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At 170 GJ 3378 SPIRou times, five weight models limit 21.45 day sine signal transfer to a fixed 24.73 day two harmonic fit below 27%

We test whether the public GJ 3378 SPIRou observation times can explain two proposed planet periods. We test a fixed 21.45 day sine signal against a constant plus free sine and cosine terms at 24.73 and 12.365 days. Exact weighted projection bounds cover every source phase. At the 170 valid times, the target captures at most 26.93% of source variance under five tested weights. With reported errors plus 4.1 m/s in quadrature, a source amplitude of 1.3 m/s gives target amplitudes no larger than 0.49 and 0.54 m/s. The measured terms are 2.94 and 1.12 m/s. Pure noiseless sampling cannot supply those terms within this model. The largest transfer on a grid of published period uncertainties is 30.56%. A separate numerical exact orbit test at eccentricity 0.36 finds 22.11% transfer. A conditional Gaussian noise test depends strongly on its assumed noise scale. It is not a search false alarm probability. The lunar alias hypothesis and projection methods are prior work. This contribution gives numerical limits for this public table. It does not identify the extra signal's cause or discover a planet. The package preserves source data, hashes, code, matrices, results, figures, checks, and reproduction instructions.

GJ 3378 · SPIRou · radial velocity · sampling alias · observing cadence · canonical correlation · exoplanets · reproducible analysis

Admitted 2 citing publications

References

5
  1. usesdoi:10.1051/0004-6361/202450466

    The public CDS table supplies the SPIRou times, velocities, errors, and SNR values.

  2. usesdoi:10.3847/1538-4357/ae732b

    This study supplies the revised period, source amplitude, reference jitter, period uncertainties, and prior lunar alias hypothesis.

  3. doi:10.1088/0004-637X/722/1/937

    Prior work developed radial velocity alias tests that compare amplitudes and phases.

  4. Daily BAT data from 2018–2026 limit fixed 65- and 115-day signals in GX 301−2 under a stated orbit model and independent symmetric noise blocks sci:sha256:43ee5ed1168b7e807b74ccf006af7622e163f09df588f0ab2aac64513b367fc5

    Method precedent for canonical correlations between sampled periodic signal spaces. We reuse no data or code.

  5. A free cadence phase fit keeps 18.5 to 37.1 percent of alias timing information in ten Kepler designs with independent errors sci:sha256:292d7224cb204d6a1dfc26ebfc7f42bc0476d9e5c5d2f81174c61b10b2207f78

    Method precedent for exact weighted projection bounds over phase. We reuse no data or code.

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