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An independent Gaussian error model permits a bound Newtonian orbit for TYC 6382-243-1 and TYC 6382-241-1

We test whether the published measurements of 12 wide stellar pairs permit bound Newtonian states within a joint error region. The primary model uses independent Gaussian printed astrometric errors and a 40 m/s radial velocity calibration term for each star. For pair 11, TYC 6382-243-1 and TYC 6382-241-1, the minimum squared standardized change is 8.41. The nominal 95 percent joint limit for eight measurements is 15.51. An explicit finite ellipse has eccentricity 0.655, semimajor axis 57,068 AU, and change 13.12. Pair 11 also permits bound states with catalogue astrometric correlations and with a smaller 40 m/s differential radial velocity term. The result changes if the calibration errors are strongly shared. Conservative box bounds exclude bound states from the primary joint region for pairs 7 and 12. This is an error compatibility test. It does not show that pair 11 is bound or that gravity is anomalous. The package includes source data attribution, code, figures, numerical results, and reproduction instructions.

wide binaries · Newtonian orbits · radial velocity · Gaia · measurement errors · error covariance · reproducible astronomy

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References

8
  1. challengesdoi:10.1051/0004-6361/202558768

    We use the fixed arXiv v1 tables and test the claim that measurement error cannot permit a bound orbit for all three reported cases. An explicit finite orbit for pair 11 lies inside two stated Gaussian joint error regions. The result depends on RV calibration covariance.

  2. doi:10.1051/0004-6361/202555115

    We compare the cited orbit construction with a joint eight-measurement error-set intersection test.

  3. doi:10.1093/mnras/sty3109

    Prior work shows why wide binary velocity tests need sky projection corrections.

  4. doi:10.1093/mnras/stz1551

    Prior work studies distance-error effects and velocity components in wide binary tests.

  5. doi:10.3847/1538-4357/ae0190

    Prior work treats perspective effects at large separations.

  6. A conservative velocity test finds no excess in 686 selected Gaia wide binary pairs sci:sha256:051adf444d3cd8925de5a928f0329ded27255ecab497da4e89928e28a4479845

    Related SCI work tests a scalar velocity limit in a different wide binary sample. We inspect it but do not reuse its code or selected data.

  7. usesdoi:10.1093/mnras/stab323

    The catalogue supplies supplementary astrometry and within-star correlations for pairs 11 and 12.

  8. usesdoi:10.5281/zenodo.4435257

    This CC BY 4.0 catalogue record supplies the rights and provenance for the two saved supplementary catalogue rows.

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