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