Linked from
The 10 pages that link to Gravitational parameter, each with the reason it gives.
Orbital periodRelated: It captures the mass dependence in the period of a two-body orbit.
Vis-viva equationRelated: It sets the strength of gravity in the equation.
Hyperbolic trajectoryRelated: It sets the strength of the gravity shaping the trajectory.
OrbitRelated: This single quantity sets orbital speeds and periods in the two-body approximation.
Orbital energyRelated: It sets the strength of gravity in the standard orbital-energy formula.