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Weight of an object on a planet is the gravitational attraction force on the mass m of the object exerted by the mass M of the planet.  Let the distance between the object and the planet be = R, which is the radius of the planet.

  Newtons' law of gravitation = F = G M m / R²

       Weight = mg =  F = G m * M/R²
   It so happens that  Mass/Radius²  on Earth is around 6 times to that on the Moon.    Hence,  weight of an object  is 1/6th of the weight on Earth.

   Simply depends on the mass of the planet and its radius.

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