Incidentally, with sufficiently precise measurements it’s perfectly possible to get a gravitational map of the entire Solar System off a random household object.
Also incorrect. More than one configuration of masses can have exactly the same effect on the object. No matter how precisely you measure the properties of the object, you can never distinguish between those configurations.
Also incorrect. More than one configuration of masses can have exactly the same effect on the object. No matter how precisely you measure the properties of the object, you can never distinguish between those configurations.