G in Earth Units

[Bill Phil]

So, the gravitational constant G is ~6.67384E-11 m^3 kg^-1 s^-2 in the metric system.

What would it be in Earth units. Earth mass, Earth Radius, etc.

[maltesh]

What Earth-based unit are you proposing to use for time?

[RainDreamer]

Earth rotational period?

[Bill Phil]

Seconds is a universal unit. It's used across metric and imperial.

Could use one sidereal day, a year, or seconds.

EDIT:

I think a bigger problem is acceleration. Earth Radii per second per second?

Edited January 4, 2015 by Bill Phil

[maltesh]

Can't really use the second, it's an arbitrary partition of these proposed "Earth Units", rather than an observable property of said planet. Sidereal Day it is, then.

(6.6734E-11 m^3/(kg s^2)) * (5.972E24 kg/M_earth)*(86164.905 s/day_s)^2 / (6.371E6 m/r_earth)^3 = 11440 r_earth^3/(m_earth s_day^2)

Values used were pulled from the response box in Google Search, result is presented to four significant figures.