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A most important clue is given in the statement:

... On the first day of the month of September ('Hora Nui') they went up to the yam plantation of Kuukuu - i te raa Po rae o hora nui i iri ai ki runga ki the uhi a kuukuu (E:46).

For this yam plantation had been established in "June 10 - i te angahuru o te raa o te maro:

... They made camp and constructed a house [te hare]. Kuukuu got up, worked the ground, and heaped up the earth for the yam roots [he puke i te uhi] - he noho o(i)ra he hakatuu i te hare.he ea a kuukuu he keukeu he puke i te uhi. (E:18)

So the Explorers could have returned there after 244 (Hora Nui 1) - 161 (He Maro 10) = 83 days.

And we know (E:31) that they had gone to Pu Pakakina in Hora Iti 29 - i te rua te angahuru maiva. o te raa o hora iti i oho ai ki pu pakakina.a Ira - which therefore ought to have been 3 days before Hora Nui 1:

te hokohuki te moko vero hia tagata honui e ha mata

Ha. 1. Four. 2. To breathe. Hakaha'a, to flay, to skin. Vanaga. 1. Four. P Mgv., Mq., Ta.: ha, id. 2. To yawn, to gape. 3. To heat. 4. Hakaha, to skin, to flay; unahi hakaha, to scale fish. Mgv.: akaha, to take to pieces, to take off the bark or skin, to strip the leaves off sugarcane. 5. Mgv: ha, sacred, prohibited. Mq.: a, a sacred spot. Sa.: sa, id.  Churchill.

Cb8-4 Cb8-5 (172 + 4) Cb8-6 (177 = 6 * 29½) Cb8-7 (392 + 178 = 570) Cb8-8 (1½ * 314 + 100)
CLOSE TO THE FULL MOON:
γ Hydrae (201.0), ι Centauri (201.4)

*160.0 = *201.4 - *41.4

Al Simāk-12 (Lofty) / Chitra-14 (Bright One) / Horn-1 (Crocodile) / Sa-Sha-Shirū-20 (Virgin's Girdle) / ANA-ROTO-3 (Middle pillar)

MIZAR = ζ Ursae Majoris (202.4), SPICA = α Virginis, ALCOR = 80 Ursae Majoris (202.7)

SADALMELIK (α Aquarii)

*161.0 = *202.4 - *41.4
71 VIRGINIS (203.6) no star listed (204) HEZE = ζ Virginis (205.0), Southern Pinwheel Galaxy = M83 Hydrae (205.7)

... Proclus informs us that the fox star nibbles continuously at the thong of the yoke which holds together heaven and earth; German folklore adds that when the fox succeeds, the world will come to its end. This fox star is no other than Alcor, the small star g near zeta Ursae Majoris (in India Arundati, the common wife of the Seven Rishis, alpha-eta Ursae ...

Oct 8 (240 + 41) 9 10 11 (364 - 80) 12 (285)
'Sept 11 (354 - 100) 12 13 (256 = 4 * 64) 14 15
"Aug 28 (240) HORA ITI 29 30 (242 = 2 * 11 * 11) 31 HORA NUI 1
AHU AKAPU PU PAKAKINA A IRA

Paka. 1. Dry; to become dry (of things); pakapaka, to dry out. Te paka is also the name of the moss-covered areas, between the small lakes of volcano Rano Kau, through which one can pass without getting one's feet wet. 2. To go, to depart; he-paka-mai, to come; he-oho, he-paka, they go away. 3. To become calm (of the sea): ku-paka-á te tai. Pakahera, skull, shell, cranium; pakahera puoko tagata, human skull; pakahera pikea, shell of crab or crayfish. Gutu pakapaka, scabbed lips. Hau paka, fibres of the hauhau tree, which were first soaked in water, then dried to produce a strong thread. Moa gao verapaka, chicken with bald neck. Ariki Paka, certain collateral descendents of Hotu Matu'a, who exercised religious functions. Vanaga. 1. Crust, scab, scurf; paka rerere, cancer; pakapaka, crust, scabby. 2. Calm, still. 3. Intensive; vera paka, scorching hot; marego paka, bald; nunu paka, thin. 4. To arrive, to come. 5. To be eager. 6. To absorb. 7. Shin T. Pakahera, calabash, shell, jug. Pakahia, to clot, curdle, coagulate. Pakapaka, dry, arid, scorching hot, cooked too much, a desert, to fade away, to roast, a cake, active; toto pakapaka, coagulated blood; hakapakapaka, to dry, to broil, to toast. Pakahera pikea, shell of crab or crayfish. Churchill.

