Hence Fresnel's hypothesis as to the behaviour of ether inside matter
is equivalent to the assumption that a potential function,
∫ μ² v cos θ ds , exists throughout all transparent space, so far
as motion of ether alone is concerned.
Given that condition, no first-order interference effect due to drift
can be obtained from stationary matter by sending rays round any kind
of closed contour; nor can the path of a ray be altered by etherial
drift through any stationary matter. Hence filling a telescope tube
with water cannot modify the observed amount of stellar aberration.
The equation to a ray in transparent matter moving with velocity _u_
in a direction φ, and subject to an independent ether drift of speed
_v_ in direction θ, is
∫ ds / (V/μ cos ε + v/μ² cos θ + u[1 - (1/μ²)] cos φ) = const.
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