Percolation theory for scheduled transport networks
Of every 100 tonnes of cryogenic propellant dispatched from Earth toward Jupiter via relay chain, fewer than 3 arrive. This is not an insulation problem or a budget problem. It is a consequence of orbital mechanics and hydrogen thermodynamics that no relay architecture with passive cryogenic storage can overcome.
TIN computes delivery ratios for any scheduled transport network through an exact factorization: DR = ST × η. A single diagnostic, gamma, classifies networks as CLUSTER (path diversity helps) or TRAP (adding routes makes things worse). The framework screens commodity-dependent feasibility before hardware is committed. Validated across 290,000+ configurations spanning 8 planetary bodies and 5 terrestrial contact datasets.
J. Councilman is an independent researcher working on network theory for scheduled transport systems.