# If there was no Earth, what would be the acceleration of gravity from here from the Sun?

Suppose there were no Earth to pull us back and we're hanging in the solar system. Assuming no other force of gravity from other bodies, what would be the $g$ from the Sun?

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You can get this from Newton's law of gravitation: the acceleration due to gravity is then $$g=\frac Fm =G\frac{mM_\odot }{mr^2}=\frac{GM_\odot}{r^2},$$ which comes out to about 5 mm/s$^2$. This is of course the orbital acceleration of Earth.
 Would that orbital acceleration be the speed that one object travels along the orbital? How fast an object( typical human) travels along that orbital if $g= 5 mm/s^2$? – alvoutila Jan 27 at 11:59 You're confusing speed and acceleration. (!). The orbital speed of Earth is about 30 km/s. Anything at Earth's position with an orbital speed smaller than that would go much closer to the Sun; below 3 km/s you're likely to crash into it. – Emilio Pisanty Jan 29 at 12:44