Mechanics of the Solar System by Evans J. A.;

Author:Evans, J. A.;
Language: eng
Format: epub, pdf
Publisher: Brown Dog Books

where v is the velocity of O relative to O’. Show that under this transformation the world-line of a photon, x = c t becomes x' = c' t' where c’ is given by (3.1). (N.B. The sign of v here differs from that in Reference 9.)

6.4 Verify from (3.1) that c'.c' = c. c = c2.

6.5 It follows from (3.2) & (3.3) that, for the case of planetary aberration, to lowest order in s/c, (s = |v|)

Deduce this result by considering the position of the planet at the moment when the light which is observed on Earth leaves the planet.

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