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Precession had forced a kind of 'double book-keeping', with 4 days' difference between the dates in the Gregorian calendar and the dates of the stars.

® Papa O Pea   -
Ga4-9 Ga4-10 (93)
Tania Australis (156.0), Ghost of Jupiter (156.8) Extended Net-26b
μ HYDRAE (157.1)
Hora Iti 24 (236) Hora Iti 25 (*157)
ºAugust 20 (232) ºAugust 21 (*153)
'July 28 (*129) 'July 29 (210)
"July 14 (195) "July 15 (*116)
β/172 Lac. (339.2), 4/1100 Lac. (339.4), π Aquarii (339.5)

Castor

δ Tucanae (340.1), ρ Cephei (340.2), ζ Aquarii (340.4), 5/1100 Lac. (340.7), σ Aquarii, 6/650 Lac. (340.9)

Procyon

February 23 (54 = 2 * 27) February 24 (420)
ºFebruary 19 (50) ºFebruary 20 (416)
'January 27 'January 28 (393)
"January 13 (378 = 14 * 27) "January 14
Ahu Akapu A Hau Maka
Ga4-11 Ga4-12
Shir (158.9) p Carinae (159.3)
Hora Iti 26 (238) 27 (*159)
ºAugust 22 (234) 23 (*155)
'July 30 (*131) 31
"July 16 17
α/91 Lac. (341.1), Homan, β Piscis Austrini (341.2), ν Tucanae (341.5), υ Aquarii (341.9) η Aquarii (342.1), Situla (342.7)
February 25 (*341) 26
ºFebruary 21 (*337) 22
'January 29 (*314) 30
"January 15 (*300) 16
Ahu

1. Funerary monument with niches holding the skeletons of the dead. 2. Generic term for a grave, a tomb merely enclosed with stones. 3. Stone platform, with or without graves. 4. Elevated seat, throne. 5. Swollen; to swell up: ku-ahu-á tooku va'e, my foot is swollen; ananake te raá e-tagi-era te ûka riva mo toona matu'a ka-ahu ahu-ró te mata, every day the daughter cried for her parents until her eyes were quite swollen. Vanaga.

1. To transfer, to transplant, to take up by the roots. 2. To puff up, to swell, a swelling, protuberance; gutu ahu, swollen lips; ahuahu, to swell, plump, elephantiasis, dropsy; ahuahu pupuhi, amplitude; manava ahuahu, indigestion. 3. Paralysis. 4. A carved god of dancing, brought forth only on rare occasions and held of great potency. Ahuahu, inflammation. Ahukarukaru (ahu 2 - karukaru), dropsy. Churchill.

Te Pito O Te Kainga A Hau Maka Pu Pakakina A Ira  ®
Ga4-13 Ga4-14 Ga4-15 (98)
φ Hydrae (160.3) no star listed (161) Vathorz Posterior (162.1), Peregrini, η Carinae (162.6)
Hora Iti 28 29 30 (242)
ºAugust 24 (236) 25 (237) 26
'August 1 2 (214) 3 (*135)
"July 18 19 (200) 20
ε Piscis Austrini (343.5), ο Pegasi (343.8) Matar (344.2) Leap night
February 27 (58 = 2 * 29) 28 (*344) 29 (60)
ºFebruary 23 (54) 24 (*340) 25 (421)
'January 31 (396) 'February 1 2 (33)
"January 17 18 (383) 19 (384)

Revolving around the dates of the Gregorian calendar from 1582 A.D., as defined from the stars close to the Full Moon, the corresponding heliacal dates had to be divided into a pair. To make the difference clear it was necessary to change the names of the Gregorian (heliacal) months, for instance from August to Hora Iti and from September to Hora Nui:

¬  Pu Pakakina A Ira  ®
Ga4-16 Ga4-17 (100) Ga4-18 Ga4-19
ν Hydrae (163.1) no star listed (164)

