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According to Manuscript E king Hotu arrived to Easter Island in Tangaroa Uri 15 and at the ancient time when 0h had been at Haedus II this was 178 (= 6 * 29½ + 1) days after the March equinox. In rongorongo times it was in November 29 (333) and 178 + 75 = 253 days after the March equinox:

6 'stones' (tau ono)
1 Vaitu Nui (29) 2 Vaitu Potu (31)   3 He Maro (29) 4 He Anakena (31)   5 Hora Iti (29) 6 Hora Nui (29)
'April' (30) 'May' (31) 'June' (30) 'July' (31) 'August' (31) 'September' (30)
60 60 58
178 = 177 + 1
177 = 6 * 29½
7 Tagaroa Uri (31)  8 Ko Ruti (29) 9 Ko Koró (29)   10 Tua Haro (29)  11 Tehetu'upú (28) 12 Tarahao (31)
'October' (31) 'November' (30) 'December' (31) 'January' (31) 'February' (28) 'March' (31)
Gb5-17 Gb5-18 Gb5-19 (372) Gb5-20 (144) Gb5-21
MARCH 26 27 28 (*7) 29 (88) 30 (454)
no star listed (69) no star listed (70) Tabit (71.7), π² Orionis (71.9) π4 Orionis (72.1), ο¹ Orionis (72.4), π5 Orionis (72.8) π¹ Orionis (73.0), ο² Orionis (73.4), Hassaleh (73.6), π6 Orionis (73.9)
May 29 30 (*435) 31 June 1 (152) 2
'May 2 3 4 5 (125) 6 (*46)
"April 18 19 (*29) 20 21 (111) 22 (477)
NAKSHATRA DATES:
SEPTEMBER 25 26 27 28 29 (272)
ζ Herculis, η Tr. Austr. (252.1), η Herculis, β Apodis (252.5) Atria (253.9) Tail-6 ι Ophiuchi (255.3), Grafias (255.4) κ Ophiuchi (256.2), ζ Arae (256.5), ε Arae (256.8), Cujam (256.9)
Wei, η Arae (254.3), DENEBAKRAB (254.7)
November 28 29 (333) 30 December 1 2 (336)
'November 1 2 3 (*227) 4 (308) 5
"October 18 19 20 21 (*214) 22 (295)
TAGAROA URI 9 10 (*178 = *253 - *75) 11 12 (260) 261 = 272 - 11
TAGAROA URI 14 15 (*178) 16 17 (260) 18
Gb5-22 (146) Gb5-23 Gb5-24 Gb5-25 (378)
MARCH 31 (*10) APRIL 1 2 (457) 3 (93)
Almaaz (74.7), Haedus I (74.8) Haedus II (75.9) 5h (76.1) μ Aurigae, μ Leporis (77.6)
ε Leporis (76.0), Cursa (76.4), λ Eridani (76.7)
June 3 4 (520) June 5 6 (157)
'May 7 8 (128) *414 10 (*50)
"April 23 114 = 6 * 19 25 26 (*36)
NAKSHATRA DATES:
SEPTEMBER 30 (273) OCTOBER 1 2 3
no star listed (257) 17h (258.7) Mula-19 Nodus I (260.0), π Herculis (260.7), Ras Algethi (260.8)
no star listed (258) Sabik (259.7), η SCORPII (259.9)
December 3 4 5 6 (340)
'November 6 (*230) 7 8 9 (313)
"October 23 (*216) 24 25 26 (299)
TAGAROA URI 14 15 (*183 = *258 - *75) 16 17 (265)
TAGAROA URI 19 20 (*183) 21 22 (265)

The name of the king indicated the center of the lunar month and therefore day 15 should be his correct position:

Hotu

Ta.: hotu, to produce fruit, Sa.: fotu, id. Mgv.: akahotu, the September season. Churchill.

H.: Hoku,  Night of the full moon. When this moon set before daylight it was called Hoku Palemo, Hoku that slips away. When it set after daylight it was called Hoku Ili, grounded Hoku. Ka mahina o Hoku, the full moon of the night Hoku. Cf. hōkū, star. Hō kū, star. (PPN fetu'u). Wehewehe.

