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Advanced inter-spacecraft offset frequency setting strategy for the Taiji program based on a two-stage optimization

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    A new algorithm optimizes offset frequency for space-based gravitational wave (GW) detection in the Taiji program. This ensures continuous data acquisition and improves detection capabilities by managing inter-spacecraft beat-note frequencies.

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    Area of Science:

    • * Astrophysics
    • * Gravitational Wave Astronomy
    • * Space Mission Design

    Background:

    • * Continuous data acquisition is essential for space-based gravitational wave (GW) detection.
    • * The Taiji program requires precise control of inter-spacecraft beat-note frequencies for successful GW source inversion.
    • * Existing methods face challenges in balancing data continuity, detection capability, and instrument limitations.

    Purpose of the Study:

    • * To develop a two-stage optimization algorithm for setting offset frequencies in the Taiji program.
    • * To maximize the duration of offset frequency settings while minimizing the upper bound of the beat-note frequency.
    • * To ensure data continuity for GW detection and enhance overall detection capabilities.

    Main Methods:

    • * A two-stage optimization algorithm was employed to determine offset frequency strategies.
    • * Considered factors include phase-locked schemes, Doppler frequency shift, and phasemeter bandwidth.
    • * Analyzed various offset frequency setting strategies to meet optimization objectives.

    Main Results:

    • * The offset frequency upper bound was reduced to 16 MHz, with frequency changes occurring nine times.
    • * Minimum and maximum offset frequency durations were found to be 90 and 713 days, respectively.
    • * Constraining Doppler shift further reduced the minimum upper bound to 14 MHz; increasing minimum duration raised the upper bound.

    Conclusions:

    • * The proposed strategy satisfies data continuity requirements for the Taiji program.
    • * It balances the difficulty of phasemeter development with enhanced detection capabilities.
    • * Provides valuable insights for phasemeter design, phase-locking schemes, and inter-spacecraft offset frequency settings.