Note 1.
The fundamental electro-magnetic equations of Maxwell for stationary
media are:—
curl H = 1/_c_ (∂D/∂_t_ + ρν) (1)
curl E = -1/_c_ ∂B/∂_t_ (2)
div D = ρ
B = μH
div B = 0
D = kE
According to Hertz and Heaviside, these require modification in the case
of moving bodies.
Now it is known that due to motion alone there is a change in a vector
_R_ given by
(∂_R_/∂_t_) due to motion = _u_. div R + curl [_Ru_]
where _u_ is the vector velocity of the moving body and [R_u_] the
vector product of R and _u_.