Kepler's Third Law: Mass of Sun and Newton's Law

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I read somewhere that the mass of the sun can be determined using Keplers third law. How is this possible without indulging Newton's law(gravitation) in ?:confused:
 
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It can be determined using kepler's third law, but not with kepler's third law alone. Only the ratios of different periods and semi-major axes can be compared with kepler's third law.