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Let's suppose to have a huge planet with an ellipsoidal shape with 2 horizontal axis equal (a=b) and mach greater than the vertical axis. The mass is uniform.

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Question: If I was in on the surface of the planet, where would I weight more? on the pole or on the equator?

Is it still possible to use the formula: $G\frac{Mm}{r^2}$ ?

Disregard the rotation of the planet.

Qmechanic
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Federico Gentile
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  • My instinct is to say you'd weigh more at the poles, your weight in a gravitational field is proportional to r^2. But I don't really know – Alex Robinson Jan 11 '18 at 08:54
  • The centre of mass is at the centre of the ellipsoid so you are looking for the distance between you and the centre of mass to be smallest. – Farcher Jan 11 '18 at 09:09

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