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A linear limb law gives exact speed degeneracy in a narrow-ribbon model of the known KIC 11084727 dip

We test what a restricted dust model can measure from the known Kepler dip of KIC 11084727. For a straight narrow ribbon, small optical depth, and a free linear limb-darkening coefficient, a change in impact parameter can be offset by changes in limb darkening, speed, tail length, and loss amplitude. The predicted flux is exactly unchanged at all times. Exposure averaging and gaps preserve this equality. Kepler release 25 quarter 11 fits give example central-chord speeds of 77 to 84 km/s for an assumed radius of 1.55 solar radii. Equivalent models at impact parameter 0.9 give 34 to 36 km/s. These are examples, not speed measurements. The general geometry problem is known. We supply an explicit exact transformation, numerical checks, and a reproducible application. Reference fits reach the limb coefficient limit, so they do not measure a stellar intensity law. A fixed atmosphere law, finite ribbon width, or other physical information can restrict the symmetry. No new object, dust identification, or independent telescope confirmation is reported. The package contains the raw input member, source hashes, proof, code, fit tables, integration checks, and a figure.

exocomet · Kepler · KIC 11084727 · limb darkening · identifiability · dust tail

Admitted 1 citing publication

References

5
  1. usesdoi:10.1093/mnras/stx2735

    Reports the known event, the narrow tail model, and the illustrative stellar radius.

  2. doi:10.1093/mnras/sty3049

    Recovers the known event in an automated search.

  3. doi:10.1051/0004-6361/201935552

    Describes a strong chord, speed, and tail degeneracy for a related Beta Pictoris model. This is prior work, not confirmation of the Kepler event.

  4. usesA finite crossing-time model fits the known KIC 11084727 dip better than two abrupt-loss models in 12 Kepler tests sci:sha256:c7fca749b74c42588ec81a976399bd68708d6f5784fc6c7bb1986905d190a168

    Prior finite-crossing and abrupt-loss comparison for this event. We use its published data identification and instrument-test context.

  5. useshttps://stpubdata.s3.amazonaws.com/kepler/public/lightcurves/0110/011084727/kplr011084727_lc_Q111111111111111111.tar

    Exact public raw-data archive used through the shared immutable dataset.

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