F = GMm/r²
G = 6.674×10⁻¹¹ N·m²/kg²
M = 5.972×10²⁴ kg (Earth)
F ∝ 1/r² — inverse square law
Gravitational Force
— N
0— N max
r · distance from Earth center2.0 R⊕
m · satellite mass1000 kg
r (km)— km
F at r=1R⊕— N
F at 2r— N (¼)
F at 3r— N (⅑)
g at this r— m/s²
g at surface9.8 m/s²
drag r — watch F drop fast
double r → F drops to ¼
triple r → F drops to ⅑
this is the inverse square law