Four-Dimensional Fractal Trajectory Dataset v3.0

This dataset v3.0 supports the novel process fractal geometric modeling of the Earth–Moon–Sun system’s compound helical motion through 4D spacetime. It includes time-indexed Cartesian coordinates for Earth, Moon, and Sun positions, barycentric calculations, helical radius estimates, and local derived fractal dimensionality features. The data were generated using NASA’s Planck and WMAP missions for multipole alignment and cosmological model integration, and by the Sloan Digital Sky Survey (SDSS) for galactic-scale velocity curve data. This dataset supports and cites the published paper, “A Four-Dimensional Fractal: The Earth–Moon–Sun orbital path of nested motion through the Milky Way Galaxy v3.0” (DOI: 10.5281/zenodo.16934990, https://doi.org/10.5281/zenodo.16934990). This release is part of the emerging discipline of Fractalogy: a proposed framework for nested process fractal motion modeling in curved spacetime with a fractal dimensionality exceeding 3.0.