Being a king of the Full Moon implies we should not look at the heliacal stars but at the stars close to the Full Moon, at the stars close to Hotu. Atria was, however, not α Trianguli right above the head of Aries where the Babylonians saw their important 'plough' constellation mulApin.

... Mul-Apin is a composite text that can be thought of as a general compendium dealing with many diverse aspects of celestial divination.The first sections of tablet 1 list all the mainstream Babylonian constellations along with the deities associated with them. Various other sections give the rising dates for the stars and provide further useful information that helps to locate the constellations in relation to each other and as such it is the single most important resource for reconstructing the overall plan of the Babylonian starmap. Even though the earliest copy so far discovered was only written shortly after 700 BCE, the text was probably composed sometime between 1200 and 1000 BCE ...

... In the Babylonian star catalogues, Triangulum, together with Gamma Andromedae, formed the constellation known as MUL.APIN ... 'The Plough'. It is notable as the first constellation presented on (and giving its name to) a pair of tablets containing canonical star lists that were compiled around 1000 BC, the MUL.APIN.

The Plough was the first constellation of the 'Way of Enlil' - that is, the northernmost quarter of the Sun's path, which corresponds to the 45 days on either side of summer solstice. Its first appearance in the pre-dawn sky (heliacal rising) in February marked the time to begin Spring ploughing in Mesopotamia.

The Ancient Greeks called Triangulum Deltoton (Δελτωτόν), as the constellation resembled an upper-case Greek letter delta (Δ). It was transliterated by Roman writers, then later Latinized as Deltotum. Eratosthenes linked it with the Nile Delta, while the Roman writer Hyginus associated it with the triangular island of Sicily, formerly known as Trinacria due to its shape. It was also called Sicilia, because the Romans believed Ceres, patron goddess of Sicily, begged Jupiter to place the island in the heavens. Greek astronomers such as Hipparchos and Ptolemy called it Trigonon (Τρίγωνον), and later, it was Romanized as Trigonum. Other names referring to its shape include Tricuspis and Triquetrum.

Alpha and Beta Trianguli were called Al Mīzān, which is Arabic for 'The Scale Beam'. In Chinese astronomy, Gamma Andromedae and neighbouring stars including Beta, Gamma and Delta Trianguli were called Teen Ta Tseang Keun (天大将军, 'Heaven's great general'), representing honour in astrology and a great general in mythology.

Later, the 17th-century German celestial cartographer Johann Bayer called the constellation Triplicitas and Orbis terrarum tripertitus, for the three regions Europe, Asia, and Africa. Triangulus Septentrionalis was a name used to distinguish it from Triangulum Australe, the Southern Triangle. Polish astronomer Johannes Hevelius excised three faint stars - 6, 10 and 12 Trianguli - to form the new constellation of Triangulum Minus in his 1690 Firmamentum Sobiescianum, renaming the original as Triangulum Majus. The smaller constellation was not recognised by the International Astronomical Union (IAU) when the constellations were established in the 1920s ...

Instead Atria was α in the Southern Triangle, in front of the Centaur and next to the upside down fire altar (Ara) below the tail of the Scorpion:

The name mulApin for the northern triangle reminded me about Apina Iti (possibly to be understood as Apin a Iti) and Apina Nui (or Apin a Nui):

... The Polynesian language does not allow a word to end with a consonant and Babylonian Apin would therefore become Apina. However, I dismissed the possibility of a connection because of the great time gap. But now I have come to realize that my idea probably was correct. I looked up what stars constituted mulApin and in rongorongo times these stars rose heliacally beginning in April 16 with Metallah (α) and ending in April 19 with γ Andromedae (Alamak, the last star in the constellation and at her left foot):

