List of Solar System Objects By Size - Surface Gravity

Surface Gravity

The surface gravity at the equator of a body can in most cases be accurately calculated using Newton's law of universal gravitation and centrifugal force.

The gravitational acceleration at the equator is given by Newton's law of universal gravitation. The formula that follows from this law is:

where

ag is the magnitude of the gravitational acceleration
G is the gravitational constant
m is the mass of the celestial body
r is the equatorial radius of the celestial body (if this varies significantly, the mean equatorial radius is used)

The magnitude of the outward acceleration due to centrifugal force is given by

where

T is the rotation period of the celestial body

The surface gravity at the equator is then given by

g = a_g - a_c
= \frac{G m}{r^2} - \frac{4\pi^2r}{T^2}

Read more about this topic:  List Of Solar System Objects By Size

Famous quotes containing the words surface and/or gravity:

    “We’ve forgotten what it’s like not to be able to reach the light switch. We’ve forgotten a lot of the monsters that seemed to live in our room at night. Nevertheless, those memories are still there, somewhere inside us, and can sometimes be brought to the surface by events, sights, sounds, or smells. Children, though, can never have grown-up feelings until they’ve been allowed to do the growing.”
    —Fred Rogers (20th century)

    “Here I sit down to form characters. One I intend to be all goodness; All goodness he is. Another I intend to be all gravity; All gravity he is. Another Lady Gish; All Lady Gish she is. I am all the while absorbed in the character. It is not fair to say—I, identically I, am anywhere, while I keep within the character.”
    —Samuel Richardson (1689–1761)