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In the C text, and according to my assumed time-frame for rongorongo, the Sun was should have been at the line for right ascension day *229 (= 365 - 136) in November 5, with the Full Moon having risen at the star Bharani 5 days earlier, in October 31:

manu rere - kua rere ga manu - ki te ragi eaha te nuku erua koia kua huki e niu tu ki te ariki - e ka hua ra tona rima 8

Ga. Preposed plural marker of rare usage. 1. Sometimes used with a few nouns denoting human beings, more often omitted. Te ga vî'e, te ga poki, the women and the children. Ga rauhiva twins. 2. Used with some proper names. Ga Vaka, Alpha and Beta Centauri (lit. Canoes). Vanaga.

Gaa. Gaaha, to burst, to become ruptured, to have a discharge of pus, of blood. Ku gaaha te toto o te ihu. He had a nose-bleed. E û'i koe o gaaha te îpu. Be careful not to break the bottle (lit. look out lest the bottle burst). E tiaki á au mo gaaha mai o te harakea. I shall wait for the abcess to burst. Gaatu, totora reed. Vanaga. To break, to split, to crack, to rive; fracture, fissure, break, crack, crevice (gaaha); niho gaa, toothache, broken teeth; gaamiro (miro, ship) shipwreck; gaàpu (pu 2), abortion; poki gaàpu, abortive child. T Mq.: naha, nafa, split, fissure. Ta.: aha, afa, crack fissure. Gaatu 1. Bulrush, reed. 2. (gatu).  Churchill.

Cb1-12 (392 + 12) Cb1-13 Cb1-14 Cb1-15 → Mercury Cb1-16 (408)
CLOSE TO THE FULL MOON:
April 28 (4 * 29½) 29 30 May 1 (11 * 11) 2 (2 * 61)
ν Arietis (38.5), δ, ε Ceti (38.8) μ Arietis (39.4), HEAD OF THE FLY = 35 Arietis (39.6), KAFFALJIDHMA = γ Ceti, θ Persei (39.8) π Ceti, ο Arietis (40.0), ANGETENAR = τ¹ Eridani, μ Ceti (40.2), RIGHT WING = 39 Arietis (40.9)

Bharani-2 (The Bearer) / Stomach-17 (Pheasant)

π Arietis (41.2), MIRAM = η Persei (41.3), BHARANI = 41 Arietis (41.4), τ² Eridani, σ Arietis (41.7)

TA LING (Great Mound) = τ Persei (42.4)

*1.0 = *42.4 - *41.4

'April 1 (91) 2 3 4 5
"March 18 19 (78) 20 0h (*365) 22
→ TERMINALIA → BISSEXTUM FEBR 25 (110 - 64) 26 (57) 27
CLOSE TO THE SUN:
Oct 28 29 30 31 (304 = 121 + 183) Nov 1 (*225)
ρ Lupi (221.0), TOLIMAN = α Centauri (221.2), π Bootis (221.8), ζ Bootis (221.9) 31 Bootis (222.0), YANG MUN = α Lupi (222.1), RIJL AL AWWA = μ Virginis (222.5), ο Bootis (222.9) IZAR = ε Bootis (223.0), 109 Virginis, α Apodis (223.3), μ Librae (223.8)

Al Zubānā-14a (Claws) / Visakha-16 (Forked) / Root-3 (Badger)

ZUBEN ELGENUBI (Southern Claw) = α Librae (224.2), ξ Bootis, ο Lupi (224.5)
KOCHAB (Kakkab) = β Ursae Min. (225.0), ξ Librae (225.7)

... Kochab was at the opposite side of the pole compared to Polaris, and thus also at the opposite side in the right ascension circle. It meant Kochab was not very far from the Full Moon when the Sun was at Polaris ...

... at the ancient time of Bharani the star at the North Pole was not Polaris but β Ursae Minoris - Kochab (as in Babylonian Kakkab = Star).

'Oct 1 2 3 4 5
"Sept 17 (260) 18 19 20 (304 - 41 = 263) 21
AUG 25 (*157) 26 27 28 (304 - 64 = 240) 29
Eaha te honu kua tupu i to maitaki - o te hau tea te hono huki - maro

To. 1. Particle sometimes used with the article in ancient legends; i uto to te hau, the ribbon was in the float. 2. To rise (of the sun) during the morning hours up to the zenith: he-to te raá. Vanaga. 1. Of. T Pau., Ta.: to, of. Mgv.: to, genitive sign. Mq.: to, of, for. 2. This, which. Churchill. Mgv.: To, to make a canoe of planks. Mq.: to, to build a canoe. Sa.: to, to build. Churchill.

Cb2-1 (392 + 25 = 417) Cb2-2 Cb2-3
CLOSE TO THE FULL MOON:
May 11 (131)

σ Persei (51.6)

12 (109 + 23 = 132)

no star listed (52)

13

ψ Persei (53.1)

ACRUX (α CRUCIS)
'April 14 (104 → 413 + 1) 15 (471 = 3 / 2 * 314) 16 (472 = 16 * 29½)
"March 31 (360 / 4) "April 1 (132 - 41 = 91) 2
MARCH 8 (250 - 183) 9 (132 - 64 = 68) 10
CLOSE TO THE SUN:
Nov 10 (314 → π)

NUSAKAN (Pauper's Bowl) = β Cor. Bor. (234.0), κ¹ Apodis (234.3), ν Bootis (234.7), ζ Librae (234.9)

11 (132 + 183 = 315 = 7 * 45)

