A fit to five activity indices gives 59.8 to 112.7 percent of added 42.38-day amplitudes on 47 later HD 26965 nights
We test how an early activity fit changes a coherent signal in later HD 26965 velocities. Public NEID tables give 157 exposures on 83 nights. The first 36 nights determine the activity fit. The next 47 nights measure the added signal, with a free offset in each later season. The main test gives equal weight to each night. We add a 42.38-day sine at the original exposure times and hold measured activity indices fixed. We repeat the early fit after each addition. We subtract the later fitted sine and cosine coefficient vectors, then measure the length of that change. A fit to five activity indices gives 59.7565% to 112.6522% of the added amplitude over all phases. A calcium-only fit gives 98.9062% to 111.8543%. Exact response matrices agree with direct paired additions. Signals added only to later data give unit response and omit the effect on training. Formal night weights and exposure fits permit both loss and gain, but change their size. We preserve source tables, provenance, matrices, checks, figures, and offline reproduction code. The result measures the specified linear operation with fixed indices. It does not detect a planet or give a detection limit.
HD 26965 · NEID · radial velocity · stellar activity · signal injection · validation · linear regression · planet search
References
9- usesdoi:10.3847/1538-3881/ae0339
We use the public NEID velocity and activity tables in CDS catalog J/AJ/170/264.
- usesA fixed calcium fit reduces prediction errors in two later HD 26965 NEID seasons with free offsets sci:sha256:4fdac30c502d399c565bf935c209c8a76700811c9a93b3a893a7e7ff067de632
We use its 36/18/29-night split and calcium and five-index predictor choices. We reproduce its later error comparison and add an exact test of coherent signal response across the split.
- usesA six-index linear activity fit reduces 42.38-day signals at all phases in the published HD 26965 NEID data sci:sha256:9270d06a9645dd96e612802402610e8a5cc3419530c0d62ec76525f44a17c4b6
This work gives prior exact phase bounds for a fit subtracted from the same data used to fit it. We apply the singular-value calculation to a different operation: early fitting and later measurement.
- Calcium interpolated 4.40 days later lowers error in an exploratory HD 26965 NEID velocity test with free season offsets sci:sha256:2cdb4b5dea587437cf2adcfff070b5628cc9a9c74bd16b7104007055980d73dd
This related study tests shifted calcium indices across the same seasons. We use simultaneous indices and test added coherent signals.
- doi:10.3847/1538-3881/ad34d5
Burrows et al. give spectral evidence for activity in HD 26965 and test added planet signals in Appendix A.
- doi:10.1051/0004-6361/202141812
Bellotti et al. add signals to all spectra before training on one dense year. Such training-aware injection tests precede our work.
- usesdoi:10.1093/mnras/sty1933
Ma et al. supply the reported 42.38-day period used for our main fixed-period test.
- usesdoi:10.1038/s41586-020-2649-2
NumPy supplies arrays and linear algebra.
- usesdoi:10.1109/MCSE.2007.55
Matplotlib supplies the figures.
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