Abstract

In this paper, we will show that in addition to measuring annual and diurnal stellar aberration it is also possible 7 directly to measure the angle of secular aberration caused by the motion of the solar system relative to other 8 stars. In the manuscript [1] we dealt with this problem and gave a short description of a special telescope. Using 9 such a telescope we would be able to measure the exact position of the cosmic objects and thus eliminate errors 10 that occur due to the stellar aberration. Assuming that the tube of the telescope is filled with some optical 11 medium [2], we will show that this does not significantly affect the measurement of the stellar aberration angle, 12 but also that these differences are still large enough to enable us to determine the velocity at which the solar 13 system moves relative to the other stars.

Highlights

  • Suppose we observe an arbitrarily chosen star, which we denote by (Z)

  • Starlight moves in straight line and will remain in the same direction regarding to the ecliptic plane

  • Photons enter in a perpendicular direction to the top plane of the telescope

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Summary

Introduction

Starlight moves in straight line and will remain in the same direction regarding to the ecliptic plane. Photons enter in a perpendicular direction to the top plane of the telescope. Let suppose the telescope moves relative to the starlight. At some instant t0 photon hits the upper surface of the telescope at the point S and at some instant t1, due to stellar aberration, it does not hit the lower surface of the telescope at point S’ but rather at the point A [Figure 2]. S (t0)S (t1) = v ∗ ∆t (the total distance traveled by the point S’, regarding the (K) ) (6) n−1 S (t0)A = n ∗ v ∗ ∆t (the photon is dragged by the medium in the moving telescope - our hypothesis) (7).

Coordinate Systems
Coordinate Transformations
Determining the actual position of the star and its total stellar aberration
Analysis of the results
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