Theoretical substantiations of the Sagnac effect

Geodesy

UDC:

528:535.224:621.3.029

DOI:

10.22389/0016-7126-2022-988-10-2-8

1 Mazurova E.M.

2 Petrov A.N.

Year:

2022

№:

988

Pages:

2-8

Center of Geodesy, Cartography and SDI

1,

2,

Abstract:

It is the first article of the two ones related to the Sagnac effect, the one of the main relativistic effects to be taken into account for synchronization of clocks in working global navigation satellite systems. Its sense consists of retarding/advancing signals propagating in opposite directions at the perimeter of a rotating disc. In the present article its theoretic foundation is given both within the framework of a kinematical effect in special relativity and in that of general relativity, where the effect is analyzed as a result of centrifugal forces potential’s action. Besides, in both the theories two various approaches are applied. This enables delving into physical sense of the phenomenon. This theoretical presentation is used in the second article of the series to outline the effect under real conditions at location on the surface of rotating Earth, when optical fiber link is used for synchronization of atomic clocks.

Keywords:

clock synchronization, relativity theory, Sagnac effect

The study was carried out within the framework of the Federal project “Maintenance, development and use of the GLONASS system” of the State Program of the RF “Space activities of Russia” for 2021–2030, registration number EGISU No. 1210806000081-5.

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Citation:

Mazurova E.M.,

Petrov A.N.,

(2022) Theoretical substantiations of the Sagnac effect. Geodesy and cartography = Geodezia i Kartografia, 83(10), pp. 2-8. (In Russian). DOI: 10.22389/0016-7126-2022-988-10-2-8