Observer Registered Keplerian Closure and Multi Altitude Scaling
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This report combines the separately frozen results of KPR-01 and KPR-02, two tests of conventional Keplerian organisation and transfer in observer-derived satellite records. KPR-01 evaluated eccentric-orbit closure and held-out transfer using ESA Galileo orbit and clock products together with ILRS optical laser-ranging observations. Its geometry and spacecraft-transfer gates passed. The optical comparison remained limited because the published residual summary could not reproduce the preregistered shuffle control, while the public clock channel was classified as dependent on the same ESA/NAPEOS solution family as the orbit product. KPR-02 tested a prospectively frozen period–geometry scaling architecture across four satellite-altitude bands and four held-out twin targets using NSGF SLR-derived orbit products. The development estimate was p̂ = 2.000614905; the fixed p = 2 comparator ranked first among the complete predeclared p = 0–4 family; and its frozen amplitude transferred to all four held-out targets with a median absolute period error of 0.0184% and a maximum error of 0.0526%. The frozen alternate-analysis-centre control could not be completed because the required Etalon records lacked common-epoch coverage. Together, the studies support reproducible conventional Keplerian correspondence and held-out transfer within the tested observer-derived products. They do not independently derive or measure the raw inverse-square force law, establish q_inv = 2 → p = 2, identify observer-level geometry as foundational Phase, establish Phase Theory as a physical ontology. The accompanying reproducibility package preserves both original frozen executions, reports, audit workbooks, source inventories, validation scripts and SHA-256 manifests.Keywords: Keplerian closure; Kepler’s third law; orbital scaling; satellite laser ranging; SLR; GNSS; Galileo satellites; eccentric orbit; multi-altitude transfer; held-out validation; observer registration; observer-derived geometry; period–semimajor-axis relation; inverse-square comparator; frozen analysis; preregistration; reproducibility; dependency audit; circularity control; Phase Theory



