I'm wondering when to use the Gravitational Constant G.
When to use these two equations and what are their differences:
Fgrav = m1*m2/d^2
Fgrav = G*m1*m2/d^2
Not sure which equation to use especially when comparing two objects (ie. two ships docked next to each other)
- oldprofLv 76 years agoFavorite Answer
Fgrav = m1*m2/d^2 is not...not...a proper equation. It's a proportionality Fgrav ~ m1*m2/d^2 . To make this into an equation, one must provide a constant of proportionality so that the ratio Fgrav/(m1*m2/d^2) = k a constant.
And that makes the proportionality into the equation Fgrav = k m1*m2/d^2; where k is given the symbol G because the whole thing is about gravity. Fgrav = G*m1*m2/d^2 is what you use for two docked ships.
You can't use Fgrav ~ m1*m2/d^2 like an equation because the LHS does not equal the RHS; it's not an equation. In fact, if you do a units analysis, you'll quickly see that the units on either side are not the same. And they must be in a proper equation.