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Let's try to insert the explorers' dates according to my tentative interpretation of Manuscript E:

'February 23 (54) 24 25 22
He Anakena 23 24 25
no glyph
Ca1-1 Ca1-2
koia ki te hoea
Al Fargh al Thāni-25 / Uttara Bhādrapadā-27 / Wall-14 χ Pegasi (340.4), θ Andromedae (341.0)
Caph, SIRRAH (338.8), ε Phoenicis (339.1) ALGENIB PEGASI (340.0)
Alchita, Ma Wei (156.1), Minkar (156.7), ρ Centauri (156.9) Pálida (157.6), Megrez (157.9) Hasta-13 / Chariot-28
GIENAH (158.1), ε Muscae (158.2), ζ Crucis (158.4), Zaniah (158.9)
'March 19 20 (80) 0h (365.25) 21
Hora iti 19 20 21
Ca1-25 Ca1-26 Ca2-1 (27)
kiore ki te huaga kua moe ki te tai. Te heke
no star listed ANA-NIA Al Sharatain-1 / Ashvini-1 / Bond-16
POLARIS, Baten Kaitos (364.8), Metallah (365.1)  Segin, Mesarthim, ψ Phoenicis (0.2), SHERATAN, φ Phoenicis (0.4)
τ Bootis (181.2), Benetnash (181.5), ν Centauri (181.7), μ Centauri, υ Bootis (181.8) no star listed 12h (182.6) Muphrid (183.1), ζ Centauri (183.3)
'March 22 23 24 (84) 25 26
Hora iti 22 23 24 25 26
Ca2-2 Ca2-3 Ca2-4 (30) Ca2-5 Ca2-6
erua tagata te henua tagata oho ki tona huaga kua oho
ι Arietis (1.0), λ Arietis (1.2) Alrisha, χ Phoenicis (2.2), Alamak (22.7) κ Arietis (3.3), Hamal (3.5)

Alkes

η Arietis (4.9) no star listed
φ Centauri (184.0), υ¹ Centauri (184.1), υ² Centauri (184.8), τ Virginis (184.9) Agena (185.1), θ Apodis (185.5), Thuban (185.8) χ Centauri (186.0), Menkent (186.1) Neck-2 Al Ghafr-13 / Svāti-15
Asellus Tertius, κ VIRGINIS, 14 Bootis (187.8) 15 Bootis (188.2), ARCTURUS (188.4), Asellus Secundus (188.5), SYRMA, λ Bootis (188.6), η Apodis (188.8)
'March 27 28 (88) 29
Hora iti 27 28 29
Ca2-7 Ca2-8 Ca2-9 (35)
manu rere e tara tua tagata oho
θ Arietis (6.3), Mira (6.7) no star listed ξ Arietis (8.0)
ι Lupi, 18 Bootis (189.3), Khambalia (189.4), υ Virginis (189.5), ψ Centauri (189.6), ε Apodis (189.8) Asellus Primus (190.8) τ Lupi (191.1), φ Virginis (191.7)

Fomalhaut

Asellus Primus is θ Bootis, which might explain the tara glyph at Ca2-8:

Egyptian nfr Phoenician teth Greek theta Θ (θ)

... The form of the letter θ suggests a midline ('waist'), although the origin of θ is the Phoenician tēth which means 'wheel'. This in turn could have originated from a glyph named 'good' which in Egypt was nfr ...

... θ is the last star in the Ara constellation, and the ancient meaning of this letter was described as a wheel by the Phoenicians but for the Egyptian it meant 'good. When the wheel of time has come full cycle around and the upside down fire-altar is in the past the times ahead should be good (or lucky Sa'ad) ...

The time order is reversed from Asellus Tertius to Asellus Primus and beyond Hora iti 29 (in Manuscript E) there is no longer any sequence of definite dates:

Arrrival at Rangi Meamea

He Anakena 23 53 28

Stay at Oromanga

- 53 + 28 = 81

Departure for Papa O Pea

Hora iti 20

Stay at Papa O Pea

- 81 + 6 = 87

Departure for Ahu Akapu

Hora iti 26

Stay at Ahu Akapu

- 87 + 3 = 90

Departure for Pu Pakakina

Hora iti 29
 

Stay at Pu Pakakina

- etahi marama 59 (?)

Departure for yam plantation

Hora nui 1 -

Stay at yam plantation

- etahi marama

As a further Sign the date Hora nui 1 is an obvious contradiction to the flow of time past Hora iti 29 - more than one month (etahi marama) earlier. Is there some kind of jump in calendar time here? A jump which will bring us from the end of 'March to the end of 'April?

I think the explanation could have something to do with the 'Covering' (Al Ghafr), the 13th Arab manzil, which was visible in the night sky. Possibly at the opposite side of the sky it was the time of 'uncovering', coming forth. To enable the Sun King to take his residence at Hanga Moria One:

Te Pu Mahore

Te Poko Uri

1 Te Manavai 2 Te Kioe Uri 3 Te Piringa Aniva

4

Te Pei

10

Tama (*)

16

Mahatua

5

Te Pou

11

One Tea (†)

17

Taharoa

6

Hua Reva

12

Hanga Takaure

18

Hanga Hoonu

7

Akahanga (†)

13

Poike

19

Rangi Meamea

8

Hatinga Te Kohe

14

Pua Katiki

20

Peke Tau O Hiti

9

Roto Iri Are

15

Maunga Teatea

21

Maunga Hau Epa

22

Oromanga

23

Hanga Moria One

24

Papa O Pea

25

Ahu Akapu

birthplace of the new king

residence of the current king

residence for the future king

residence for the abdicated king

26 Te Pito O Te Kainga

Tagata in Ca2-9 could have his hands up in a 'cloud cover', making them invisible. From these clouds the 'Bull' (the spring Sun king) would eventually break through:

Explorers greet Hotu Matua

Tangaroa uri 15

Departure of the explorers for Hiva

Tangaroa uri 20

North of the equator the Rain God first sailed across the horizontal Sea, then came down the slope from the clouds and landed on the surface of the Earth, imprinting his presence: