Analysis & Export Tools

The 3D Simulation includes powerful tools for generating reports, exporting data, and validating measurements against IAU reference values.

Launch the 3D Simulation → 

Location in the UI

Analysis tools are spread across two Tweakpane folders:

Reports
├── Planet Positions & Orbits    (export RA/Dec, distances at specific Julian dates)
├── Solstices & Equinoxes        (export solstice/equinox dates with RA and obliquity)
└── Year Length Analysis         (export tropical, anomalistic, sidereal year lengths)

Tools
├── Planet Inspector             (interactive 5-step orbital hierarchy modal)
├── Eccentricity Balance Scale   (Law 5 balance visualization per planet)
├── Invariable Plane Inspector   (Fibonacci d-value and phase group balance explorer)
├── Solar System Resonance Cycle        (8H integer divisor table for all planets × 6 cycles)
├── WebGeoCalc Explorer          (observed perihelion-precession history per planet, 1800–2100)
├── Formula Verification         (model vs published celestial-mechanics formulas, ±12,000 years)
└── Console Tests (F12)
      ├── Year Length (6 tests)
      ├── Day Length (3 tests)
      └── Calibration (4 tests)

Planet Inspector

An interactive 5-step modal that walks through the orbital hierarchy of any planet. Access it via Tools > Planet Inspector.

What it shows

The Position Report (Step 5) exports the planet’s measured positions at a set of reference dates defined in the source code (PLANET_TEST_DATES). This is useful for comparing the simulation against ephemeris data.

Eccentricity Balance Scale

An interactive visualization showing how planetary eccentricities form a physical balance system (Law 5). Access it via Tools > Eccentricity Balance Scale.

What it shows

For a selected target planet, the tool computes how the other 7 planets’ eccentricities collectively balance its base eccentricity. Each planet’s contribution is determined by:

where $m$ is mass, $d$ is Fibonacci divisor, and $a$ is semi-major axis.

Key insights visible in the tool

• Saturn (sole anti-phase member) sits alone on one side; the other 7 planets (in-phase group) balance it
• Jupiter’s weight ≈ 1 for Saturn: mass advantage (3.3×) cancelled by Fibonacci (0.6×) and distance (0.55×)
• Inner planet eccentricities are tiny residuals of enormous gas giant tug-of-war (Earth: Saturn pushes +15 AU, other giants pull back −15 AU, residual = 0.015 AU)
• Venus has the most complete cancellation: gas giants balance to 99.99%

Year Analysis Report

Generates a comprehensive Excel file with year-by-year astronomical measurements, all derived from the running 3D simulation.

Controls

Output Sheets

The exported Excel file contains 5 sheets:

Use Cases

• Validate model accuracy against IAU J2000 values
• Analyze year length variations over time
• Study tropical vs sidereal year relationships
• Verify precession measurements

Solstice File Export

Exports June solstice data for a range of years.

Output columns: For each year, the Excel file contains:

All values are measured from the 3D scene — the simulation fast-forwards to each solstice and reads the geometry.

Object File Export

Exports measured planet positions from the simulation at specified Julian Days.

Output columns: For each Julian Day and each planet, the Excel file contains:

This is useful for comparing the simulation’s geocentric positions against JPL Horizons or other ephemeris services.

Console Tests (F12)

Runs detailed astronomical validation tests with output to the browser’s Developer Console.

Setup

1. Open Developer Tools (F12)
2. Open Tools > Console Tests (F12)
3. Set the year range
4. Click a test button

Available Tests

Year Length Analysis

Day Length Analysis

Parameter Verification

Example Output

══════════════════════════════════════════════════════════════════════════
TROPICAL YEAR ANALYSIS (VERNAL EQUINOX)
══════════════════════════════════════════════════════════════════════════
Year range: 2000 to 2025

Year    VE Julian Day    Interval (days)    IAU Ref (days)    Diff (seconds)
─────────────────────────────────────────────────────────────────────────
2001    2451991.234567   365.242374         365.242374        +0.12
2002    2452356.477891   365.243324         365.242374        +82.15

SUMMARY:
  Mean tropical year: 365.242374 days
  IAU J2000 reference: 365.242374 days
  Difference: +0.05 seconds
  Status: ✓ PASS (within ±1 second tolerance)

Invariable Plane Validation

This validation shows whether the simulation’s invariable plane matches the reference orientation from Souami & Souchay (2012).

