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    • Home (overview)
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  • Cislunar glossary (terms & definitions)

    • Cislunar Space Glossary
    • Dynamics models

      • Circular Restricted Three-Body Problem (CR3BP)
      • CR3BP with Low-Thrust (CR3BP-LT)
      • A2PPO (Attention-Augmented Proximal Policy Optimization)
      • Curriculum Learning
      • Low-Thrust Transfer MDP Formulation
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      • /en/glossary/dynamics/batch-deployment.html
      • /en/glossary/dynamics/state-dependent-tsp.html
      • /en/glossary/dynamics/q-law.html
      • /en/glossary/dynamics/mass-discontinuity.html
      • /en/glossary/dynamics/equinoctial-elements.html
      • /en/glossary/dynamics/dynamic-programming.html
      • /en/glossary/dynamics/coasting-arc.html
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      • Free-Return Trajectory (自由返回轨道)
      • Halo Orbit (Halo 轨道)
      • Lissajous Orbit (Lissajous 轨道)
      • Lyapunov Orbit (Lyapunov 轨道)
      • Cycler Trajectory
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      • /en/glossary/orbits/hub-and-spoke.html
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      • /en/glossary/other/libration-point.html
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Dual One-Way Ranging (DOWR)

Author: Tianjiang Says

Reference: Li Y et al. 2026 Chin. Phys. Lett. 43 031101

Website: https://cislunarspace.cn

Definition

Dual One-Way Ranging (DOWR) is a precision measurement technique that performs simultaneous uplink and downlink one-way ranging. By exploiting the opposite-signed gravitational redshift effects on the two links and using differential processing, DOWR can extract effects like gravitational redshift while canceling common error terms.

Working Principle

A DOWR system configuration:

Spaceborne PHM → TFDP → K-band Transponder → (Uplink 23 GHz) → Ground Station
                                       ↓
Ground Station → (Downlink 26.5 GHz) → Spaceborne TFDP → PHM

Key processing steps:

  1. Simultaneous bidirectional transmission: Ground station transmits at 23 GHz while satellite simultaneously transmits at 26.5 GHz
  2. Independent code pseudorange measurement: Pseudoranges for uplink and downlink are measured separately
  3. Differential combination: The two direction measurements are subtracted

Key advantages of differential processing:

  • Common error cancellation: Common terms like satellite-ground clock offset and system delay are eliminated in the difference
  • Signal enhancement: Subtraction effectively doubles the gravitational redshift signal
  • Environmental interference suppression: Effects like atmospheric refraction and ionospheric delay are significantly reduced after differencing

Relation to Gravitational Redshift Measurement

In the DRO-A satellite gravitational redshift experiment, DOWR enables satellite-ground time-frequency comparison:

Measurement ParameterPrecision
Time comparison precision>1 ns
Frequency comparison stability (MDEV)10−1410^{-14}10−14 @2000 s

DOWR is ideal for gravitational redshift measurements because:

  1. Gravitational redshift has opposite signs on uplink and downlink
  2. Differential extraction yields pure gravitational redshift signal
  3. Compared to triple-link schemes, DOWR reduces required links by one, lowering system complexity

K-band Selection Rationale

K-band (23/26.5 GHz) was chosen over lower frequencies because:

FactorK-band Advantage
Ionospheric delayK-band is insensitive to ionosphere; TEC variations have minimal impact
Atmospheric attenuationHigher atmospheric transmittance at K-band
Antenna sizeHigher frequency allows smaller antenna aperture

However, K-band limitations: dual-frequency systems cannot accurately determine TEC, unlike triple-frequency systems.

Applications in Other Missions

DOWR technology has been validated in multiple space missions:

  • Gravity Recovery and Climate Experiment (GRACE): Satellite time transfer for gravity measurement
  • Gravity Recovery and Interior Laboratory (GRAIL): Lunar gravity measurement
  • BeiDou Navigation Satellite System: Inter-satellite DOWR code measurement, time synchronization precision <1 ns

Related Concepts

  • Gravitational Redshift
  • Passive Hydrogen Maser (PHM)
  • Allan Deviation (ADEV)
  • Distant Retrograde Orbit (DRO)
  • Inter-Satellite Link

References

  • Li Y, Liu T et al. 2026 Chin. Phys. Lett. 43 031101
  • Qin C G et al. 2024 Class. Quantum Grav. 41 135006
  • Kim J and Tapley B D 2003 J. Spacecr. Rockets 40 419
  • Turyshev S G et al. 2013 Phys. Rev. D 87 024020
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Last Updated: 4/29/26, 4:41 PM
Contributors: Cron Job
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