Einstein's Space-Time - An Introduction to Special and by Rafael Ferraro

By Rafael Ferraro

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Bradley had detected an effect that was not related to the Earth orbital position but to its state of motion: the star “moved” in the direction of the movement of the Earth, and its displacement did not depend on the distance to the star. 6. Ellipse observed by Bradley, and its relation with the movement of the Earth. 7). 7. Explanation of the aberration of light: (a) frame where the telescope moves with velocity V; (b) frame fixed to the telescope. In order that a star placed in the direction perpendicular to the movement of the telescope can be seen at the center of the field of view, the telescope must be oriented at the angle = arctg V/c (angle of aberration).

In the frame fixed to the ether the ray is perpendicular to the wave front. This property and the length ct of segment ED determine the angle of deflection V . Instead, in the frame fixed to the prism the emergent ray travels the line AD with speed c . In the figure on the right is the angle of aberration ( V c−1 sin ), and speed c results from applying the cosine theorem in AED: c 2 = c 2 + V 2 + 2 V c cos . 2) which is the equation to obtain V . , V = o + o + Vc sin o . 2) to obtain the searched value of f .

The Earth) relative to the universal ether at an unknown rate V. Even if the water did not flow, the last contribution would be present. However, since both rays travel closed paths which decompose into physically identical outward and return stretches, then it can be stated that the phase shift remains invariant if V changes to −V. On the contrary, if water flowed in the opposite direction (v → −v , then the difference t = t2 − t1 between the travel times of both rays would change sign because changing the direction of the flow is equivalent to an exchange of the roles of the rays.

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