Altair

Wings-27 ANA-TIPU
ALKES (165.6) Merak (166.2), DUBHE (166.7)
Hora Iti 31 (243) Hora Nui 1 (*164) 2 3
ºAugust 27 28 (240) 29 (*161) 30
'August 4 (216) 5 (*137) 6 7
"July 21 (*122) 22 (22 / 7) 23 (204) 24
λ Pegasi (345.0), ξ Pegasi (345.1), τ Aquarii (345.7), μ Pegasi (345.9) ι Cephei (346.0), λ Aquarii, γ Piscis Austrini, σ Pegasi (346.5) Scheat Aquarii (347.0), ρ Pegasi (347.2), δ Piscis Austrini (347.4), Fomalhaut (347.8) Fum al Samakah (348.3)
March 1 (426 - 366 = 60) 2 (427 - 81 = *346) 3 4 (63)
ºFebr 27 (*341) 28 29 (424) ºMarch 1 (60)
'February 3 (399) 4 (*320 = *346 - 26) 5 (36) 6
"January 20 21 (*306) 22 23 (388)

Heliacal RA 164 (Ga4-17) + 80 = 244 (Hora Nui1). In the times of Al Sharatain the star Altair would have culminated at midnight 27 days earlier, in 'August 5 (217) = RA dat 217 - 80 = 137.

RA 346 - RA 164 = 182 - not 366 / 2 = 183, because I have at February 29 leaped the stars of the night. Therefore RA 346 corresponds to day 346 + 81 = 427 = 427 - 366 = 61 (March 2).

In the times of Al Sharatain the day could then have been RA 346 - 27 = RA 319 = 'February 4 (399). However, 'February 29 came later and a better estimate should therefore be RA 347 - 27 = RA 320 = day 320 + 80 = 400 = 35 + 365.

¬  Pu Pakakina A Ira  ®
Ga4-20 Ga4-21 (104)
11h (167.4)  Al Sharas (168.6)
χ¹ Hydrae (167.1), χ² Hydrae (167.3)
Hora Nui 4 (*167) 5 (248)
ºAugust 31 (*163) ºSeptember 1 (244)
'August 8 (220) 9 (*141)
"July 25 (206) 26 (*127)
Al Fargh al Mukdim-24 / Purva Bhādrapadā-26 / House-13 23h (350.0)
Scheat Pegasi, π Piscis Austrini (349.3), MARKAB PEGASI (349.5) π Cephei (350.6)
March 5 (64 = 31 + 28 + 5) 6 (*350)
ºMarch 2 (61 = 64 - 3) 3 (*346)
'February 7 (403) 8 (*324 = *346 - 22)
"January 24 (*309) 25 (390)
¬  Pu Pakakina A Ira  ®
Ga4-22 Ga4-23 Ga4-24 Ga4-25 (108)
Al Zubrah-9 / Purva Phalguni-11 Alula (170.5), Labrum (170.6) λ Crateris (171.6), ε Crateris (171.9) γ Crateris, π Centauri (172.0), κ Crateris (172.5)

Gredi

Zosma (169.2), COXA (169.4)
Hora Nui 6 (249) 7 8 9 (*172)
ºSept 2 (245) 3 4 5 (*168)
'August 10 11 12 (*144) 13 (225)
"July 27 (*128) 28 29 (210) 30
Simmah (351.7) φ Aquarii (352.0), ψ Aquarii (352.4), χ Aquarii (352.6), γ Tucanae (352.8) ο Cephei (353.3), Kerb (353.6) κ Piscium (354.2), θ Piscium (354.4), υ Pegasi (354.9)
March 7 8 9 (68) 10 (*354)
ºMarch 4 5 (*348) 6 7 (66)
'February 9 (40) 10 (*326) 11 12 (408)
"January 26 27 (392) 28 29 (*314 = *354 - 40)
¬  Pu Pakakina A Ira  ®
Ga4-26 Ga4-27 (110)
ο¹ Centauri (173.8) ξ Hydrae (174.3), ο² Centauri, λ Centauri (174.8)
Hora Nui 10 (*173) 11 (254)
ºSeptember 6 (*169) 7 (250)
'August 14 (*146) 15 (227 = 254 - 27)
"July 31 (212) "August 1 (*133)
no star listed (355) no star listed (356)
March 11 (*355 = 435 - 80) 12 (71 = 436 - 365)
ºMarch 8 (67 = 31 + 28 + 8) 9 (*352)
'February 13 (409) 14 (45)
"January 30 (*315) 31 (396)

They went to Pu Pakakina in Hora Iti 29. No longer was the name refering to Hau Maka, his year had been buried at Ahu Akapu.

... On the twenty-ninth day of the month of August ('Hora Iti') they went to Pu Pakakina. They arrived, remained there, and gave the name 'Pu Pakaina A Ira'. They remained one month in Pu Papakina ...

