Roberto Martins Searching for the Ether DIO 17 then developed an equation to account for the effect, analyzed the data using the minimum square method, and obtained his second measurement of the velocity of the Earth relative to the ether. The speed obtained in this case was about 700 km/s, in the direction of the constellation of Perseus (not very far from Auriga). Courvoisier regarded the agreement of those two earliest results as satisfactory, and this led him to further researches. There was a delay of 5 years between Courvoisier’s first positive results and his next publication on the subject. ## The method of the moving mirrorCourvoisier derived equations c = the speed of light relative to the ether = 300,000 km/s v = speed of the Earth (or the solar system) relative to the ether A = right ascension of the apex of the absolute motion D = declination of the apex of the absolute motion a = North local component of v/c P = Zenith local component of v/c y = West local component of v/c <|) = latitude of the terrestrial observatory 9 = sidereal time of measurement A straightforward geometrical analysis shows that the components of v/c are: a = (v/c) [cos <|) sin D - sin <|) cos D cos (0—^4)] (1) P = (v/c) [sin <|) sin D + cos <|) cos D cos (9-v4)] (2)
| Roberto Martins Searching for the Ether DIO 17 y = - (v/c) cos D sin (9- 4) (3) NP Fig. 2. This diagram shows the main geometrical parameters used in Courvoisier’s theoretical analysis of ether effects. The spherical surface represents the Earth, and the observer is at /, and the local directions Z, N, W correspond to Zenith, geographical North and West. The North Pole is in the direction NP. The velocity of the Earth is V . In Courvoisier's first method, as described above, light was reflected by a mirror. To derive the theoretical effect, it was necessary to study the influence of the motion of the mirror through the ether upon the direction of the reflected ray. Courvoisier made use of the non-relativistic analysis developed by Adolf von Hamack,
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