Relativistic corrections to Coulomb's law

Foundations of Special Relativity

Zur Elektrodynamik bewegter Körper
English translation
Voigt transformation
Length contraction and time dilation
Velocity transformation
Examples
Momentum and energy
Energy expansion
Momentum expansion

Corrections to Kepler's Laws

Average values of powers of 1/r
Advance of Mercury's perihelion and the fine structure of Hydrogen

General Relativity

Principle of Equivalence
Time and gravitational mass
Black holes
The Planck length

Electrodynamics

Contraction in a current carrying wire
Torque on a current loop