R.K. Lozov – Engineer, 

Higher School of Applied Physics and Space Technologies of Peter The Great St. Petersburg Polytechnic University E-mail: Lozov-RK@ya.ru

S.V. Ermak – Dr.Sc.(Phys.-Math.), Associate Professor, 

Higher School of Applied Physics and Space Technologies of Peter The Great St. Petersburg Polytechnic University E-mail: serge_ermak@mail.ru

V.V. Semenov – Dr.Sc.(Phys.-Math.), Leading Engineer, 

Higher School of Applied Physics and Space Technologies of Peter The Great St. Petersburg Polytechnic University E-mail: Vladimir_semenov@mail.ru

O.V. Ermak – Ph.D.(Eng.), Associate Professor, 

Institute of Civil Engineering of Peter The Great St. Petersburg Polytechnic University E-mail: ermak_olgavalentinovna@mail.ru

The paper presents the model experiment results with a rubidium quantum frequency standard (QFS), which placed in an external magnetic field, that a slowly varied magnitude and direction. This magnetic field simulates the changes dynamics of the geomagnetic field on the satellite’s orbit. The experiments were carried out under conditions of controlling the QFS frequency. QFS was placed in a system of three orthogonally oriented Helmholtz coils designed to compensate the geomagnetic field and create a variable ultra-low frequency magnetic field. The frequency of the QFS (volume 75×75×35 mm) was measured with a CNT-85R counter, it has an integrated rubidium frequency standard with relative frequency instability ~10−13 per 100 seconds.

The results of the calculated values of the orientational frequency shift components associated with the light shift and the field quadratic dependence of the QFS frequency are presented. It is shown that magnitude and direction variations of the geomagnetic field on the navigation systems satellites orbit significantly (~ 10 times) worsen long-term stability (1000 seconds of averaging) and therefore worsen the coordinates measurements accuracy of the carrier. In this case, a strong influence of the magnetic shielding quality on the QFS orientational error is noted. The possibility of using anti-relaxation coatings for QFS absorption cells of the navigation satellite systems onboard equipment is discussed.

1. Popov E.N. i dr. Osobennosti magnitnogo rezonansa atomov shchelochnogo metalla v usloviyakh bigarmonicheskoi nakachki. Zhurnal eksperimentalnoi i teoreticheskoi fiziki. 2017. T. 152. № 6. S. 1179−1191. (in Russian)
2. Popov E.N. i dr. Osobennosti formirovaniya spinovoi polyarizatsii shchelochnogo metalla pri razreshenii sverkhtonkikh podurovnei v 2S1/2 sostoyanii. Pisma v Zhurnal eksperimentalnoi i teoreticheskoi fiziki. 2018. T. 108. № 8. S. 543−548. (in Russian)
3. Velichko E. et al. Information risk analysis for logistics systems. Internet of Things, Smart Spaces, and Next Generation Networks and Systems (Springer). 2016. S. 776−785.
4. Kurshin A.V. Povyshenie tochnosti opredeleniya mestopolozheniya potrebitelei GLONASS putem uvelicheniya chastoty zakladok vremennoi informatsii na sputniki. Trudy MAI (elektronnyi zhurnal). 2012. № 57. S. 1−7. (in Russian)
5. Donley E.A. et al. Demonstration of high-performance compact magnetic shields for chip-scale atomic devices. Review of Scientific Instruments. 2007. T. 78. № 8. S. 083102.
6. Pikhtelev A.I., Ulyanov A.A., Fateev B.P. Standarty chastoty i vremeni na osnove kvantovykh generatorov i diskriminatorov. M.: Sov. radio. 1978. 304 s. (in Russian)
7. Baranov A.A., Ermak S.V., Semenov V.V. Orientatsionnye sdvigi chastoty SVCh rezonansa na sverkhtonkom 0-0 perekhode v parakh rubidiya-87 s selektivnoi opticheskoi nakachkoi. Optika i spektroskopiya. 2013. № 114. S. 18−21. (in Russian)
8. Baranov A.A., Ermak S.V., Lozov R.K., Semenov V.V., Ermak O.V. Vliyanie orientatsionnogo sdviga chastoty kvantovogo datchika s opticheskoi nakachkoi na izmereniya parametrov orbity sputnikov navigatsionnykh sistem. Radiotekhnika. 2018. № 12. S. 5−12. (in Russian)
9. Lozov R.K. Comparison of the atomic clock orientational error in on-board equipment of Galileo, GPS and BeiDou satellite systems. Journal of Physics: Conference Series (IOP Publishing). 2019. T. 1326. № 1. S. 012036.
10. Lozov R.K. et al. Comparison of orientational error of an optically pumped quantum sensor in on-board equipment of Galileo and GPS satellite systems. Journal of Physics: Conference Series (IOP Publishing). 2019. T. 1236. № 1. S. 012077.
11. Rile F. Standarty chastoty: Printsipy i prilozheniya. Per. N.N. Kolachevskogo. M.: FIZMATLIT. 2009. 512 s. (in Russian)
12. Baranov A.A., Ermak S.V., Sagitov E.A., Smolin R.V., Semenov V.V. O kompensatsii svetovogo sdviga chastoty radioopticheskogo SVCh rezonansa v opticheski orientirovannykh shchelochnykh atomakh s lazernoi nakachkoi. Zhurnal eksperimentalnoi i teoreticheskoi fiziki. 2015. T. 148. № 3. S. 453−465. (in Russian)