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The Orion constellation is today not on the ecliptic path of Sun (and the rest of the 'living' - moving - stars, the planets). It is below the flat 'plain of life':

However, the illustration above is misleading in locating Orion below the ecliptic, because it was precisely on the ecliptic ca 26,000 / 4 = 6,500 years ago. At an equinox the ecliptic is crossing the sky equator and Orion is on the sky equator. At a solstice the distance between the ecliptic and the sky equator is at a maximum, and therefore at midsummer today Orion is  far below the ecliptic.

When the great pyramids were built it was Taurus which was at spring equinox and Orion had gone down. The burial chambers of the first pyramids were underground. Their positions corresponded to where Orion was, viz. in the Underworld.

The Underworld could have been regarded as the way from descent in the west to rebirth in the east. This could explain why time on the Gizah plateau runs from west to east, with the Nile like the Milky Way arriving beyond the Belt star pyramids. In the night Sun was moving towards the east below the earth.

Likewise, when Moon is said to rise in the west and descend in the east it is probably because they are thinking of her nighttime journey (on the other side of Earth).

The Belt stars are central and they cover 4 days, with 1 of the 4 coinciding with Heka instead of a Belt star:

Pleione 7 (21) 8 9 10 11
June 6 (157) 7 8 9 10
Ca4-1 (77) Ca4-2 Ca4-3 Ca4-4 Ca4-5
kua tupu te rakau kua tupu - te kihikihi te hau tea tagata - te rau hei te hokohuki i te moko
 λ Eridani (76.7)  Rigel (78.1) η Scorpii (259.9)   Bellatrix, Saif al Jabbar (80.7)
Pleione 12 13 Albatain 1 (28) 2
June 11 12 (528) 13 14
Ca4-6 Ca4-7 Ca4-8 (84) Ca4-9
te rau hei e gagata hakaariki manu te rau hei
 
 
Lesath (264.7), Shaula (265.3) Sargas (266.3)
Mintaka (82.4) φ¹ Orionis (83.1), Heka (83.2), Hatysa (83.5), φ² Orionis (83.6)  Alnilam (83.7) Alnitak (84.7)
Albatain 3 4 5
June 15 16 17 (168)
Ca4-10 Ca4-11 Ca4-12
te hokohuki te moko te hokohuki
  Girtab (267.6) Apollyon (268.9)
  Saiph (86.5) Betelgeuze (88.3)
Albatain 6 (33) 7 (399) 8 9 (36)
June 18 19 20 21 (172)
Ca4-13 Ca4-14 Ca4-15 Ca4-16 (92)
kua tuu tona mea te henua te hau tea mauga hua - te henua

In Ca4-4 the rau hei part is in front and it presumably refers to June 11-14, defined by the pair of rau hei in Ca4-6 and Ca4-9 (where we can count 4 * 6 = 24 and 4 * 9 = 36 as allusions to the 'night' location of Sun). Metoro said manu without his normal rere, i.e. he may have meant a dead 'bird'.

The left 'arm' of the manu bird is making a sign similar to that of tagata rogo 8 days earlier:

Pleione 2 3 4 (383) 5 6 (20) 7 Albatain 1
June 1 2 3 4 5 (156) 13
Ca3-21 Ca3-22 Ca3-23 Ca3-24 Ca3-25 Ca4-8 (84)
tagata tuu rima ki ruga te maitaki te henua Rei hata ia tagata rogo manu

In the calendar of the planets we can also see a Sun rau hei:

Hb9-17 Hb9-18 Hb9-19 Hb9-20 Hb9-21

Moe at the end of Sun-day is preceded by a living spirit (manu rere) and we can at right imagine the horizon in the east (with the day of Moon following).