Orbital Calculator
Enter any year to compute all Holistic Universe Model predictions. Negative years represent BCE dates; decimal values are accepted (e.g., 2000,5 for mid-year — non-half values snap to the nearest 0.5 on blur). Use the arrow keys to step by 1 year (preserving the half-year offset). All calculations run instantly in your browser.
The calculator has two modes, selectable from the tabs at the top:
- Single Year — computes every output below for one specific year. When the year input rounds to 2000, a “J2000 reference values shown” badge appears and the orbital-elements and time-period tables display a side-by-side Model | J2000 Reference column for direct comparison against published IAU/NASA values.
- Batch Export — generates a CSV file covering a year range with configurable from/to/step values. Choose one of four datasets (Earth orbital elements, Earth time periods, all-planet perihelion precession, or all-planet orbital elements) and click Download CSV.
These values are computed by the published @essrt/physics package — the same code the 3D simulation runs. Earth’s clock-and-spin values use the model’s closed-form laws documented on the Formulas page; the planets’ orbital elements — perihelion longitudes, precession rates, eccentricities, and the invariable-plane inclinations and nodes — come from the model’s own N-body element chain (engine-extracted anchors, secular modes and derived periodic terms in a governed artifact), with each planet’s relativistic share carried as a derived first-order post-Newtonian term. Invariable-plane values use the engine’s own plane (pole from the system’s total angular momentum; node origin: ecliptic-X projected into the plane). The source code is available on GitHub .
Output Reference (Single Year mode)
| Section | Description |
|---|---|
| Earth — Orbital Elements | Perihelion longitude, obliquity, eccentricity, inclination to invariable plane |
| Earth — Time Periods | Solar, sidereal, and anomalistic years (in days and SI seconds); solar day (LOD), sidereal day, stellar day; Earth semi-major axis (1 AU); Moon mean distance; Moon sidereal month; Earth Fundamental Cycle H — all evolved per epoch under deep-time (Driver 1: tidal recession, Driver 2: solar mass loss) |
| Earth — Cardinal Points | For each cardinal point (Vernal Equinox, Summer Solstice, Autumnal Equinox, Winter Solstice): date, Julian Day, RA (degrees), and year length (days) |
| Earth — Precession Periods | Axial, perihelion, and apsidal precession periods |
| All Planets — Perihelion Precession | Perihelion longitude of date, window precession rate of date (signed — Saturn reads retrograde in the current era), and the derived relativistic share for all 8 planets |
| All Planets — Orbital Elements | Invariable-plane ascending node and inclination (the chain’s elements of date on the engine’s own plane) and eccentricity for all 8 planets |
For the mathematical derivations behind each formula, see Formulas.