Kinana, s. Haw., a hen that has hatched chickens. Sam., tina, a mother. Tong., tina-manu, a sow that had litter. Tah., ti'a, the lower part of the stomach, below the navel. Fiji., tina, mother; tina-tina, mother of inferior animals. N. Zeal., tinana, the buttocks, trunk, body. This word, with somewhat varying but not far separate meanings, I am inclined to consider as related to the Goth., kwens, kwino, a woman; kwina-kunds and kwineins, female; and possibly kwithus, the womb, the stomach, if that is syncope of an original kwinthus. Greek, γυνη, woman ...

CLOSE TO THE SUN:
April 8

no star listed (18)

9

ADHIL (Garment's Train) = ξ Andromedae (19.3), θ Ceti (19.7)

10 (100)

KSORA (Knee) = δ Cassiopeiae (20.1), ω Andromedae (20.6), γ Phoenicis (20.8)

11 (364 - 263)

δ Phoenicis (21.5)

12

υ Andromedae (22.9)

'March 12 13 14 (73) 15 16
"Febr 26 27 28 (59) 29 "March 1

As we can see in the G text Hora Iti 29 corresponded to the place where the Sun reached Spica and Hora Nui 1 the place where the Sun reached Heze - i.e. when these places were at the Full Moon they would have indicated the corresponding season on Easter Island (viz. early October).

CLOSE TO THE SUN:
JULY 31 AUG 1 2 (214) (*135 = 500 - 365) 4 (*136) 5 6
Ga5-22 Ga5-23 Ga5-24 Ga5-25 (135) Ga5-26 Ga5-27 (→ 364) Ga5-28
δ Muscae (196.5), VINDEMIATRIX (Grape Gatherer) = ε Virginis (196.8)

13h (197.8)

ξ¹ Centauri (197.1), ξ² Centauri (197.9)
APAMI-ATSA (Child of Waters) = θ Virginis, ψ Hydrae (198.5), DIADEM = α Com. Ber. (198.9) AL DAFĪRAH (Tuft) = β Com. Ber. (199.4)

*158.0 = *199.4 - *41.4

σ Virginis (200.4)

*159.0 = *200.4 - *41.4

γ Hydrae (201.0), ι Centauri (201.4)

*160.0 = *201.4 - *41.4

Al Simāk-12 (Lofty) / Chitra-14 (Bright One) / Horn-1 (Crocodile) / Sa-Sha-Shirū-20 (Virgin's Girdle) / ANA-ROTO-3 (Middle pillar)

MIZAR = ζ Ursae Majoris (202.4), SPICA = α Virginis, ALCOR = 80 Ursae Majoris (202.7)

SADALMELIK (α Aquarii)

*161.0 = *202.4 - *41.4
Oct 3 4 (277) 5 6 7 (*200) 8 9 (282)
°Sept 29 30 °Oct 1 2 (275) 3 (*196) 4 5
'Sept 6 7 (250) 8 9 10 11 12 (*175)
"Aug 23 24 (236 = 8 * 29½) 25 26 27 28 Hora Iti 29
CLOSE TO THE SUN:
AUG 7 (219) 8 (*140)
Ga5-29 Ga5-30 (140)
71 VIRGINIS (203.6) no star listed (204)

 

... Mons Maenalus, at the feet of Boötes, was formed by Hevelius, and published in his Firmamentum Sobiescianum; this title coinciding with those of neighboring stellar groups bearing Arcadian names. It is sometimes, although incorrectly, given as Mons Menelaus, - perhaps, as Smyth suggested, after the Alexandrian astronomer referred to by Ptolemy and Plutarch. The Germans know it as the Berg Menalus; and the Italians as Menalo. Landseer has a striking representation of the Husbandsman, as he styles Boötes, with sickle and staff, standing on this constellation figure. A possible explanation of its origin may be found in what Hewitt writes in his Essays on the Ruling Races of Prehistoric Times:

The Sun-god thence climbed up the mother-mountain of the Kushika race as the constellation Hercules, who is depicted in the old traditional pictorial astronomy as climbing painfully up the hill to reach the constellation of the Tortoise, now called Lyra, and thus attain the polar star Vega, which was the polar star from 10000 to 8000 B.C.

May not this modern companion constellation, Mons Maenalus, be from a recollection of this early Hindu conception of our Hercules transferred to the adjacent Bootes?

