Planetary Orbital Spacing and Semi-Major Axes Statistical Dataset

The dataset comprises planetary system alignment metrics derived from both observed planetary positions and predictions made by the GROSAU model. The GROSAU model assigns planets to discrete zones and bands based on semi-major axis spacing rules, allowing for a systematic comparison between predicted and observed orbital distances. The dataset integrates information at the planet-level, system-level, and band-level, providing a comprehensive framework for assessing model accuracy.
At the planet level, each record includes the planet’s observed semi-major axis (AU), predicted AU according to the GROSAU model, residuals (predicted minus observed), and absolute residuals. Alignment within specific margins (±0.405, ±0.809, and ±1.618 AU) is indicated by Boolean flags, allowing for evaluation of strict and loose alignment criteria.
System-level metrics are computed by aggregating planet-level data within each system. These include the total number of planets, the fraction of planets aligned within each margin, and the mean and median residuals. In addition, correlation and error statistics such as Pearson r, Spearman ρ, coefficient of determination (R²), root mean squared error (RMSE), and mean absolute error (MAE) are calculated to quantify the agreement between predicted and observed planetary positions.
At the band level, planets are assigned to predicted zones and bands, and their alignment with the model is further assessed. Residuals and absolute differences are calculated for each planet within its respective band, enabling analysis of both local and global deviations from the predicted architecture.
This dataset provides a robust framework for evaluating planetary system structure, testing the GROSAU model, and quantifying deviations between observed and predicted configurations. It is suitable for statistical analysis, visualization, and further modeling studies aimed at understanding the organization of planetary systems.