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Wednesday, 30 September 2015

The Lunar Eclipse Tetrads And The Jewish Calendar

The most spectacular thing I saw this week was the total lunar eclipse on Monday morning, which I observed from my parents' home in the New Forest - I could view it from the spare bedroom I was sleeping in.

There has been a lot of fuss made in certain circles about a tetrad and blood Moon and how these tie into Biblical prophecy. The Moon's orbit is inclined and some time back I wrote a post about the various lunar months. One of these is the draconic month of 27.21222 days, which is the time between successive crossings of the ascending node.

Basically, as the Moon's orbit is inclined, it will spend half its time above the ecliptic (the projection of the Sun's path onto the starry background) and half its time below. When it moves from below to above (as the northern hemisphere would reckon it), this is the ascending node. The synodic month - from New Moon to New Moon - is longer, and on average is 29.530589 days.

Now consider 6 synodic months - which is equal to 177.183534 days. This is 6.511 draconic months. So, if the Moon was crossing the ascending node at Full Moon, then 6 Full Moons later it would be near the descending node.

So, what can happen if conditions are right are that there is a lunar eclipse, and then lunar eclipses 6, 12 and 18 synodic months later. If these are all total eclipses, then we have what is now termed the tetrad.

And this week's was the fourth in a tetrad.

What has caused some excitement is that this fell on the Jewish festival of Sukkot, and all the total lunar eclipses in this tetrad were on Sukkot or Pesach.

Now, if you look at the Jewish calendar, then you will see that most years have 12 months - which are lunar months. So, a Full Moon will fall mid-month, every month. And the other obvious thing is that there is 6 months from Nissan (the month which Pesach falls in) to Tishri (the month that Sukkot falls in). And often there is 6 months from Tishri to Nissan.

In a tetrad, the eclipses will be 6 Jewish months apart.

So, if the first lunar eclipse of a tetrad is in the month of Nissan, then we will have the pattern:

Nissan-Tishri-Nissan-Tishri

if the first eclipse doesn't fall in a leap year. If it does, then the pattern becomes:

Nissan-Tishri-Adar Beit-Elul

Another pattern involving a leap year is possible, when the first lunar eclipse of a tetrad is in the month of Iyyar, which is the month that follows Nissan:

Iyyar-Cheshvan-Nissan-Tishri

If the first lunar eclipse of a tetrad is in the month of Tishri, then we will have the pattern:

Tishri-Nissan-Tishri-Nissan

if there are no leap years involved. If there are, then the pattern becomes:

Tishri-Nissan-Tishri-Adar Beit

or

Tishri-Adar Beit-Elul-Adar

depending on where the leap year is.

Hence, it is possible in a tetrad for two total lunar eclipses to be in Nissan (and hence fall on Pesach) and the other two to be in Tishri (and hence fall on Sukkot).

One factor in the excitement around this tetrad is that, apparently, whenever there is a tetrad where all the eclipses occur at Pesach and Sukkot, then there are significant events that happen relating to the Jewish people and/or the state of Israel - although as one list shows, these can be very tenuous (interestingly, that website declares there was no tetrad around the Crucifixion of Jesus, which not every tetrad fan agrees with - and there is a good article on the Answers In Genesis website which demonstrates that references to a blood-red moon at the Crucifixion were not a lunar eclipse).

As with Comet 1P/Halley, when you allow yourself to go a few years either side of an astronomical event, you can always find something important happening.

We can use NASA's lunar eclipse page (which has a list from 2000 BC to AD 3000)* to see where tetrads will be in the future, and a Hebrew calendar converter to see which month these fall into.

[* This also gives the number of tetrads in each century - interestingly it states there were no tetrads in the first century, listing the Pesach AD 33 eclipse as a partial - the one the previous Pesach is listed as total, but not visible from Jerusalem]

In the lists below, dates in bold are when the whole eclipse is visible from Jerusalem, and those in bold italics are where some of the eclipse is visible from Jerusalem.

Begin by looking at the rest of the twenty-first century:

2032/2033

Date Jewish month and year
25 April 2032 Iyyar 5792
18 October 2032 Cheshvan 5793
14 April 2033 Nissan 5793
8 October 2033 Tishri 5794

2043/2044

Date Jewish month and year
25 March 2043 Adar Beit 5803
19 September 2043 Elul 5803
13 March 2044 Adar 5804
7 September 2044 Elul 5804

2050/2051

Date Jewish month and year
6 May 2050 Iyyar 5810
30 October 2050 Cheshvan 5811
26 April 2051 Iyyar 5811
19 October 2051 Cheshvan 5812

2061/2062

Date Jewish month and year
4 April 2061 Nissan 5821
29 September 2061 Tishri 5822
25 March 2062 Adar Beit 5822
18 September 2062 Elul 5822

2072/2073

Date Jewish month and year
4 March 2072 Adar 5832
28 August 2072 Elul 5832
22 February 2073 Adar Rishon 5833
17 August 2073 Av 5833

2090/2091

Date Jewish month and year
15 March 2090 Adar Beit 5850
8 September 2090 Elul 5850
5 March 2091 Adar 5851
29 August 2091 Elul 5851

When we move on to the twenty-second century, there are 4 tetrads:

2101/2102

Date Jewish month and year
14 February 2101 Shevat 5861
9 August 2101 Av 5861
3 February 2102 Shevat 5862
30 July 2102 Av 5862

2119/2120

Date Jewish month and year
25 February 2119 Adar Rishon 5879
20 August 2119 Av 5879
14 February 2120 Shevat 5880
9 August 2120 Av 5880

2137/2138

Date Jewish month and year
7 March 2137 Adar 5897
30 August 2137 Elul 5897
24 February 2138 Adar Rishon 5898
20 August 2138 Av 5898

2155/2156

Date Jewish month and year
19 March 2155 Adar Beit 5915
11 September 2155 Elul 5915
7 March 2156 Adar 5916
30 August 2156 Elul 5916

That is the last tetrad for nearly 300 years - there are none in the twenty-third or twenty-fourth centuries, but when we come to the twenty-fifth century, there are 4 tetrads:

2448/2449

Date Jewish month and year
17 June 2448 Sivan 6208
10 December 2448 Kislev 6209
6 June 2449 Sivan 6209
30 November 2449 Kislev 6210

2466/2467

Date Jewish month and year
28 June 2466 Tammuz 6226
22 December 2466 Tevet 6227
18 June 2467 Sivan 6227
11 December 2467 Kislev 6228

2477/2478

Date Jewish month and year
28 May 2477 Sivan 6237
21 November 2477 Kislev 6238
17 May 2478 Iyyar 6238
10 November 2478 Cheshvan 6239

2495/2496

Date Jewish month and year
8 June 2495 Sivan 6255
2 December 2495 Kislev 6256
27 May 2496 Sivan 6256
21 November 2496 Kislev 6257

When we come to the twenty-sixth century, things pick up, with there being 7 tetrads totally within this century:

2506/2507

Date Jewish month and year
8 May 2506 Iyyar 6266
2 November 2506 Cheshvan 6267
28 April 2507 Iyyar 6267
22 October 2507 Cheshvan 6268

2524/2525

Date Jewish month and year
19 May 2524 Iyyar 6284
12 November 2524 Cheshvan 6285
8 May 2525 Iyyar 6285
1 November 2525 Cheshvan 6286

2542/2543

Date Jewish month and year
30 May 2542 Sivan 6302
23 November 2542 Kislev 6303
20 May 2543 Iyyar 6303
12 November 2543 Cheshvan 6304

2564/2565

Date Jewish month and year
29 March 2564 Nissan 6324
21 September 2564 Tishri 6325
18 March 2565 Adar Beit 6325
11 September 2565 Elul 6235

2571/2572

Date Jewish month and year
11 May 2571 Iyyar 6331
3 November 2571 Cheshvan 6332
29 April 2572 Iyyar 6332
22 October 2572 Cheshvan 6333

2582/2583

Date Jewish month and year
9 April 2582 Nissan 6342
3 October 2582 Tishri 6343
29 March 2583 Nissan 6343
22 September 2583 Tishri 6344

2589/2590

Date Jewish month and year
21 May 2589 Iyyar 6349
13 November 2589 Cheshvan 6350
10 May 2590 Iyyar 6350
2 November 2590 Cheshvan 6351

Then there is a century-straddling tetrad:

2600/2601

Date Jewish month and year
20 April 2600 Nissan 6360
14 October 2600 Tishri 6361
9 April 2601 Nissan 6361
4 October 2601 Tishri 6362

Like its predecessor, the twenty-seventh century contains 7 complete tetrads:

2611/2612

Date Jewish month and year
20 March 2611 Adar Beit 6371
14 September 2611 Elul 6371
9 March 2612 Adar 6372
2 September 2612 Elul 6372

2618/2619

Date Jewish month and year
1 May 2618 Iyyar 6378
25 October 2618 Cheshvan 6379
20 April 2619 Nissan 6379
15 October 2619 Tishri 6380

2629/2630

Date Jewish month and year
31 March 2629 Nissan 6389
24 September 2629 Tishri 6390
26 March 2630 Adar Beit 6390
13 September 2630 Elul 6390

2640/2641

Date Jewish month and year
29 February 2640 Adar 6400
23 August 2640 Elul 6400
17 February 2641 Adar Rishon 6401
13 August 2641 Av 6401

2647/2648

Date Jewish month and year
11 April 2647 Nissan 6407
5 October 2647 Tishri 6408
31 March 2648 Nissan 6408
23 September 2648 Tishri 6409

2658/2659

Date Jewish month and year
11 March 2658 Adar 6418
4 September 2658 Elul 6418
1 March 2659 Adar 6419
24 August 2659 Elul 6419

2676/2677

Date Jewish month and year
22 March 2676 Adar Beit 6436
14 September 2676 Elul 6436
11 March 2677 Adar 6437
3 September 2677 Elul 6437

After this, there is another lengthy gap, with no tetrads in either the twenty-eighth or twenty-ninth centuries, while the thirtieth century has just one:

2987/2988

Date Jewish month and year
2 July 2987 Tammuz 6747
26 December 2987 Tevet 6748
21 June 2988 Sivan 6748
14 December 2988 Kislev 6749

So, these are the tetrads for the remainder of the third millennium. We can now look at which tetrads include eclipses occurring on Pesach or Sukkot:

Tetrad Number of total eclipses on:
Pesach Sukkot
2032/2033 1 1
2061/2062 1 1
2564/2565 1 1
2582/2583 2 2
2600/2601 2 2
2618/2619 1 1
2629/2630 1 1
2647/2648 2 2

This means that in the third millennium there are 3 more occassions where there is a tetrad comprised of 2 total lunar eclipses on Pesach and 2 on Sukkot.

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