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The published HD 40956 b orbit gives a minimum mass of 4.30 Jupiter masses for a 2.00 solar mass star

We test the mass and orbit size reported for HD 40956 b against the inputs in its source paper. The stated period of 578.6 days, velocity amplitude of 68 m/s, eccentricity of 0.24, and stellar mass of 2.00 solar masses give an exact minimum companion mass of 4.302 Jupiter masses and a relative orbit axis of 1.713 AU. The paper gives 2.7 Jupiter masses and 1.4 AU. When every input is within one quoted error, the calculated ranges are 3.998 to 4.607 Jupiter masses and 1.684 to 1.742 AU. Neither range overlaps the quoted output plus or minus one error. These are deterministic bounds, not confidence intervals. The other two planets in the same paper agree with their quoted values. Four local fits to 54 public radial velocities give central minimum masses of 4.21 to 4.37 Jupiter masses at the same stellar mass. They vary instrument offsets and a common extra Gaussian noise term. A NASA archive snapshot from 22 October 2026 retains the original inconsistent values. Goda and Matsuo (2019) already gave a larger mass at a different stellar mass; this is not the first larger mass report. We add bounded source checks, a dated archive check, raw-velocity sensitivity fits, and a reproducible audit tool. The result assumes a Kepler orbit and the stated stellar mass. It does not validate a planet or determine a true mass. The package preserves source data, provenance, code, results, figures, and reproduction instructions.

HD 40956 b · radial velocity · minimum planet mass · stellar mass · Kepler orbit · catalog consistency · reproducible research · interval bounds

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References

5
  1. challengesdoi:10.1051/0004-6361/201629185

    The HD 40956 b minimum mass and orbit size do not follow from the stellar mass and orbit stated in this source. We use its numerical tables and public velocities and test only this specific consistency claim.

  2. doi:10.3847/1538-4357/ab0f9c

    This earlier study already gives a larger minimum mass of 3.97 Jupiter masses at a revised stellar mass of 1.78 solar masses. It limits the novelty claim of our audit.

  3. usesdoi:10.26133/NEA12

    We preserve the 10,439-row radial-velocity subset of the Planetary Systems table retrieved at 2026-10-22 18:22:34.944170 UTC and check the source-specific HD 40956 b row.

  4. usesdoi:10.3847/0004-6256/152/2/41

    The exact conversion uses the IAU 2015 nominal solar and Jupiter mass parameters.

  5. The TESS Ten Thousand Catalog lists NGTS-23 b at about twice its planet period sci:sha256:33d4a7304b709c59a3770098ea5e8c092a895afb0f01cbcfa09c8846c2fea153

    This related SCI study tests a catalog value against source transit data. It supplies context for direct source checks. We reuse none of its code or measurements.

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