Possibly 'one month in Pu Pakakina' - instead of more precise information - was due to the necessity to sometimes insert an extra 'month' in the calendar, between the end of one calendar year and the next, a kind of Mensis Intercalaris:

... The ordinary year in the previous Roman calendar consisted of 12 months, for a total of 355 days. In addition, a 27-day intercalary month, the Mensis Intercalaris, was sometimes inserted between February and March. This intercalary month was formed by inserting 22 days after the first 23 or 24 days of February; the last five days of February, which counted down toward the start of March, became the last five days of Intercalaris. The net effect was to add 22 or 23 days to the year, forming an intercalary year of 377 or 378 days.

54 (February 23) at the end of Papa O Pea (Ga4-9, where 4 * 9 = 36) could imply the first part of such a Mensis Intercalaris would end with glyph number 92 + 22 = 114 (= 6 * 19).

Ahu 'a Kapu was on the west coast and so was Hanga Piko:

Piko

1. To twist (vi); twisted, bent; haga piko, bend formed by part of the coast. 2. To hide (vi); hidden; kahi piko, tuna fish meant as a gift for someone, and which is kept hidden away from others. 3. Slip knot (used with fishing lines). Vanaga.

1. Post; moa tara piko, cock with long spurs. 2. Crooked, tortuous; piko mai piko atu, sinuosity; hakapiko, pliant, to bend; pikopiko, crooked; hoe pikopiko, pruning knife; veo pikopiko, arrow that flies ill. 3. To hide oneself, to lie in wait, to set a trap, to take refuge, to withdraw, to beat a retreat, security, ambush, padlock; piko reoreo, false security; piko etahi, to withdraw one after another; pikoga, asylum, receptacle, refuge, retreat, snare. Churchill.

H. Piko Umbilical cord. Hawaiians are connected to ancestors (aūmakua), as well as to living kinsmen and descendants, by several cords emanating from various parts of the body but alike called piko, 'umbilical cord'. Islands of History.

H. Piko 1. Navel, navel string, umbilical cord. Fig. blood relative, genitals. Cfr piko pau 'iole, wai'olu. Mō ka piko, moku ka piko, wehe i ka piko, the navel cord is cut (friendship between related persons is broken; a relative is cast out of a family). Pehea kō piko? How is your navel? (A facetious greeting avoided by some because of the double meaning.) 2. Summit or top of a hill or mountain; crest; crown of the head; crown of the hat made on a frame (pāpale pahu); tip of the ear; end of a rope; border of a land; center, as of a fishpond wall or kōnane board; place where a stem is attached to the leaf, as of taro. 3. Short for alopiko. I ka piko nō 'oe, lihaliha (song), at the belly portion itself, so very choice and fat. 4. A common taro with many varieties, all with the leaf blade indented at the base up to the piko, junction of blade and stem. 5. Design in plaiting the hat called pāpale 'ie. 6. Bottom round of a carrying net, kōkō. 7. Small wauke rootlets from an old plant. 8. Thatch above a door. 'Oki i ka piko, to cut this thatch; fig. to dedicate a house. Wehewehe.

Pito

1. Umbilical cord; navel; centre of something: te pito o te henua, centre of the world. Ana poreko te poki, ina ekó rivariva mo uru ki roto ki te hare o here'u i te poki; e-nanagi te pito o te poki, ai ka-rivariva mo uru ki roto ki te hare, when a child is born one must not enter the house immediately, for fear of injuring the child (that is, by breaking the taboo on a house where birth takes place); only after the umbilical cord has been severed can one enter the house. 2. Also something used for doing one's buttons up (buttonhole?). Vanaga.

Navel. Churchill.

Considering the Hawaiian Piko = Easter Island Pito it seems reasonable to guess Hanga Piko means Hanga Pito. And then we can read Ahu Akapu A Hau Maka as a 'riddle' meaning Ahu 'a Tapu A Hau Maka.

Tapu

Holy, sacred, forbidden, taboo, off-limits; to declare holy, forbidden, taboo, off-limits. he-tapu te pera, to declare a burial ground taboo. Taputapu, to pace up and down. Vanaga.

To forbid, to prohibit, sacred, holy. Hakatapu, to forbid, to prohibit, to make holy, to consecrate. P Pau.: tapu, to swear; fakatapu, to give sanction to. Mgv., Mq., Ta.: tapu, sacred, holy, forbidden, prohibited. Tapua, holy. Churchill.