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5. In addition to Nga Vaka (α and β) there are 5 further stars in Centaurus which have been assigned Greek letters:

χ 14h 06m 02.79s 14h 06.047m 214.0
θ 14h 06m 41.32s 14h 06.689m 214.1
Arcturus 14h 15m 40.35s 14h 15.673m 216.4
ψ 14h 20m 33.48s 14h 20.558m 217.6
η 14h 35m 30.45s 14h 35.508m 221.4
κ 14h 59m 09.70s 14h 59.162m 227.4

15th hour:

Agena β Centauri 0.61 60° 08′ S 14h 00m 213.1 621.1
Thuban α Draconis 3.67 64° 37′ N 14h 03m 213.8 621.8
  χ Centauri 4.36 41° 11′ S 14h 04m 214.0 622.0
Menkent θ Centauri 2.06 36° 22′ S 14h 04m 214.1 622.1
Asellus Tertius κ Bootis 4.53 51° 47′ N 14h 11m 215.8 623.8
Arcturus α Bootis −0.05 19° 27′ N 14h 13m 216.4 624.4
Asellus Secundus ι Bootis 4.75 51° 22′ N 14h 13m 216.5 624.5
  λ Bootis 4.18 46° 05′ N 14h 14m 216.6 624.6
  ψ Centauri 4.05 37° 53′ S 14h 18m 217.6 625.6
Asellus Primus θ Bootis 4.04 51° 51′ N 14h 23m 218.8 626.8
  ρ Bootis 3.57 30° 22′ N 14h 29m 220.5 628.5
Haris γ Bootis 3.04 38° 32′ N 14h 30m 220.7 628.7
  σ Bootis 4.47 29° 45′ N 14h 32m 221.2 629.2
  η Centauri 2.33 42° 09′ S 14h 33m 221.4 629.4
Toliman α Centauri −0.01 60° 38′ S 14h 36m 222.2 630.2
  π Bootis 4.49 16° 25′ N 14h 38m 222.8 630.8
  ζ Bootis 4.43 13° 44′ N 14h 39m 222.9 630.9
  ο Bootis 4.60 16° 58′ N 14h 43m 223.9 631.9
Izar ε Bootis 2.70 27° 17′ N 14h 43m 224.0 632.0
Zuben Elgenubi α Librae 2.75 15° 50′ S 14h 48m 225.2 633.2
  ξ Bootis 4.54 19° 06′ N 14h 49m 225.5 633.5
Kochab β Ursae Minoris 2.07 74° 22′ N 14h 51m 226.0 634.0
Ke Kwan κ Centauri 3.13 42° 06′ S 14h 57m 227.4 635.4
Zuben Elakribi δ Librae 4.91 08° 19′ S 14h 58m 227.8 635.8
Ga6-8 (149) Ga6-9 (*214) Ga6-10 Ga6-11
Agena (213.1) Thuban (213.8), χ Centauri (214.0), Menkent (214.1)   Asellus Tertius (215.8), Arcturus (216.4)
14h = 213.1 October 21 22 (295) 23
Ga6-12 Ga6-13 Ga6-14 Ga6-15 (156)
Asellus Secundus (216.5), λ Bootis (216.6) ψ Centauri (217.6)  Asellus Primus (218.8)  
October 24 25 26 27 (300)
Ga6-16 Ga6-17 (*222) Ga6-18 Ga6-19 (160)
ρ Bootis (220.5). Haris (220.7), σ Bootis (221.2), η Centauri (221.4) Toliman (222.2)   ο Bootis (223.9), Izar (224.0)
October 28 29 30 31 (304)
Ga6-20 Ga6-21 Ga6-22 Ga6-23 (**136)
Zuben Elgenubi (225.2) ξ Bootis (225.5), Kochab (226.0)  Ke Kwan (227.4) Zuben Elakribi (227.8)
November 1 (305) 2 3 15h = 228.3

Allen:

"In China κ was Ke Kwan, a Cavalry Officer ..."

Ma Wei (δ in September 21) was 'the Horses' Tail' and in the European version of Centaurus the star κ is the outstretched forearm. The 'Horse' seems in China to be rising a little later.

The position at the end of Centaurus is presumably significant, because the Greek letter κ is derived from the Phoenician kaph - cfr the similarly positioned κ Aurigae (at Coma Berenices II):

... Kaph is thought to have been derived from a pictogram of a hand (in both modern Arabic and modern Hebrew, kaph means palm/grip) ...

The 'grasping hand' is evidently like some venomous snakes waiting for the last person in the line, an idea which appears to be in harmony with the type of glyph (rau hei) at κ Centauri.

It has been proposed, though I cannot remember my source, that the word elementa comes from an old alphabet which began with the letters L, M, and N. If so, then K could have been the last letter.

Allen does not mention Menkent, but in Wikipedia we can read:

"Theta Centauri (θ Cen, θ Centauri) is a star in the southern constellation of Centaurus, the centaur. It is has the traditional Arabic name Menkent (possibly abbreviation of al mankib al-qanturis, meaning 'shoulder of the Centaur')."