Vaka means canoe, but vake (in tavake) should be something else. Maybe vake is a cousin of va'e (go away, leave) and I suspect at least a wordplay:

Ovakevake

According to ancient beliefs, the home of the spirits called ákuáku: i Hiva, i Ovakevake. Some natives remember that old people told them that when the first missionaries arrived several ákuáku took their leave, saying that they were returning to Hiva, to Ovakevake. Another place where ákuáku supposedly lived before coming here was, according to the ancient belief, Maru a Pó, in Tahiti

Tavake can be either tava-ke or ta-vake, but the latter alternative seems not very probable, because I have found no word vake as such.

The souls of the dead (ákuáku) could leave this world only by way of the Galaxy, according to the old view. And Ga Vaka are stars low down in the Galaxy, a major station on the way down. South of the equator the souls should move southwards (the shortest way to a pole position).

Hamlet's Mill:

... All 'change stations' are found invariably in two regions: one in the South between Scorpius and Sagittarius, the other in the North between Gemini and Taurus; and this is valid through time and space, from Babylon to Nicaragua. Why was it ever done in the first place? Because of the Galaxy, which has its crossroads with the ecliptic between Sagittarius and Scorpius in the South, and between Gemini and Taurus in the North ...

Far away, the Mangaians of old (Austral Islands, Polynesia), who kept the precessional clock running instead of switching over to 'signs', claim that only at the evening of the solstitial days can spirits enter heaven, the inhabitants of the northern parts of the island at one solstice, the dwellers in the south at the other ...

I cannot find Ga Vaka in Makemson. She instead has the following names for these stars:

 

Centaurus

Alpha

Beta

Hawaii

 

Melemele?

Polapola?

Pukapuka

Na Mara-o-te-tokolua

 

 

Na Lua-mata-o-Wua-ma-Velo

Tonga

O-nga-tagata

 

 

Tautanga-ufi

Mamangi-Halahu

Mau-ko-mau

Tuamotu

 

Na Kuhi

Tere

Tere, we know, means to escape:

Tere

1. To run, to flee, to escape from a prison. 2. To sail a boat (also: hakatere); tere vaka, owner of a fishing boat. 3. (Deap-sea) fisherman; tere kahi, tuna fisherman; tere ho'ou, novice fisherman, one who goes deap-sea fishing for the first time. Penei te huru tûai; he-oho te tere ho'ou ki ruga ki te hakanonoga; ana ta'e rava'a, he-avai e te tahi tagata tere vaka i te îka ki a îa mo hakakoa, mo iri-hakaou ki te hakanonoga i te tahi raá. The ancient custom was like this: the novice fisherman would go to a hakanonoga; if he didn't catch anything, another fisherman would give him fishes to make him happy so he'd go again one day to the hakanonoga (more distant fishing zones where larger fishes are found). Vanaga.

To depart, to run, to take leave, to desert, to escape, to go away, to flee, fugitive, to sail, to row, to take refuge, to withdraw, to retreat, to save oneself; terea, rest, defeat; tetere, to beat a retreat, to go away, refugee; teretere, to go away, hurrah; hakatere, to set free, to despatch, to expel, to let go, to liberate, to conquer, helmsman; terega, departure, sailing; teretai, a sailor. Churchill.

And Makemson informs us that Na Kuhi means 'the ancestors'. Our ancestors (nga kuhi) have escaped (tere) from this prison earth by the Milky Way, maybe. Below is a skeleton composed from human and zebra bones (Wikipedia):

According to English Etymology the origin of the word 'centaur' is not known. But I have a guess:

"cenotaph ... sepulchral monument to a person buried elsewhere ... Gr. kenós empty + táphos tomb." (English Etymology)

With the body buried for instance on Easter Island and its soul moving away along the Milky Way the place of burial will not be a cenotaph but its opposite, I suppose, a tomb without a soul.

I suggest 'centaur' means empty + bull, i.e. the season of the mighty spring Bull in heaven is over ('empty').

Empty hands evidently indicate 'finished', and such are not unusual in rona glyphs:

Furthermore, to design a centaur is to give its end to a beast and its front to a man. Or to a woman:

"Though female centaurs, called Kentaurides, are not mentioned in early Greek literature and art, they do appear occasionally in later antiquity. A Macedonian mosaic of the 4th BC is one of the earliest examples of the Centauress in art. Ovid also mentions a centauress named Hylonome who committed suicide when her husband Cyllarus was killed in the war with the Lapiths. In a description of a painting in Neapolis, the Greek rhetorician Philostratus the Elder describes them as sisters and wives of the male centaurs who live on Mount Pelion with their children:

How beautiful the Centaurides are, even where they are horses; for some grow out of white mares, others are attached to chestnut mares, and the coats of others are dappled, but they glisten like those of horses that are well cared for. There is also a white female Centaur that grows out of a black mare, and the very opposition of the colours helps to produce the united beauty of the whole."

(Wikipedia)