CLOSE TO THE SUN:
AUG 9 10 (222) 11 12 13 (*145)
Ga6-1 Ga6-2 Ga6-3 Ga6-4 (144 = 12 * 12) Ga6-5 (290 / 2)
HEZE = ζ Virginis (205.0), Southern Pinwheel Galaxy = M83 Hydrae (205.7) ε Centauri (206.3), κ Oct. (206.4)

*165.0 = *206.4 - *41.4

no star listed (207) τ Bootis (208.2), BENETNASH (Leader of the Daughters of the Bier) = η Ursae Majoris (208.5), ν Centauri (208.7), μ Centauri, υ Bootis (208.8) no star listed (209)
Oct 12 (285) 13 14 15 (*208) 16
°Oct 8 9 10 11 (*204) 12 (285)
'Sept 15 16 17 (260) 18 19 (*182)
Hora Nui 1 "Sept 2 3 4 5 (*168)
CLOSE TO THE FULL MOON:
FEBR 8 (*324) 9 (40) 10 11 12 (365 + 43 = 408)

... On February 9 the Chorti Ah K'in, 'diviners', begin the agricultural year. Both the 260-day cycle and the solar year are used in setting dates for religious and agricultural ceremonies, especially when those rituals fall at the same time in both calendars. The ceremony begins when the diviners go to a sacred spring where they choose five stones with the proper shape and color. These stones will mark the five positions of the sacred cosmogram created by the ritual. When the stones are brought back to the ceremonial house, two diviners start the ritual by placing the stones on a table in a careful pattern that reproduces the schematic of the universe. At the same time, helpers under the table replace last year's diagram with the new one. They believe that by placing the cosmic diagram under the base of God at the center of the world they demonstrate that God dominates the universe. The priests place the stones in a very particular order. First the stone that corresponds to the sun in the eastern, sunrise position of summer solstice is set down; then the stone corresponding to the western, sunset position of the same solstice. This is followed by stones representing the western, sunset position of the winter solstice, then its eastern, sunrise position. Together these four stones form a square. They sit at the four corners of the square just as we saw in the Creation story from the Classic period and in the Popol Vuh. Finally, the center stone is placed to form the ancient five-point sign modern researchers called the quincunx ...

ACHERNAR (End of the River) = α Eridani (23.3), χ Andromedae (23.6), τ Andromedae (23.9) ALSEIPH (Scimitar) = φ Persei (24.5), τ Ceti (24.7) no star listed (25)

ANA-NIA-10 (Pillar-to-fish by)

 χ Ceti (26.1), POLARIS = α Ursae Minoris, BATEN KAITOS (Belly of the Fish) = ζ Ceti (26.6), METALLAH = α Trianguli (26.9)

Al Sharatain-1 / Ashvini-1 (Horse's Head) / Bond-16 (Dog) / Mahrū-sha-rishu-ku-1 (Front of the Head of Ku)

SEGIN = ε Cassiopeia, MESARTHIM = γ Arietis, ψ Phoenicis (27.2), SHERATAN (Pair of Signs) = β Arietis, φ Phoenicis (27.4)

*351.0 = *27.4 - *41.4
April 13 14 → 41.4 15 16 (471) 17 (107)
°April 9 10 (100) 11 12 (*22) 13
'March 17 18 19 (78) 20 (*364) 0h
"March 3 Tarahao 4 (2 * 214) 5 (64) 6 (*350)  7

Tara, 1. Thorn: tara miro. 2. Spur: tara moa. 3. Corner; te tara o te hare, corner of house; tara o te ahu, corner of ahu. Vanaga. (1. Dollar; moni tara, id.) 2. Thorn, spike, horn; taratara, prickly, rough, full of rocks. P Pau.: taratara, a ray, a beam; tare, a spine, a thorn. Mgv.: tara, spine, thorn, horn, crest, fishbone. Mq.: taá, spine, needle, thorn, sharp point, dart, harpoon; taa, the corner of a house, angle. Ta.: tara, spine, horn, spur, the corner of a house, angle. Sa.: tala, the round end of a house. Ma.: tara, the side wall of a house. 3. To announce, to proclaim, to promulgate, to call, to slander; tatara, to make a genealogy. P Pau.: fakatara, to enjoin. Mq.: taá, to cry, to call. 4. Mgv.: tara, a species of banana. Mq.: taa, a plant, a bird. Ma.: tara, a bird. 5. Ta.: tara, enchantment. Ma.: tara, an incantation. 6. Ta.: tara, to untie. Sa.: tala, id. Ha.: kala, id. Churchill

Hao. Ta.: to encircle. To.: hao, id. Ma.: hao, to inclose, to draw around. Churchill.