The difference between Binary star system and Double star
When used as nouns, binary star system means a binary star, whereas double star means two stars which form a stellar system, such that they orbit the point of equilibrium of their gravitational fields.
check bellow for the other definitions of Binary star system and Double star
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Binary star system as a noun (star):
A binary star.
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Double star as a noun (star):
Two stars which form a stellar system, such that they orbit the point of equilibrium of their gravitational fields; a binary star.
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Double star as a noun (star):
Two stars that appear to be one when seen with the naked eye, either because they orbit one another (binary stars) or happen to be in the same line of sight even though they are separated by a great distance (optical binaries).