From Keplerian Swarms to Radiatively Supported Bubbles: A Low-Beta Continuum Framework for Dyson Architectures

Abstract: Conventional Dyson swarms inherit a topology problem because Keplerian orbital planes at a common heliocentric radius inevitably intersect, whereas fully radiatively supported statite or bubble concepts avoid those intersections only at severe areal-density cost. We therefore argue that Dyson architectures are better understood as a continuous support-and-stratification spectrum between those limits. Using established solar-sail displaced non-Keplerian orbit (DNKO) theory, rather than proposing a new orbit family, we make that continuum explicit and then develop its low-latitude displaced branch as an analytic architecture regime for layered Dyson-swarm design. In this Micro-Displaced Dyson Swarm (MDDS) regime, collectors remain primarily orbital while solar-radiation pressure maintains small out-of-plane displacements that create stratified latitude bands. For an ideal specular sail, this yields the closed-form support curve _ () =332 and equivalent areal-density limit _ () =2^*33. This converts the architecture question into a simple screening criterion: a system is supportable at latitude if ₒₘₒ < _ (). The same framework yields a payload-optimized branch and a synchronization-constrained branch. We do not claim a complete Dyson-engineering realization, nor a new foundation for solar-sail orbit theory; our narrower contribution is to articulate a Dyson support continuum and derive an analytic criterion for one concrete low- displaced branch of it. Representative Sun-Earth examples at _, 0. 1^, 0. 5^, and 1^ show a non-empty low-latitude window well below the full statite/bubble limit, although the allowable mass margin narrows rapidly with latitude. The result is a theory-grounded architectural framework that identifies an idealized low-latitude operating regime for further study.