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There is more. We must not forget the role of Antares, which by its heliacal rising in rongorongo times was a sign of the arrival of the summer 'year'. Counting with the measure 181 from the heliacal rising of Aldebaran to the corresponding nakshatra position at Antares means Antares would be a sign of autumn in the sky of May 28.

I have searched for the nakshatra star which corresponds to Ain and it seems to be σ Scorpii, because it was a 'star pillar' both in China and according to the Hindu nakshatra system:

Yed Prior δ Ophiuchi 2.73 03° 34′ S 16h 12m 246.5  
Yed Posterior ε Ophiuchi 3.23 04° 14′ S 16h 16m 247.6  
Rukbalgethi Shemali τ Herculis 3.91 46° 19′ N 16h 16m 247.6  
  ο Scorpii 4.55 24° 10′ S 16h 17m 247.8  
Heart σ Scorpii 2.90 25° 36′ S 16h 18m 248.0 CH
Hejian γ Herculis 3.74 19° 09′ N 16h 19m 248.2  

I decided to give σ Scorpii 'Heart' as its proper name and similarly I gave the name 'Neck' to κ Virginis (cfr at tara in Ga2-8), because both Heart and Neck are names in the Chinese system:

Ga1-1 (*65) Ga1-2 Ga1-3 Ga1-4
 no stars listed σ Scorpii (247.0)  no stars listed Antares (249.1)
Ain, θ¹ Tauri, θ² Tauri (65.7) Aldebaran (68.2), Theemin (68.5)
May 25 (5-25) 26 27 28
Sheratan 9 10 11 12
Sheratan 9 10 11
May 25 26 (146) 27
Ca3-14 Ca3-15 Ca3-16
tapamea - tagata hoi hatu ki te ariki kiore
 no stars listed Heart (246.0)  no stars listed
Ain, θ¹ Tauri, θ² Tauri (65.7)
Sheratan 12 13 (378) 14 Pleione 1
May 28 (148) 29 30 31
Ca3-17 (68) Ca3-18 Ca3-19 Ca3-20
tapamea - tagata rima iri te henua te hokohuki te kava te kiore i te henua
Antares (249.1) no stars listed
Aldebaran (68.2), Theemin (68.5)
Date Heliacal star RA distance Nakshatra star
April 1 (91) η Andromedae (11.4) 181.5 Mimosa (192.9)
April 17 (107) Polaris (26.6) 181.9 Benetnash (208.5)
April 24 (114) Mira (33.7) 181.1 Neck (214.8)
May 26 (146) Ain (65.7) 181.3 Heart (247.0)
May 28 (148) Aldebaran (68.2) 180.9 Antares (249.1)
July 6 (187) Wezen (107.1) 181.3 Nunki (288.4)
August 21 (233) Regulus (152.7) 181.9 Sadalmelik (334.6)
September 4 (247) Dubhe (166.7) 181.1 Fomalhaut (347.8)

In the Chinese system the station opposite to Net (ruled by Ain and the Crow) is number 19 - 28 / 2 = 5, viz. Heart:

1 Horn α Virginis Crocodile
2 Neck κ Virginis Dragon
3 Root α² Librae Badger
4 Room π Scorpii Hare
5 Heart σ Scorpii Fox
6 Tail μ¹ Scorpii Tiger
7 Winnowing Basket γ Sagittarii Leopard
8 South Dipper φ Sagittarii (?) Unicorn
9 Ox / Herd Boy β Capricornii Buffalo
10 Girl ε Aquarii Bat
11 Emptiness β Aquarii Rat
12 Rooftop α Aquarii Swallow
13 House α Pegasi Pig
14 Wall γ Pegasi Porcupine
15 Legs η Andromedae (?) Wolf
16 Bond β Arietis Dog
17 Stomach 4¹ Arietis (?) Pheasant
18 Hairy Head η Tauri (?) Cockerel
19 Net ε Tauri Crow
20 Turtle λ Orionis Monkey

The star Heart is presumably important for us, because we should remember 'the heart of every circuit':

... In the inscriptions of Dendera, published by Dümichen, the goddess Hathor is called 'lady of every joy'. For once, Dümichen adds: Literally ... 'the lady of every heart circuit'. This is not to say that the Egyptians had discovered the circulation of the blood. But the determinative sign for 'heart' often figures as the plumb bob at the end of a plumb line coming from a well-known astronomical or surveying device, the merkhet. Evidently, 'heart' is something very specific, as it were the 'center of gravity' ... See Aeg.Wb. 2, pp. 55f. for sign of the heart (ib) as expressing generally 'the middle, the center'.

And this may lead in quite another direction. The Arabs preserved a name for Canopus - besides calling the star Kalb at-tai-man ('heart of the south') ... Suhail el-wezn, 'Canopus Ponderosus', the heavy-weighing Canopus, a name promptly declared meaningless by the experts, but which could well have belonged to an archaic system in which Canopus was the weight at the end of the plumb line, as befitted its important position as a heavy star at the South Pole of the 'waters below'.

Here is a chain of inferences which might or might not be valid, but it is allowable to test it, and no inference at all would come from the 'lady of every joy'. The line seems to state that Hathor (= Hat Hor, 'House of Horus') 'rules' the revolution of a specific celestial body - whether or not Canopus is alluded to - or, if we can trust the translation 'every', the revolution of all celestial bodies. As concerns the identity of the ruling lady, the greater possibility speaks for Sirius, but Venus cannot be excluded; in Mexico, too, Venus is called 'heart of the earth'. The reader is invited to imagine for himself what many thousands of such pseudo-primitive or poetic interpretations must lead to: a disfigured interpretation of Egyptian intellectual life ...

Line Ca3 could describe the 'heart' (center) of 'every circuit' (cycle) in the text. In the Hindu system Jyeshtha is associated with circular objects:

1 Ashvini β and γ Arietis Horse's head
2 Bharani 35, 39, and 41 Arietis Yoni, the female organ of reproduction
3 Krittikā M 45 Tauri Knife or spear
4 Rohini α Tauri Cart or chariot, temple, banyan tree
5 Mrigashīrsha λ, φ¹, and φ² Orionis Deer's head
6 Ardra α Orionis Teardrop, diamond, a human head
7 Punarvasu α and β Gemini Bow and quiver
8 Pushya γ, δ and θ Cancri Cow's udder, lotus, arrow and circle
9 Āshleshā δ, ε, η, ρ, and σ Hydrae Serpent
10 Maghā α Leonis Royal Throne
11 Purva Phalguni δ and θ Leonis Front legs of bed, hammock, fig tree
12 Uttara Phalguni β Leonis Four legs of bed, hammock
13 Hasta α, β, γ, δ, ε Corvi Hand or fist
14 Chitra α Virginis Bright jewel or pearl
15 Svāti α Bootis Shoot of plant, coral
16 Visakha α, β, γ and ι Librae Triumphal arch, potter's wheel
17 Anuradha β, δ, and π Scorpii Triumphal archway, lotus
18 Jyeshtha α, σ, and τ Scorpii Circular amulet, umbrella, earring
19 Mula ε, ζ, η, θ, ι, κ, λ, and μ Scorpii Bunch of roots tied together, elephant goad