April 14 15 16 (106)
*Ca14-27 *Ca14-28 *Ca14-29 (392)
te henua te honu te rima
no star listed (24) no star listed (25) POLARIS, Baten Kaitos (26.6), METALLAH (26.9)
April 17 (107) 18 19
Cb1-1 (393) Cb1-2 Cb1-3
E tupu - ki roto o te hau tea
Al Sharatain-1 / Ashvini-1 / Bond-16 ι Arietis (28.0), λ Arietis (28.2) Alrisha, χ Phoenicis (29.2), Alamak (29.7)
Segin, Mesarthim, ψ Phoenicis (27.2), SHERATAN, φ Phoenicis (27.4)

... On the 'second list of place names' Apina Nui (number 60) and Rano Raraku (number 30) are exact opposites. The two localities crucial to the stone figures divide the whole cycle and correspond to a reversal of the lunar phase, such as 'last quarter' vs. 'first quarter'. One could almost call the west-east line from Apina Nui to Rano Raraku a 'moai axis', similar in importance to the north-south line from Anakena to Vinapu (ahu axis?) ...

I think the creators of Manuscript E considered the position of α Trianguli Australis (Atria) close to the Full Moon (Hotu) was a perfect fit for where (when) the king should arrive to Easter Island. October 15 (288) was 182 days after April 16.

'April 16 was probably at the reversed hau tea in glyph 354 (where Acrux culminated at midnight). And Tagaroa Uri 1 should have been at the nakshatra side of May 16 (136) where the Babylonians had their Foundation Stone (Temennu):

Januarius 24 25 26 27 28 (393) 29
Gb4-32 Gb4-33 Gb5-1 (354) Gb5-2 Gb5-3 Gb5-4 (128)
MARCH 8 9 10 11 (*355) 12 (436) 13 (72)
no star listed (51) no star listed (52) no star listed (53)

Acrux

no star listed (54) Al Thurayya-27 / Krittikā-3 / Hairy Head-18 / Temennu-4
Atiks, Rana (55.1), CELAENO, ELECTRA, TAYGETA (55.3), MAIA, ASTEROPE, MEROPE (55.6) ALCYONE (56.1), PLEIONE, ATLAS (56.3)
TAU-ONO
May 11 12 (*417) 13 14 15 (500) 16 (136)
4-14 'April 15 16 (471) 17 (107) 18 19 (*29)
"March 31 (90) "April 1 2 (457) 3 4 5 (*15)
NAKSHATRA DATES:
SEPTEMBER 7 8 9 (*172) 10 11 (254) 12
Nusakan (234.0), κ¹ Apodis (234.3), ν Bootis (234.7) θ Cor. Borealis (235.3), γ Lupi (235.6), Gemma, Zuben Elakrab, Qin, ε Tr. Austr. (235.7), μ Cor. Borealis (235.8)

Sirrah

φ Bootis (236.2), ω Lupi (236.3), ψ¹ Lupi (236.7), ζ Cor. Borealis (236.9)  ι Serpentis (237.4), ψ² Lupi (237.5), γ Cor. Borealis (237.7), Unuk Elhaia (237.9) π Cor. Borealis, Cor Serpentis (238.1), Chow (238.6) κ Serpentis (239.3), δ Cor. Borealis, Tiānrǔ (239.5), χ Lupi, (239.6), ω Serpentis (239.7), Ba, χ Herculis (239.8). κ Cor. Borealis, ρ Serpentis (239.9)
Nov 10 (314) 11 12 13 14 15
10-14 'October 15 16 17 (290) 18 19 (*212)
"Sept 30 (*193) "October 1 2 (275) 3 4 5
HORA NUI 21 22 (240)  *161 = *236 - *75 24 25 255 - 11 = 244
HORA NUI 25 26 (240) 27 (*161) 28 29 TAGAROA URI 1
9
Januarius 30 31 Februarius 1 (32)
Gb5-5 Gb5-6 (130) Gb5-7 (360)
3-14 MARCH 15 16 (75)
Menkhib (57.6)

