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1. The 3 Belt Stars of Orion are in the center of a square of stars, and to mention them in a withershins order they are Rigel, Bellatrix, Betelgeuze, and Saiph:
 
 

Cursa

β Eridani

2.78

05° 09′ S

05h 05m

77.4

485.4

484¼

Rigel

β Orionis

0.18

08° 15′ S

05h 12m

79.1

487.1

486

Bellatrix

γ Orionis

1.64

06° 18′ N

05h 22m

81.7

489.7

488½

Elnath

β Tauri

1.65

28º 34' N

05h 23m

81.9

489.9

488¾

Mintaka

δ Orionis

2.25

00° 20′ S

05h 29m

83.4

491.4

490¼

Alnilam

ε Orionis

1.69

01° 14′ S

05h 34m

84.7

492.7

491½

Alnitak

ζ Orionis

1.74

01° 58′ S

05h 38m

85.7

493.7

492½

Saiph

κ Orionis

2.07

09° 41′ S

05h 45m

87.5

495.5

494¼

Betelgeuze

α Orionis

0.58

07° 24′ N

05h 52m

89.3

497.3

496

The 6th hour
Ga1-12 (485) Ga1-13 Ga1-14 Ga1-15 Ga1-16
Cursa (485.4)   Rigel (487.1)   Bellatrix (489.7)
Ga1-17 Ga1-18 Ga1-19 (492) Ga1-20
Elnath (489.9)  Mintaka (491.4)   Alnilam (492.7)
Ga1-21 Ga1-22 Ga1-23 (496) Ga1-24 Ga1-25
Alnitak (493.7)   Saiph (495.5) Betelgeuze (497.3)  
Ga1-26 Ga1-27 (500) Ga1-28 Ga1-29 Ga1-30 (*95)

The last of them to rise, Betelgeuze, has a name which I prefer to understand as the 'house' (bet-) of Jauzah (-el-geuze). Inside a house it is dark, which agrees with the atariki ('king of shadows') glyph type in Ga1-24 (cfr at The Arm of Sun):

atariki
en face person emerging from a cross
Sun at winter solstice (?)

"Betelgeuze is from Ibt al Jauzah, the Armpit of the Central One; degenerated into Bed Elgueze, Beit Algueze, Bet El-geuze, Beteigeuze, etc., down to the present title, which itself also is written Betelgeuse, Betelguese, Betelgueze, Betelgeux, etc." (Allen)

The armpit seems to be a hole which generates power, at least for the little snail who became the moon:

... In the beginning there was nothing but the sea, and above soared the Old-Spider. One day the Old-Spider found a giant clam, took it up, and tried to find if this object had any opening, but could find none. She tapped on it, and as it sounded hollow, she decided it was empty. 

By repeating a charm, she opened the two shells and slipped inside. She could see nothing, because the sun and the moon did not then exist; and then, she could not stand up because there was not enough room in the shellfish. Constantly hunting about she at last found a snail. To endow it with power she placed it under her arm, lay down and slept for three days.

Then she let it free, and still hunting about she found another snail bigger than the first one, and treated it in the same way. Then she said to the first snail: 'Can you open this room a little, so that we can sit down?' The snail said it could, and opened the shell a little. Old-Spider then took the snail, placed it in the west of the shell, and made it into the moon ...

Hai

Hai: 1. With (instrumental). 2. To, towards. He oho hai kona hare, to go home. He oho hai kona hagu, mo kai, to go where there is food to eat. 3. Give me: hai kumara, give me some sweet potatoes. Ha'i: 1.To give, to deliver, to hand over. 2. To carry under the armpit. 3. To hug, to embrace. 4. To wrap up; parcel, packet. Ha'iga, armpit. Haîara, to guide, to direct (someone). Ka haîara koe i taaku poki ki te kona rivariva, guide my son to a good spot. Vanaga.

1. To wrap up, to make into parcels, to envelop; food tied up in bundles (ai). PS Sa.: sai, a tightly bound bundle. To.: haihai, to tie up in a bundle. Fu.: sai, to tie; saisaiga, a bundle. Niuē: hai, to tie fast. 2. To carry, to transport. Ta.: afai, to carry an object, to transport; afafai, capable of carrying a heavy burden, to carry here and there. 3. To be in heat, to copulate, to embrace; concupiscence, fornication, impurity; lascivious, impure (ai). P Ta.: ai, to copulate. Haiga, armpit. PS Sa.: fa'iga, a joint. Haipo, heart; haipo rahirahi, shortness of breath. Mq.: houpo, heart. Haite (ha causative, ite) numeral. Churchill.

Pau.: haifa, virile, manly. Ta.: aiaha, a brave young warrior. Churchill. Mgv.: hai, a fish. Ta.: fai, the stingray. Mq.: fai, hai, id. Sa.: fai, id. Ma.: whai, id. Haihai, evening (metathetic). Sa.: afiafi, id. Churchill.