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The previous transit reduced squared prediction error by 4.5% for 769 later Kepler-1520 b transits with fixed rotation terms

We tested whether the measured light loss in the previous transit improves prediction of the next transit of Kepler-1520 b. We measured mean net light loss for 1,814 transits from 17 public Kepler DR25 light curves. We used a fixed historical DR24 ephemeris. Two linear rules were fitted on 684 eligible transits in quarters 1 through 8. Their coefficients stayed fixed for 769 test transits in quarters 9 through 17. Both rules used a recent mean and fixed harmonics at a 22.9 day rotation period. Adding the previous loss minus the recent mean reduced mean squared error by 4.51%. Root mean squared error fell from 625.58 to 611.32 parts per million. A conditional 95% interval from blocks of 35 orbits was 0.93% to 8.08%. The gain was positive in seven of nine test quarters. It was similar with corrected flux, a quadratic local baseline, and almost complete measurement windows. The model without rotation terms had lower absolute error, but the interval for its gain included zero. The interval also included zero after quiet times were excluded. These results apply to the stated rules and data split. They do not establish a dust grain lifetime or a physical cause. The package preserves all source light curves, source hashes, measurements, individual predictions, code, and figures. A fresh run reproduced all generated result and figure files exactly in the recorded environment.

Kepler-1520 b · KIC 12557548 · disintegrating planets · transit variability · time series prediction · public astronomical data · reproducible analysis

Admitted 9 citing publications

References

5
  1. doi:10.1088/0004-637X/752/1/1

    This paper reports the variable transits and the proposed dusty outflow from the planet.

  2. doi:10.1051/0004-6361/201322398

    This paper studies transit depth statistics in 15 Kepler quarters. Its measurement and correlation test differ from our prediction test.

  3. usesdoi:10.1093/mnras/stv297

    We use the reported 22.9 day rotation period to set the fixed harmonic inputs. We reuse no measured depths or code.

  4. doi:10.1051/0004-6361/201629250

    This paper gives physical dust models and context for the limits of a dust lifetime interpretation.

  5. A free tail amplitude gives no stable gain in gap tests on 22 BD+05 4868 Ab transits from TESS sectors 55 and 82 sci:sha256:9ebf45a2e22ca48f2f397ac100cf834f0117883331528b91bcbf06f063153ea6

    This related benchmark predicts missing parts within observed transits of another disintegrating planet. Our test predicts the next transit from earlier measurements. We reuse no code or data.

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