Porrima

Zaurak (58.9) λ Tauri (59.3), ν Tauri (59.9)
May 17 18 19 (139)
'April 20 21 (111) 22 (*32)
"April 6 (*16) 7 8 (463)
NAKSHATRA DATES:
SEPTEMBER 13 (256) 14 (*177) 15
β Tr. Austr. (240.3), κ Tr. Austr. (240.4), ρ Scorpii (240.8) Iklīl al Jabhah-15 / Anuradha-17 / Room-4 υ Herculis (242.3), ρ Cor. Borealis (242.4), ι Cor. Borealis (242.5), ξ Scorpii (242.7)

Schedir

(241.1), Zheng (241.2), VRISCHIKA (241.3), ε Cor. Borealis (241.5),  Dschubba (241.7), η Lupi (241.9)
November16 17 18 (322)
'October 20 21 (*214) 22 (295)
"October 6 7 (280) 8
HORA NUI 27 28 (*166) 29 (247)
TAGAROA URI 2 3 (*166) 4 (247)
Februarius 11 12 (408) 13 14 15 (46)
Gb5-17 (370) Gb5-18 Gb5-19 Gb5-20 (144) Gb5-21
MARCH 26 (85) 27 28 (*7) 29 30 (454)
no star listed (69) no star listed (70) Tabit (71.7), π² Orionis (71.9) π4 Orionis (72.1), ο¹ Orionis (72.4), π5 Orionis (72.8) π¹ Orionis (73.0), ο² Orionis (73.4), Hassaleh (73.6), π6 Orionis (73.9)
May 29 (149) 30 (*435) 31 June 1 2
'May 2 3 4 5 (125) 6 (*46)
"April 18 19 (*29) 20 21 (111) 22 (477)
NAKSHATRA DATES:
SEPTEMBER 25 (268) 26 27 28 29 (272)
ζ Herculis, η Tr. Austr. (252.1), η Herculis, β Apodis (252.5) Atria (253.9) Tail-6 ι Ophiuchi (255.3), Grafias (255.4) κ Ophiuchi (256.2), ζ Arae (256.5), ε Arae (256.8), Cujam (256.9)
Wei, η Arae (254.3), DENEBAKRAB (254.7)
November 28 29 (333) 30 December 1 2 (336)
'November 1 (305) 2 3 (*227) 4 5
"October 18 (291) 19 20 21 (*214) 22 (295)
TAGAROA URI 9 (257) 10 (*178 = *253 - *75) 11 12 (260) 261 = 272 - 11
TAGAROA URI 14 15 (*178) 16 17 (260) 18

Gb5-24 illustrates a gap in time and this was where in the nakshatra sky was December 2 (with 336 = 12 * 28 = 14 * 24).

At hakaariki (Gb5-24) the extrapolated date counted backwards from Rogo in Gb6-26 should be 49 + 365 = 414 = 14 * 29½ + 1:

Februarius 16 17 18 (414) 19 (50)
Gb5-22 (146) Gb5-23 Gb5-24 Gb5-25 (378)
MARCH 31 (*10) APRIL 1 2 (457) 3 (93)
Almaaz (74.7), Haedus I (74.8) Haedus II (75.9) 5h (76.1) μ Aurigae, μ Leporis (77.6)
ε Leporis (76.0), Cursa (76.4), λ Eridani (76.7)
June 3 4 (520) June 5 6 (157)
'May 7 8 (128) *414 10 (*50)
"April 23 114 = 6 * 19 25 26 (*36)
NAKSHATRA DATES:
SEPTEMBER 30 (273) OCTOBER 1 2 3
no star listed (257) 17h (258.7) Mula-19 Nodus I (260.0), π Herculis (260.7), Ras Algethi (260.8)
no star listed (258) Sabik (259.7), η SCORPII (259.9)
December 3 4 5 6 (340)
'November 6 (*230) 7 8 9 (313)
"October 23 (*216) 24 25 26 (299)
TAGAROA URI 14 15 (*183 = *258 - *75) 16 17 (265)
TAGAROA URI 19 20 (*183) 21 22 (265)
Februarius 20 21 22 (53)
Gb5-26 (150) Gb5-27 Gb5-28 (381)
APRIL 4 (*14) 5 (460) 6
 ĸ Leporis (78.0), Rigel (78.1), Flaming Star (78.2), Capella (78.4), ο Columbae, τ Orionis (78.8)