θ Cor. Borealis (235.3), γ Lupi (235.6), GEMMA = α Cor. Bor., ZUBEN ELAKRAB = γ Librae, QIN = δ Serpentis, ε Tr. Austr. (235.7), μ Cor. Borealis (235.8), υ Librae (235.9)

SIRRAH (α Andromedae)
12 (4 * 79)

φ Bootis (236.2), ω Lupi, τ Librae (236.3), ψ¹ Lupi (236.7), ζ Cor. Borealis (236.9)

... In other words, the ancient Druidic religion based on the oak-cult will be swept away by Christianity and the door - the god Llyr - will languish forgotten in the Castle of Arianrhod, the Corona Borealis. This helps us to understand the relationship at Rome of Janus and the White Goddess Cardea who is ... the Goddess of Hinges who came to Rome from Alba Longa. She was the hinge on which the year swung - the ancient Latin, not the Etruscan year - and her importance as such is recorded in the Latin adjective cardinalis - as we say in English 'of cardinal importance - which was also applied to the four main winds; for winds were considered as under the sole direction of the Great Goddess until Classical times ...

'Oct 14 15 (288 = 12 * 24) 16
"Sept 30 (273 = 314 - 41 = 3 * 91) "Oct 1 (91 + 183 = 274) 2
SEPT 7 (314 - 64 = 250) 8 9

In overview:

April 17 (472)

13

May 1

12

May 14 (500)

Cb1-1

Cb1-15

Cb2-4 (28)

Oct 17 (290) Nov 1 Nov 14 (318)

I.e., we should look at Cb1-19 (= Cb1-15 + 4) in order to find where the Full Moon was in November 5 (309).

Moving ahead 41 glyphs in the text will then bring us to "November 5, to Cb3-11 (19 + 41 = 60):

te taketake henua kiore - henua

Take. The Marquesans are the only people who own to a distinctive national name, and retain a tradition of the road they travelled from their original habitat, until they arrived at the Marquesan Islands. They call themselves te Take, 'the Take nation'. Fornander. Take, Tuvaluan for the Black Noddy (Anous Minutes). The specific epithet taketake is Māori for long established, ancient, or original. In the Rapa Nui mythology, the deity Make-make was the chief god of the birdman cult, the other three gods associated with it being Hawa-tuu-take-take (the Chief of the eggs) his wife Vie Hoa and Vie Kanatea. Wikipedia.

Cb3-10 (392 + 59 = 451 = 11 * 41) Cb3-11 Cb3-12 (61)
manu rere tagata - hanau hia kiore - henua
Cb3-13 (392 + 62 = 454) Cb3-14 (63) Cb3-15
henua kua hoi kua ka te ahi o te henua o te henua kua hoi ko te henua kua vero te ahi kiore - henua
Cb3-16 Cb3-17 Cb3-18 Cb3-19 (68) Cb3-20
manu rere i te taketake te henua - mau i te taketake manu rere kiore - henua
Cb3-21 Cb3-22 (15 + 8 * 7) Cb4-1 (392 + 72 = 464) Cb4-2 (73)

And June 16 (167) + 183 = 350 (December 16) = "November 5 (309) + 41:

13

4

8

31

April 17 (472)

May 1 (121)

May 6 (126)

May 15 (500)

June 16 (532)

Cb1-1

Cb1-15

Cb1-19

Cb2-4

Cb3-12 (61)

First Point of Aries

Bharani

*46

Tau-Ono (*55)

Wezn (*87)

29 + 32 = 61

CLOSE TO THE SUN:
Oct 17 (290) 13 Oct 31 (121 + 183) 4

Nov 5 (309)

8

Nov 14 (318)

31

Dec 16 (350)

"Sept 6 (290 - 41)

"Sept 20 (263)

"Sept 25 (268)

"Oct 4 (277)

"Nov 5 (309)

However, it is possible that the date "November 5 - when Pure O left with his canoe - was meant to refer to the date in a leap-year, in which case the day number would not be 309 but 310. If so, it means we ought to adjust the correlations between the stars and the dates:

manu moe ra ki to mata e nuku mata
May 4 5 (125 = 5 * 5 * 5) 6 (391)
Cb1-18 (→ 4 * 29½) Cb1-19 Cb1-20
  3h (45.7)

ALGOL = β Persei (45.9)

 

... Perseus lies next to his beloved Andromeda. Nearby are her parents Cepheus and Cassiopeia, as well as the monster, Cetus, to which she was sacrificed. Pegasus the winged horse completes the tableau. Perseus himself is shown holding the Gorgon’s head. The star that Ptolemy called ‘the bright one in the Gorgon head’ is Beta Persei, named Algol from the Arabic ra’s al-ghul meaning ‘the demon’s head’. (As an aside, al-ghul is also the origin of our word alcohol - quite literally ‘the demon drink’.) Algol is the type of star known as an eclipsing binary, consisting of two close stars that orbit each other, in this case every 2.9 days ...

CLOSE TO THE SUN:
Nov 3 (307 = 124 + 183) 4 5 (309)
"Sept 23 (266 = 307 - 41) 24 25 (268)
"Sept 23 (267 = 307 - 42) 24 25 (269)
  15h (228.3)

ZUBEN HAKRABIM = ν Librae (228.3), λ Lupi (228.9)

 

It seems reasonable to guess the creators of Manuscript E were inspired by the Head of the Medusa, cut off by Perseus, with Algol rising 4 days after Bharani.