Star system’s unstable nuclear path captured by artificial intelligence (5,8)

I believe the answer is:

alpha centauri

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'star system's' is the definition.
'alpha centauri' can be an answer for 'star' (I've seen this before). I'm not sure about the 'system's' bit.

'unstable nuclear path captured by artificial intelligence' is the wordplay.
'unstable' indicates an anagram.
'captured by' indicates putting letters inside.
'artificial intelligence' becomes 'AI' (synonyms).
'nuclear'+'path'='nuclearpath'
'nuclearpath' anagrammed gives 'lphacentaur'.
'lphacentaur' placed within 'ai' is 'ALPHA CENTAURI'.

Can you help me to learn more?

(Other definitions for alpha centauri that I've seen before include "Bright star near to the sun" , "Bright southern star" , "Closest star to the Sun" , "Brightest star in Centaurus" , "heavenly body" .)

I've seen this clue in The Times.

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