## High-Precision Definition of Relativistic Effects of Frequency and Time Offset in the Atomic Clock System «Earth-Satellite»

Transactions of IAA RAS, issue 43, 14–26 (2017)

**Keywords**:
relativistic effects, standard of time and frequency, non-uniform gravitational field of the Earth, fields of Moon and Sun, circular orbit

### Abstract

The results of the investigation of the relativistic effects of time and frequency scale shifts are presented for the system of two atomic clocks, one of them are located on the Earth and another one is on the satellite. The influence of disturbing factors such as zonal harmonics of the Earth's non-uniform gravitational field, the influence of the Moon and Sun fields on terrestrial and satellite clocks, the unevenness of the Earth's rotation, and other perturbing factors distorting the satellite's circular orbit are taken into account. Relativistic increase in the length of the orbit is considered for the GLONASS and GOCE satellites. The results of modeling the relativistic mismatches of time scales are presented with allowance for perturbing factors.

### Citation

`V. F. Fateev, E. A. Rybakov. High-Precision Definition of Relativistic Effects of Frequency and Time Offset in the Atomic Clock System «Earth-Satellite» // Transactions of IAA RAS. — 2017. — Issue 43. — P. 14–26.`

```
@article{fateev2017,
abstract = {The results of the investigation of the relativistic effects of time and frequency scale shifts are presented for the system of two atomic clocks, one of them are located on the Earth and another one is on the satellite. The influence of disturbing factors such as zonal harmonics of the Earth's non-uniform gravitational field, the influence of the Moon and Sun fields on terrestrial and satellite clocks, the unevenness of the Earth's rotation, and other perturbing factors distorting the satellite's circular orbit are taken into account. Relativistic increase in the length of the orbit is considered for the GLONASS and GOCE satellites. The results of modeling the relativistic mismatches of time scales are presented with allowance for perturbing factors.},
author = {V.~F. Fateev and E.~A. Rybakov},
issue = {43},
journal = {Transactions of IAA RAS},
keyword = {relativistic effects, standard of time and frequency, non-uniform gravitational field of the Earth, fields of Moon and Sun, circular orbit},
pages = {14--26},
title = {High-Precision Definition of Relativistic Effects of Frequency and Time Offset in the Atomic Clock System «Earth-Satellite»},
url = {http://iaaras.ru/en/library/paper/1759/},
year = {2017}
}
```

```
TY - JOUR
TI - High-Precision Definition of Relativistic Effects of Frequency and Time Offset in the Atomic Clock System «Earth-Satellite»
AU - Fateev, V. F.
AU - Rybakov, E. A.
PY - 2017
T2 - Transactions of IAA RAS
IS - 43
SP - 14
AB - The results of the investigation of the relativistic effects of time
and frequency scale shifts are presented for the system of two atomic
clocks, one of them are located on the Earth and another one is on
the satellite. The influence of disturbing factors such as zonal
harmonics of the Earth's non-uniform gravitational field, the
influence of the Moon and Sun fields on terrestrial and satellite
clocks, the unevenness of the Earth's rotation, and other perturbing
factors distorting the satellite's circular orbit are taken into
account. Relativistic increase in the length of the orbit is
considered for the GLONASS and GOCE satellites. The results of
modeling the relativistic mismatches of time scales are presented
with allowance for perturbing factors.
UR - http://iaaras.ru/en/library/paper/1759/
ER -
```