Bangladesh Lunar Mathematical Foundation (BD-LMF): An Exploratory Mathematical and Evidence-Governed Framework for Lunar Mission Research — Version 1.0

Bangladesh Lunar Mathematical Foundation (BD-LMF) — Version 1.0 This publication establishes an exploratory mathematical and evidence-governed research framework for investigating the foundations of a potential Bangladesh-led lunar mission. The research examines idealised Earth-centred orbital dynamics, illustrative X-band spacecraft communications, hypothetical navigation uncertainty, synthetic radiation bookkeeping, and scientific decision assurance. It also considers pathways for Bangladesh to acquire, develop and retain national scientific and engineering capabilities. The principal mathematical demonstrations include an idealised high-apogee transfer, a hypothetical communications link budget, and a scalar navigation covariance update. These are bounded analytical examples rather than an operational lunar mission design. Scientific contribution: The study brings established mathematical methods together within a Bangladesh-focused research framework that emphasises traceability, evidential sufficiency, uncertainty, scientific accountability and the distinction between technical capability and execution authority. Limitations: This research does not establish a verified lunar encounter, flight-qualified spacecraft design, operational navigation system, physically validated radiation-resilience model or institutionally authorised lunar programme. Evidence availability: The original executable research packages and historical verification records remain nonpublic. Consequently, source-level provenance and historical software execution cannot be independently verified from this deposit. The mathematical examples can be examined using their stated assumptions. Research methodology: Researcher-directed scientific development supported by tailored AI research tools. Scientific interpretation and responsibility remain with the author. Author: Shofi Ahmed UddinResearch role: Founder and Research Initiator — Bangladesh Lunar Mathematical FoundationAffiliation: Independent Researcher Version: 1.0 Cover artwork: AI-generated scientific illustration developed under researcher direction. The depicted orbital geometry is schematic and does not represent a validated lunar trajectory.