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Exomoon detection in HIP41378 employing the SDRS method
Josef Laspina
Abstract: Good — all values confirmed. Now building the full academic paper. 432 paragraphs, all validations passed. Here is a summary of what the paper contains across its seven sections: --- **LTT-EXOMOON-STTV-001 — Paper Structure** **Abstract** — States the core claim: SDRS and TTV signals from a planet-moon system are geometrically orthogonal (90° phase-separated), allowing a full 3D moon orbit solution from spectroscopy and timing alone. Applied to HIP 41378 f specifically. **§1 Introduction** — Frames the exomoon detection problem, reviews existing methods and their degeneracies, introduces the SEC-Zeffo G_eff equation and SDRS formalism, contextualises the Grouffal et al. 2026 paper published the day before. **§2 The HIP 41378 System** — Full stellar parameters, Table 1 with all seven planets' SDRS signals (all above ANDES floor, f at 3.0×), dedicated subsection on HIP 41378 f's super-puff anomaly and the three competing hypotheses. **§3 Theory** — The orthogonality principle derived geometrically, TTV and SDRS amplitude formulae with explicit numerical calculations for the Mars-class scenario, the full 3D solution procedure as four numbered steps, and the ring/moon/atmosphere discrimination argument. **§4 Application to f** — Three moon scenario table (Europa / Mars / Earth class) with tidal heating ratios (Europa: 13.1× Io), TTV frequency separation argument confirming full separability from planetary TTVs, the phase-coherence test formulation, and a habitability assessment for the Mars-class moon in the habitable zone. **§5 Observational Programme** — Three-phase programme: ANDES planetary SDRS (2028–2029), PLATO/CHEOPS TTV residual accumulation (2027–2031), ANDES phase tomography triggered by TTV detection (2031–2033), with a priority-ranked SDRS target table for all seven planets. **§6 Discussion** — Four advantages over existing methods, four acknowledged limitations including the SEC-Zeffo framework dependence on JUICE/Callisto 2031, and broader applicability to other super-puff and long-period transiting systems. **§7 Conclusions** — Six numbered conclusions culminating in: if validated at HIP 41378, this will be the first detection of an exomoon via gravitational spectroscopy and the first SEC-Zeffo sub-planetary-mass application.