Thuban

λ Aurigae (79.0), λ Leporis (79.6), ρ Aurigae (79.7)

Arcturus

Shur-narkabti-sha-iltanu-6
σ Aurigae (80.4), Bellatrix, Saif al Jabbar (80.7), Elnath (80.9)
June 7 8 (*444) 9 (525)
May 11 12 (*52) 13 (133)
"April 27 28 (118) 29 (*39)
NAKSHATRA DATES:
OCTOBER 4 (277) 5 6 (*199)
 Sarin (261.0), ο Ophiuchi (261.4)

Alrisha

ξ Ophiuchi (262.2), θ Ophiuchi, ν Serpentis, ζ, ι Apodis (262.4), ι Arae (262.8), ρ Herculis (262.9) β, γ Arae (263.3), κ Arae (263.5), σ Ophiuchi (263.6)
December 7 8 (342) 9
314 'November 11 *236
"October 27 (300) 28 29
TAGAROA URI 18 (*186) 19 20 (268)
TAGAROA URI 23 (*186) 24 25 (268)

In Tagaroa Uri 25 the explorers left Easter Island for their return voyage home to Hiva.

TERMINALIA Februarius 24 (420) 25 26 27 (58)
Gb5-29 (153) Gb6-1 Gb6-2 (384) Gb6-3 Gb6-4
APRIL 7 (*17) 8 9 (99) 10 (465) 11
ψ Orionis (81.1), Nihal (81.7) Mintaka, υ Orionis (82.4), χ Aurigae (82.5), ε Columbae (82.6) Al Hak'ah-3 / Mrigashīrsha-5 / Turtle-20 / Kakkab Sar Three Stars-21 / ANA-IVA (9) / Shur-narkabti-sha-shūtū-7 ο Aurigae (85.8), γ Leporis (85.9)

Yang Mun

Arneb, Crab Nebula (83.0, φ¹ Orionis (83.1), HEKA, Orion Nebula (83.2), φ² Orionis (83.6), Alnilam (83.7) Heavenly Gate, ν Columbae (84.0), ω Orionis (84.2),  ALNITAK, PHAKT (Phaet) (84.7)
June 10 (*446) 11 12 13 (164) 14 (530)
'May 14 (*54) 15 (135) 16 17 18 (503)
"April 30 (*40) "May 1 2 3 (123) 4 (489)
NAKSHATRA DATES:
OCTOBER 7 (*200) 8 9 (282) 10 (648) 11
Lesath, δ Arae (264.7), Choo (264.9) Al Shaula Ras Alhague (266.1), Sargas (266.3), μ Ophiuchi, π Arae (266.5), Nan Hae (266.6),  ι Herculis (266.7) λ Arae (267.1), Girtab, ο Serpentis (267.6) Kelb Alrai, μ Arae (268.1), Kew Ho (268.6), η Pavonis (268.7), Apollyon (268.9)
 Alwaid, Maasym (265.1), Shaula (265.3), Kuma (265.6), σ Arae (265.9)

Hamal

December 10 11 12 Lucia 14 (348 = 364 - 16)
'November 13 (*237) 14 15 16 (320) 17
"October 30 31 (304) "November 1 2 3 (*227)
TAGAROA URI 21 22 23 24 (*192) 25 (273)
TAGAROA URI 26 27 28 29 (*192) 30 (273)

In Tagaroa Uri 30 king Hotu asked where the stone figure Oto Uta was.

