• Laser & Optoelectronics Progress
  • Vol. 58, Issue 21, 2112001 (2021)
Zhongke Jiao*, Dengfeng Wang, Xin Yao, Shuai Ren, Xuan Liu, Guoyong Wang, and Xingwang Zhong
Author Affiliations
  • Institute of Satellite Navigation and Inter Satellite Link Technology, China Academy of Space Technology (Xi'an), China Aerospace Science and Technology Corporation, Xi'an , Shaanxi 710100, China
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    DOI: 10.3788/LOP202158.2112001 Cite this Article Set citation alerts
    Zhongke Jiao, Dengfeng Wang, Xin Yao, Shuai Ren, Xuan Liu, Guoyong Wang, Xingwang Zhong. Error Analysis of Intersatellite Laser Interferometric Ranging System for Next Generation Low-Low Tracking Gravimetry[J]. Laser & Optoelectronics Progress, 2021, 58(21): 2112001 Copy Citation Text show less

    Abstract

    The intersatellite laser interferometric range measurement system is the core load of the next generation low-low tracking gravity measurement satellites. This system requires measurement accuracy of interstar distance change to the extent of a nanoscale. Considering this request, a laser interferometric ranging system with a corresponding answer-and-forward system is designed. The system measurement principle and frequency transmission relationship are deduced according to the system composition and the working principle. The measurement error items in the laser interferometric range measurement system are decomposed at the top-level analysis. The mathematical evaluation model is established for each error item, and numerical analysis is conducted. According to the laser interferometric range measurement system, the interstar distance change measurement accuracy greater than 7.5 nm/Hz1/2@0.1 Hz (0.1 Hz is Fourier frequency point) is finally realized, to meet the requirements of the next generation low-low tracking gravity field high-precision inversion for intersatellite laser interferometric ranging system.
    ϕt1=φ1t1-φ2t1=φ1t+Δt1-φ2t+Δt1=φ1t+Δt1-φ1t+Δt1-τTR+2πfofft+Δt1-τ21
    ϕt2=2πfofft+Δt2
    φsys=ϕt1+ϕt2=φ1t+Δt1-φ1t+Δt1-τTR-2πfofft+Δt1-τ21+2πfofft+Δt2
    φsys=φ1t+Δt1-φ1t+Δt1-τTR+2πfoffτ21-2πfoffΔt2-Δt1
    φ1t+Δt1φ¯1t+Δt1+δφ1t+Δt1=φ¯1t+2πf1Δt1+δφ1t+δf12πΔt1
    φ1t+Δt1-τTRφ¯1t+Δt1-τTR+δφ1t+Δt1-τTR=φ¯1t+2πf1Δt1-2πf1τTR+δφ1t+δf12πΔt1-δf12πτTR
    φsys=2πf1τTR+δf12πτTR+2πfoffτ21-2πfoffΔt2-Δt1
    φsys=-4π(1λ+foff2c)ρ(t)-ρ(t0)
    Lsys=-12c(2f1+foff)f1τTR+foffτ21+δf1τTR-foffΔt2-Δt1+L0=-12c(2f1+foff)f1τTR+f¯offτ211+δf1τTR2+δfoffτ213-foffΔt2-Δt14+L0
    L˜las=12δf1(2f1+foff)cτTR
    L˜time=12c(2f1+foff)foffΔt2-Δt1
    L˜off=12δfoff(2f1+foff)cτ21
    L˜RIN=λ2πP1P2NRIN
    L˜quan=λ2πhcλP
    ut=RρP1P2cos2πfofft+Δφ
    L˜QT=kTRR2ρ2P1P2
    L˜QS=2eρP1+P2RR2ρ2P1P2
    L˜QNL=λ2πδf12+δfD2ϕLF
    L˜ADC=λ2π2-B6fs
    L˜jitter=λ2πfIFtAD,jitter2+tclock,jitter2tclock,jitter=1f2ln2fσUSO
    L˜USO=cTcoh12ln2fσUSO
    L˜PLL=λ2πBLC/N0(1+12TcohC/N0)
    L˜e=1wn3d3Rdt3
    L˜len=[(n-n0)α+β]llenΔT
    L˜p=4π232θdcθjitθdiv2δ
    Zhongke Jiao, Dengfeng Wang, Xin Yao, Shuai Ren, Xuan Liu, Guoyong Wang, Xingwang Zhong. Error Analysis of Intersatellite Laser Interferometric Ranging System for Next Generation Low-Low Tracking Gravimetry[J]. Laser & Optoelectronics Progress, 2021, 58(21): 2112001
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