A Gaussian phase test gives 31 to 99 percent harmonic detection power for 4 m/s GJ 176 orbits at eccentricity 0.8

We test the phase dependence of a prior GJ 176 harmonic search with 115 public HARPS sampling times and reported errors. Exact 4 m/s orbits are projected through the fixed circular and seasonal rotation models. With independent Gaussian errors and an added 2 m/s scale, a two-coefficient harmonic test has detection probability 0.308 to 0.989 over a 96 by 96 phase grid at eccentricity 0.8. Only 62.6 percent of grid points have power at least 0.8. At eccentricity 0.148, power is 0.301 to 0.345. The harmonic captures a median 39.8 percent of the residual orbit energy at eccentricity 0.8. A finer grid and direct Gaussian trials check the result. This is a conditional method result, not a new planet or an eccentricity limit. Fixed period, fixed amplitude, unknown noise covariance, shared spectra and no new independent measurements limit the result. Code, aggregate evidence, figures and external retrieval steps are included. The external database is excluded.

astronomy · GJ 176 · HARPS · eccentricity · detection power · phase coverage · harmonic test