13.3.2—G = GM / r 2
- Syllabus
- 9702–2028–2029
- Objective
- 13.3.2
- Level
- A2
For a spherical source outside its surface, g=GM/r² in N kg⁻¹ or m s⁻².
Use M for the source and r from its centre. The inverse-square relation is a scaling law, not a claim that g changes linearly with height.
At twice the centre distance, a satellite experiences one quarter of the original field strength.
Do not use altitude alone when the planet’s radius is significant; r is radius plus altitude.