title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð¾ÑÐ¸ÐµÐ½ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÑÐ´Ð²Ð¸Ð³Ð° ÑÐ°ÑÑÐ¾ÑÑ Ð² Ð±Ð¾ÑÑÐ¾Ð²ÑÑ ÑÑÐ±Ð¸Ð´Ð¸ÐµÐ²ÑÑ Ð°ÑÐ¾Ð¼Ð½ÑÑ ÑÐ°ÑÐ°Ñ Ð½Ð° ÑÐ¾ÑÐ½Ð¾ÑÑÑ Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸ÑÑÐµÐ¼Ñ ÑÐ¿ÑÑÐ½Ð¸ÐºÐ¾Ð²Ð¾Ð¹ Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¸ Galileo
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Influence of the orientation frequency shift in the onboard rubidium atomic clock on the positioning accuracy of the Galileo satellite navigation system
Creators: name: Ð¡ÐµÐ¼ÐµÐ½Ð¾Ð²Ð°, Ð¡Ð¾ÑÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÑÐ²ÐµÑÑ ÑÐ¾Ð½ÐºÐ¸Ð¹ Ð¿ÐµÑÐµÑ Ð¾Ð´
Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
ÑÑÐ±Ð¸Ð´Ð¸ÐµÐ²ÑÐ¹ ÑÑÐ°Ð½Ð´Ð°ÑÑ ÑÐ°ÑÑÐ¾ÑÑ
Ð°ÑÐ¾Ð¼Ð½ÑÐµ ÑÐ°ÑÑ
ÑÐ²ÐµÑÐ¾Ð²Ð¾Ð¹ ÑÐ´Ð²Ð¸Ð³
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Ð¾ÑÐ±Ð¸ÑÐ°
ÑÐ¿ÑÑÐ½Ð¸Ðº Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Galileo
atomic clock
light shift
ephemeris
orbit
Galileo navigation satellite
a magnetic field
superfine transition

description: ÐÐ·ÑÑÐµÐ½Ð¾ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸Ðµ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð½Ð° ÑÐ°ÑÑÐ¾ÑÑ Ð±Ð¾ÑÑÐ¾Ð²ÑÑ ÑÑÐ±Ð¸Ð´Ð¸ÐµÐ²ÑÑ Ð°ÑÐ¾Ð¼Ð½ÑÑ ÑÐ°ÑÐ¾Ð² ÑÐ¿ÑÑÐ½Ð¸ÐºÐ¾Ð²Ð¾Ð¹ Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¸ Galileo. ÐÐ¾Ð»ÑÑÐµÐ½Ñ Ð¸ÑÐ¾Ð³Ð¸ Ð¾Ð¿ÑÑÐ¾Ð² Ð¿Ð¾ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ, ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð¸Ð¼Ð¾Ð¼Ñ Ð¿Ð¾Ð»ÑÐ¼ Ð½Ð° Ð¾ÑÐ±Ð¸ÑÐµ ÑÐ¿ÑÑÐ½Ð¸ÐºÐ° Galileo Ð¸ Ð½Ð° Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÐ¸ ÐÐµÐ¼Ð»Ð¸, Ð½Ð° ÑÐ°ÑÑÐ¾ÑÑ ÑÑÐ±Ð¸Ð´Ð¸ÐµÐ²ÑÑ Ð°ÑÐ¾Ð¼Ð½ÑÑ ÑÐ°ÑÐ¾Ð². ÐÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½ Ð¼ÐµÑÐ¾Ð´ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ, ÐºÐ¾Ð³Ð´Ð° ÑÐ¿ÑÑÐ½Ð¸Ðº Ð²ÑÐ°ÑÐ°ÐµÑÑÑ Ð¿Ð¾ Ð¾ÑÐ±Ð¸ÑÐµ, Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð¼Ð¾Ð¶Ð½Ð¾ ÑÐ·Ð½Ð°ÑÑ ÑÐ´Ð²Ð¸Ð³ ÑÐ°ÑÑÐ¾ÑÑ Ð±Ð¾ÑÑÐ¾Ð²ÑÑ Ð°ÑÐ¾Ð¼Ð½ÑÑ ÑÐ°ÑÐ¾Ð² Ð¸ Ð½ÐµÑÐ¾ÑÐ½Ð¾ÑÑÑ Ð¾ÑÐ¸ÐµÐ½ÑÐ°ÑÐ¸Ð¸ ÑÑÐµÐ¼ÐµÑÐ¸Ð´. Ð Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð´Ð°Ð½Ð½ÑÑ, Ð²Ð·ÑÑÑÑ Ñ Ð´Ð¾ÑÑÑÐ¿Ð½ÑÑ ÑÐµÑÑÑÑÐ¾Ð², Ñ ÑÐ°ÑÑÐµÑÐ°Ð¼Ð¸, Ð²ÑÐ»ÐµÐ´ÑÑÐ²Ð¸Ðµ ÑÐµÐ³Ð¾, Ð²ÑÑÐ²Ð»ÐµÐ½Ð° ÑÐ²ÑÐ·Ñ Ð¾Ð±ÑÐµÐ¹ Ð¾ÑÐ¸Ð±ÐºÐ¸ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ ÑÑÐµÐ¼ÐµÑÐ¸Ð´ ÑÐ¿ÑÑÐ½Ð¸ÐºÐ° Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¸ Galileo ÑÐ¾ ÑÐ´Ð²Ð¸Ð³Ð¾Ð¼ ÑÐ°ÑÑÐ¾ÑÑ ÑÑÐ±Ð¸Ð´Ð¸ÐµÐ²ÑÑ Ð°ÑÐ¾Ð¼Ð½ÑÑ ÑÐ°ÑÐ¾Ð² Ð½Ð° Ð´Ð°Ð½Ð½Ð¾Ð¼ ÑÐ¿ÑÑÐ½Ð¸ÐºÐµ. ÐÑÐ¸ÐµÐ½ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ ÑÐ´Ð²Ð¸Ð³ Ð¿ÑÑÐ¼Ð¾ Ð¿ÑÐ¾Ð¿Ð¾ÑÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾ Ð·Ð°Ð²Ð¸ÑÐ¸Ñ Ð¾Ñ Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð½Ð° Ð¾ÑÐ±Ð¸ÑÐµ. ÐÑÐµÐ´Ð¼ÐµÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â ÑÐ°ÑÑÐ¾ÑÐ½ÑÐ¹ ÑÐ´Ð²Ð¸Ð³ Ð² Ð°ÑÐ¾Ð¼Ð½ÑÑ ÑÐ°ÑÐ°Ñ Ñ ÑÑÐ±Ð¸Ð´Ð¸ÐµÐ²ÑÐ¼ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð¼; ÐÐµÑÐ¾Ð´ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð¾ÑÐ¸ÐµÐ½ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÑÐ´Ð²Ð¸Ð³Ð° ÑÐ°ÑÑÐ¾ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐ°ÑÑÐµÑÐ° ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ.
description: The effect of the magnetic field on the frequency of the onboard rubidium atomic clock of Galileo satellite navigation was studied. The results of experiments on the effect of various variants of the laboratory magnetic field, comparable to the fields in the Galileo satellite orbit and on the Earth's plane, on the frequency of the rubidium atomic clock have been obtained. A method of mathematical modeling of the characteristics of the magnetic field when the satellite rotates in orbit is presented, with the help of which it is possible to find out the frequency shift of the onboard atomic clock and the inaccuracy of the orientation of the ephemeris. In the final qualifying work, the results of data taken from available resources were compared with calculations, as a result of which, a relationship was revealed between the general error in measuring the ephemeris of the Galileo navigation satellite with the frequency shift of the rubidium atomic clock on this satellite. The orientational shift is directly proportional to the magnitude of the magnetic field in orbit. The subject of research is the frequency shift in an atomic clock with a rubidium element; The research method is the determination of the orientational frequency shift by calculating various values of the magnetic field.