 
Februarius 28 Martius 1 2 (61) 3 4 (428) 5 (64)
Gb6-5 Gb6-6 Gb6-7 (160) Gb6-8 Gb6-9 Gb6-10 (392)
APRIL 12 4-13 (468) 14 (104) 15 (*25) 16 (471) 17 (107)
 μ Columbae, Saiph (86.5), τ Aurigae, ζ Leporis (86.6) υ Aurigae (87.1), ν Aurigae (87.2), Wezn, δ Leporis (87.7), Tze (87.9) Ardra-6 / ANA-VARU (8) η Leporis (89.0), Praja-pāti, Menkalinan, Mahashim, and γ Columbae (89.3), π Aurigae (89.4), η Columbae (89.7) μ Orionis (90.3), χ² Orionis (90.5) 6h (91.3)
χ¹ Orionis, ξ Aurigae (88.1), BETELGEUZE (88.3), ξ Columbae (88.5), σ Columbae (88.7)

 Zuben Elgenubi

ν Orionis (91.4), θ Columbae (91.5), π Columbae (91.6)
June 15 16 17 (168) 18 19 20 (171)
'May 19 (*59) 20 (140) 21 22 23 (*63) 24 (144)
"May 5 (*45) 6 (126) 7 (492) 8 9 (*49) 10 (130)
NAKSHATRA DATES:
OCTOBER 12 (285) 13 14   15 (*208) 16 17 (290)
Muliphen (269.0), Basanismus (269.5), Pherkard (269.9) Ptolemy Cluster (270.5) Rukbalgethi Genubi (271.1), ξ Herculis (271.5), Etamin, ν Herculis (271.7), ν Ophiuchi (271.8) ζ Serpentis (272.4), τ Ophiuchi (272.9) Winnowing Basket-7 Zhōngshān (274.0), π Pavonis (274.6)
18h (273.4)
NASH (273.7), θ Arae (273.8)
December 15 16 (350) 17 18 19 20 (354)
'November 18 19 (*243) 20 (324) 21 22 (*246) 23 (327)
"November 4 5 (*229) 6 (310) 7 8 (*232) 9 (313)
TAGAROA URI 26 27 28 29 (277) *198 = *273 - *75 31
TAG URI 31 KO RUTI 1 (275) 2 3 4 5 (*199)

The canoe with Pure O, Pure Ki, and Pure Vanangananga, sailed away to the stone figure Oto Uta in Ko Ruti 5.

Martius 6 7 8 (432) 9 10 11 (70)
Gb6-11 (393) Gb6-12 (165) Gb6-13 Gb6-14 Gb6-15 Gb6-16
APRIL 18 19 (*29) 20 21 (111) 22 23 (478)
ξ Orionis (92.5) Al Han'ah-4 / Maru-sha-pu-u-mash-mashu-8  Furud (94.9) Well-22 no star listed (96) β Monocerotis, ν Gemini (97.0)
 TEJAT PRIOR (93.4), γ Monocerotis (93.5), κ Aurigae (93.6), κ Columbae (93.8) δ Columbae (95.2), TEJAT POSTERIOR, Mirzam (95.4), CANOPUS (95.6), ε Monocerotis (95.7), ψ1 Aurigae (95.9)
Solstice June 22 (173) 23 St John's Eve 25 26
5-25 'May 26 27 28 (*68) 29 30 (150)
"May 11 12 13 14 (*54) 15 16 (136)
NAKSHATRA DATES:
OCTOBER 18 19 20 21 22 (295) 23 (*216)
ι Pavonis (275.1), Polis (275.9)

Menkar

η Sagittarii (276.9) Purva Ashadha-20 Kaus Borealis (279.3) ν Pavonis (280.4), κ Cor. Austr. (280.9)
KAUS MEDIUS, κ Lyrae (277.5), Tung Hae (277.7) KAUS AUSTRALIS (278.3), ξ Pavonis (278.4), Al Athfar (278.6)
Solstice December 22 23 Christmas Eve 25 26 (360)
'November 24 25 (329) 26 (*250) 27 28 29
π "November 11 12 (*236) 13 14 15
KO RUTI 1 (*200) 2 3 4 5 6 (285)
KO RUTI 6 7 8 9 *204 = *279 - *75 11 (285)