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Aberration From a Satellite in Parallel to Aberration From Earth


Viazminsky, Caesar P


Research Papers





Date Published:

October 13, 2021




stellar aberration; aberration in a satellite; graded inertial frames; stars’ apparent elliptic trajectories; aberration correction vector; satellites connective matrices.


The astronomer James Bradley conducted during the period (1725-1728) a series of observations from Greenwich observatory aiming to detect a stellar parallax, which would be then a concrete evidence of the Copernican picture of the solar system. To his surprise, the result of every measurement obtained corresponded to what he expected to get in a measurement done three months earlier. Bradley realized that he was witnessing a new physical effect, distinct from parallax, to which he presented an explanation that conceived light as a corpuscular stream travelling at finite velocity. Bradley’s equation for the aberration angle predicted, when applied in reverse, a better estimation of light velocity, and the aberration phenomenon itself was a concrete support of heliocentrism. In the current work we employ the theory of universal space and time to show that a given direction in a frame of reference is tilted when observed in a moving frame by an angle that depends on the velocity of the moving frame. The latter fact is utilized to explain stellar aberration, determine the deviation of a star’s vision direction from its true one, and deduce its apparent position at any instant as a function of its latitude and time. The novel concept of aberration correction vector is employed to derive the apparent elliptic path of an observed celestial object at any time. The concept of graded inertial frames is introduced and utilized to deal with aberration when observed from...

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