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

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Kepler's Third Law allows for the determination of the Sun's mass through the relationship between the orbital periods and semi-major axes of planets. However, this calculation cannot be made using Kepler's law alone; Newton's law of gravitation is essential for deriving the mass. By comparing the ratios of different planetary orbits, one can infer the mass of the Sun indirectly. The discussion emphasizes the interdependence of Kepler's and Newton's laws in understanding celestial mechanics. Ultimately, both laws are necessary for accurate calculations regarding the mass of the Sun.
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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.
 
That's what i felt.. thanks for the reply :approve:
 
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