1. Formulation of geopotential difference determination using optical-atomic clocks onboard satellites and on ground based on Doppler cancellation system
- Author
-
Wenbin Shen, Ziyu Shen, and Shuangxi Zhang
- Subjects
Physics ,Geopotential ,010504 meteorology & atmospheric sciences ,010502 geochemistry & geophysics ,Geodesy ,01 natural sciences ,Instability ,Signal ,Atomic clock ,Gravitation ,symbols.namesake ,Geophysics ,Geochemistry and Petrology ,symbols ,Satellite ,Doppler effect ,Microwave ,0105 earth and related environmental sciences ,Remote sensing - Abstract
In this study, we propose an approach for determining the geopotential difference using high-frequency-stability microwave links between satellite and ground station based on Doppler cancellation system. Suppose a satellite and a ground station are equipped with precise optical-atomic clocks (OACs) and oscillators. The ground oscillator emits a signal with frequency f a towards the satellite and the satellite receiver (connected with the satellite oscillator) receives this signal with frequency f b which contains the gravitational frequency shift effect and other signals and noises. After receiving this signal, the satellite oscillator transmits and emits, respectively, two signals with frequencies f b and f c towards the ground station. Via Doppler cancellation technique, the geopotential difference between the satellite and the ground station can be determined based on gravitational frequency shift equation by a combination of these three frequencies. For arbitrary two stations on ground, based on similar procedures as described above, we may determine the geopotential difference between these two stations via a satellite. Our analysis shows that the accuracy can reach 1 m 2 s − 2 based on the clocks’ inaccuracy of about 10 −17 (s s −1 ) level. Since OACs with instability around 10 −18 in several hours and inaccuracy around 10 −18 level have been generated in laboratory, the proposed approach may have prospective applications in geoscience, and especially, based on this approach a unified world height system could be realized with one-centimetre level accuracy in the near future.
- Published
- 2016