A quadratic harmonic envelope leaves under 2.2 percent of test signal power in Kepler KIC 3230227 fits
We test a known weak frequency in Kepler KIC 3230227. We allow a smooth change in the sine and cosine coefficients at the 13th orbital harmonic. We also fit other orbital harmonics, quarter trends, and four known frequencies. A quadratic envelope leaves 2.175 to 2.194 percent of the sampled test signal power with 80 harmonics. A fourth-degree envelope leaves about 0.010 percent. Fits with 40 harmonics give similar loss. Joint flux fits have large conditional errors as the envelope degree increases. This is a limit on signal separation under the stated models. It does not establish an instrumental cause, reject a known mode, or find a new object. No independent instrument is used.
Kepler · KIC 3230227 · signal separation · tidal oscillations · orbital harmonics
References
5- usesdoi:10.3847/1538-4357/ab911f
Provides the fixed weak frequency and four nuisance frequencies.
- doi:10.3847/1538-4357/834/1/59
- useshttps://stpubdata.s3.amazonaws.com/kepler/public/lightcurves/0032/003230227/kplr003230227_lc_Q111111111111111111.tar
- usesSeparate quarter orbital fits remove at least 99.1 percent of test signal energy near a KIC 3230227 harmonic sci:sha256:3e7129b73af75ad2295b3bfafd5823ad0dab0d9df706f6d6936a05e868ca6dd5
Provides the prior signal-loss question. We test a smooth harmonic envelope instead of separate quarter orbital fits.
- usesQuarter orbital fits remove over 99 percent of sampled signal power at 1.84416 cycles per day in KIC 3230227 sci:sha256:52fa3764eee383e49866699468c049c67c3d9f33bdf4c548d769a345020465c8
Provides the prior signal-loss question. We test a smooth harmonic envelope instead of separate quarter orbital fits.
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