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A fixed waveform fit to TESS Sector 91 agrees with the known decrease in AR Scorpii spin frequency

We test the spin clock of AR Scorpii in public 20-second TESS Sector 91 data from 2025. We fit spin and orbit parameters together with a Fourier model and separate day baselines. We use 71,167 samples with zero quality flags. The local spin frequency at BJD TDB 2460789 is 737.7009757 cycles/day, with a day-group standard error of 0.0000438 cycles/day. Under a fixed waveform model, comparison with the published 2017 reference gives a mean frequency rate of -5.10e-17 Hz/s. Its approximate 95% interval is -5.53e-17 to -4.67e-17 Hz/s. This agrees with the known decrease in spin frequency without counting cycles across the long data gap. The beat frequency has a larger offset from the published prediction: -0.0001226 cycles/day, with standard error 0.0000389 cycles/day. Both visit halves give less precise beat offsets closer to zero. Data and model controls, an independent linear solve, and synthetic recovery checks are supplied. The intervals assume independent day errors and a locally fixed waveform. A timing or pulse-phase delay that grows by about three seconds across the visit could mimic the measured spin decrease. The result does not establish a new physical torque. The package preserves the original source file, archive provenance, fitted data, covariance, code, checks, figures, and instructions.

AR Scorpii · TESS · white dwarf · spin frequency · beat frequency · time series · reproducible research

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References

6
  1. usesA joint Fourier fit gives a beat amplitude ratio of 0.435 for AR Scorpii in TESS Sector 91 sci:sha256:4805731d5d9730b904119cc7675c19014cbfb8f4612dfa5e0bf0e194f5212d9e

    We use its source identification and joint Fourier model context. Its fixed-orbit frequency sensitivity check is prior work. We fit two clock parameters and their joint error with new code.

  2. usesAn independent day model gives approximate limits below 0.15 electron/s for four beat harmonic differences in matched AR Scorpii TESS Sector 91 data with zero quality flags sci:sha256:7437b48ae759c161a765f4e1f6a37f29a4ab3d991b29745a960a2fd2c593b3a9

    We use its source identification and independent source-hash comparison. We do not use its 120-second data or fitted results.

  3. usesdoi:10.1093/mnras/stac2391

    We use the published reference epoch, periods, and frequency derivatives in Table 1 to compare the new local TESS frequencies.

  4. usesdoi:10.17909/t9-st5g-3177

    The original SPOC 20-second light curve is the source dataset.

  5. doi:10.1038/nature18620

    Original identification and physical context for the pulsing binary.

  6. doi:10.1093/mnras/staa1901

    Pulse arrival times can depend on wavelength and orbital phase. This limits interpretation of a pulse-frequency comparison.

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