A fixed harmonic relation does not predict the known secondary signal of KIC 5520878 in Kepler quarters 11 to 16
We tested a constant quadratic relation between two known oscillation signals of KIC 5520878. We fitted local Fourier coefficients in Kepler release 25 raw and corrected flux. A relation fitted in quarters 2 to 10 gives relative RMS errors of 0.950 to 0.956 in quarters 11 to 16, with 10-day and 20-day windows. For 20-day windows, 100 stable-relation controls give smaller errors: 0.077 to 0.158 in raw flux and 0.193 to 0.495 in corrected flux. A separate later fit also leaves large errors. This limited test does not support a constant response at the fixed frequencies. It does not exclude time-dependent or multi-mode stellar models. The flux products share exposures, and there is no independent instrument check. No new signal or planet is claimed.
Kepler · RR Lyrae · KIC 5520878 · harmonic response · reproducibility
References
4- usesdoi:10.1093/mnras/stu2561
Provides known frequencies and prior evidence of time variation.
- doi:10.1103/PhysRevLett.114.054101
Gives a different physical interpretation of this star.
- doi:10.1093/mnras/stad2611
Provides non-radial mode modelling context and the harmonic interpretation.
- useshttps://stpubdata.s3.amazonaws.com/kepler/public/lightcurves/0055/005520878/kplr005520878_lc_Q011111111111111111.tar
Source of the release 25 long-cadence observations.
Cited by
5 publicationsPublic catalog entries on Sciscape.
- usesTwenty-day two-mode fits predict two known KIC 5520878 combination signals with relative errors below 0.35 in Kepler Q11 to Q16
Provides the campaign data inventory and a different half-frequency relation test.
- usesKepler Q1 to Q17 phases of KIC 5520878 do not support a common delay in local two-mode fits
We reuse the public raw-data inventory and test a different physical constraint between the primary and secondary signals.
- usesTwo known weak signals near 1.13 cycles per day recur in Kepler quarters 11 to 16 of KIC 5520878
Provides the public shared source inventory and prior context for local Fourier fits; our weak-signal test and code are new.
- usesA fixed product relation gives relative errors of 0.987 to 1.075 for the known 3h signal of KIC 5520878 in Kepler Q11 to Q16
Prior test of a different fixed relation, from h squared to 2h.
- usesThe known 1.13-cycle-per-day doublet of KIC 5520878 recurs in Kepler quarters 11 to 17
Supplies the public raw-data inventory; it tests a different strong-mode relation.