Propagate a calibrated source through orbital and radiative inferences

1. Define the integrated evidence

The original cumulative packet astro-integrated-source@1 combines measured-looking quantities only as explicitly supplied fictional evidence. It is not a real discovery, a self-consistent stellar-structure calculation or proof of a dynamically stable system. The purpose is to propagate common assumptions and identify which apparent agreements are algebraic rather than independent tests.

2. Retain mechanisms and source boundaries

Total bolometric flux is normalized so that a source at 100 pc would have luminosity one. A host has effective temperature 6000 K, equal to the radius reference. Contamination fraction c is stipulated equal in the bolometric and transit bands. Host luminosity is(1−c)(d/100)² and host radius is(d/100)sqrt(1−c). The observed full-transit depth 0.0075 gives corrected radius ratio sqrt[0.0075/(1−c)].

Multiplying the corrected ratio by the host radius gives planet radius sqrt(0.0075)(d/100). Contamination cancels only because the same fraction and fixed host effective temperature are used in both steps. Different contaminant colors, an altered temperature estimate, limb darkening or grazing geometry can break that cancellation. An invariant under a model is not proof that contamination never matters.

A separate relative binary orbit has angular semimajor axis 40 mas and period 8 yr. At distance d pc its physical axis is 0.04 d AU, and total mass is(0.04 d)³/64 solar masses. Host mass fraction 0.75 is supplied from a separate mass-ratio constraint. Distance therefore changes luminosity as d², radius as d and dynamical mass as d³. The derived host-density combination cancels distance under these shared assumptions, but still depends on contamination and orbital/radiative model validity.

Connect this packet to earlier evidence rather than manufacturing a new observing log. A sky-coordinate check establishes whether a source can be viewed from an observer, not its distance. A spectrum can constrain a temperature or reveal blending only with calibration and model assumptions. A survey-selection correction concerns populations, not the validity of this individual candidate. Each layer has a different evidentiary role.

3. Work the cumulative case

At d=100 pc and c=0.25, host luminosity is 0.75, radius sqrt(0.75)≈0.866025, corrected planet/host ratio 0.1 and planet radius≈0.0866025 reference stellar radii. The relative binary axis is 4 AU, total mass 1 solar mass and host mass 0.75. Host density is 0.75/(sqrt(0.75))³≈1.15470 in the stated reference units.

4. Predict, investigate and defend

Which quantities retain a distance dependence after orbital and radiative information are combined?

Change distance with contamination fixed, then change contamination with distance fixed. Retain every shared assumption and verify the radius and density cancellations algebraically before claiming they would survive real calibration uncertainty.

Retain original plans, written tasks and the full six-stage project in the Astronomy evidence workspace. Human critique, unfamiliar first reasoning and any claimed practical competence must be real evidence, not auto-generated completion.

Primary context. Checked31 October2026. Original cumulative packets remain separate from the explicitly identified actual published NASA/SDSS products.