

5

1

01:27

271.0764

113.9450

-1.3775

338.5090

1901

6

1

0:00

270.9906

113.9492

-1.3763

338.4177

1901

7

10

0:00

270.6536

113.9309

-1.3748

338.0975

1901

8

19

2:00

270.676

113.9504

-1.3733

338.0989

1901

8

21

0:00

270.5602

113.942

-1.3732

337.9914

1901

8

21

5:00

270.5495

113.9412

-1.3732

337.9815

1901

8

22

0:00

270.508

113.9381

-1.3732

337.9431

1901

8

25

0:00

270.4039

113.93

-1.373

337.8469

1901

8

30

22:59

270.6476

113.9501

-1.3728

338.0704

1901

9

7

0:00

270.4271

113.9379

-1.3725

337.8617

1901

9

14

14 :19

270.5199

113.9448

-1.3723

337.9474

1901

10

31

0:00

270.2234

113.9389

-1.3705

337.655

1901

11

28

15:00

269.9872

113.9344

-1.3694

337.4222

1902

1

1

0:00

269.896

113.9367

-1.3681

337.3274

1910

1

1

0:00

273.4645

113.9162

-1.2564

340.8047

1920

1

1

0:00

274.5728

113.9472

-1.1169

341.7425

1930

1

1

0:00

271.8031

113.8868

-0.9772

338.8935

1940

1

1

0:00

268.6216

113.7445

-0.8377

335.7148

1950

1

1

0:00

270.5393

113.868

-0.698

337.3693

1960

1

1

0:00

272.3541

113.7833

-0.5584

339.1292

1961

1

5

4:49

270.7065

113.7679

-0.5443

337.4829

1961

2

18

21:17

270.7254

113.7711

-0.5426

337.4969

1961

3

15

7:55

270.4926

113.7693

-0.5417

337.265

1961

5

9

17:54

270.3694

113.7688

-0.5395

337.1401

1961

5

25

19:36

271.8274

113.945

-0.5389

338.4213

1961

8

12

10:47

270.0278

113.7645

-0.5359

336.7992

1961

9

23

15:37

269.7651

113.7707

-0.5343

336.5287

1961

9

27

20:32

269.9148

113.7613

-0.5341

336.6876

1962

1

1

0:00

269.5895

113.7576

-0.5305

336.3624

1970

1

1

0:00

274.0254

113.7637

-0.4188

340.6805

1980

1

1

0:00

275.4515

113.7365

-0.2792

341.9942

1990

1

1

0:00

272.5459

113.6735

-0.1396

339.012

1991

1

1

0:00

273.2075

113.678

-0.1256

339.6551

1992

1

1

0:00

273.6481

113.6624

-0.1117

340.0974

2000

1

1

0:00

269.5931

113.6931

0

335.9

2000

12

31

0:00

271.1437

113.6332

0.0139

337.4966


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We have covered 143 quatrains (§588-§730) concerning the World Events in the 19th century after Napoleonic ages [1821-1900] in the Prophecies of Nostradamus, and 219 in the 20th [1901-2000] (§731-§949).

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