Read-only displays:

The panel also shows the current height above or below the invariable plane (in AU) for each of the 8 major planets.

Balance Trend Tracking

Tracks the invariable plane balance over time as the simulation runs.

Live metrics displayed:

The Lifetime Average is the key validation metric — if the invariable plane is correctly positioned, the mass-weighted deviations should cancel out over a full outer-planet cycle.

Invariable Plane Balance Explorer

An interactive modal for testing planetary phase group assignments and Fibonacci divisors against the Fibonacci Laws of Planetary Motion. It provides instant visual feedback on whether a given configuration satisfies the inclination balance (Law 3), eccentricity balance (Law 5), and fits within Laplace-Lagrange secular theory bounds.

Accessing the Explorer

1. Click Tools > Invariable Plane Inspector

The explorer opens as a centered overlay modal.

Input Values

The explorer reads orbital parameters live from the running simulation. These values are fetched directly from the simulation’s input variables, so any change you make to a planet’s properties in the simulation is immediately reflected in the explorer.

Explorer Controls

Several parameters per planet are adjustable directly within the explorer. Every change triggers immediate recalculation — no “Calculate” button needed.

Results

The explorer displays:

Default Planet Configuration (Config #11)

The model’s uniquely determined mirror-symmetric configuration:

Expected results: inclination balance 99.9975%, eccentricity balance 99.8632%, Laplace-Lagrange bounds 8/8 pass (within 0.03° uncertainty), trend directions 7/7 match.

Experiments to Try

• Change Saturn to in-phase: balance collapses — Saturn must be in the opposite group
• Increase Neptune’s d from 34 to 55: amplitude decreases, observe effect on balance
• Browse other valid configurations: use the Preset dropdown to compare alternatives
• Find Config #11 (Scenario A): the only configuration with mirror-symmetric d-assignments

For background on the laws and their derivations, see Fibonacci Laws and Fibonacci Laws Derivation.

Solar System Resonance Cycle Panel

An interactive table showing how all planetary cycles — axial precession, ecliptic perihelion, ICRF perihelion, ascending node, obliquity, and eccentricity — divide the Solar System Resonance Cycle (8H = 2,682,536 years) evenly as integer fractions. Access it via Tools > Solar System Resonance Cycle.

What it shows

A grid with all 8 planets × 6 cycle types. Each cell shows:

• Years mode: the cycle period in years
• 8H/N mode: the integer divisor (toggle with the Years/8H button)

Earth’s row is highlighted. Venus and Neptune have obliquity cycle = |ICRF perihelion period| (auto-derived; tidally damped) — the two-component formula cancels exactly, producing constant obliquity.

The panel demonstrates a key model claim: every planetary cycle for every planet is an integer divisor of a single super-period (8H), meaning the entire system resets after one Solar System Resonance Cycle.

WebGeoCalc Explorer

Shows the actual observed perihelion-precession history of each planet from JPL NAIF WebGeoCalc (1800–2100), plotted alongside the model’s own prediction for direct comparison. Access via Tools > WebGeoCalc Explorer.

This is the panel that makes the model’s Fibonacci perihelion rates checkable against observation. The rates are calibrated to match what JPL reports, not what Laplace-Lagrange secular theory predicts — the Explorer shows this calibration working in real time.

What it shows

Each planet tab presents three charts on the same time axis (1800–2100):

The primary chart reports two trends per planet:

• Raw OLS — direct linear regression of ϖ(t), affected by short-period oscillations.
• Sin + lin — bias-corrected trend (linear + sinusoid model removes the dominant oscillation). For inner planets (short oscillation periods) both rates agree; for outer planets they differ.

Observed rates (1800–2100 baseline)

The five un-determined planets (Venus, Jupiter, Saturn, Uranus, Neptune) have perihelion oscillation periods longer than the 126-year observational baseline. A linear fit over the window picks up oscillation noise rather than the long-term trend, and the apparent slope flips sign across sub-windows (1800–1900, 1900–2026, 2026–2100). Their signs are inherited from Laskar-style million-year secular integrations. Only Mercury and Mars have trends cleanly resolvable from direct observation.

Earth is omitted from the tabs because its ecliptic inclination is zero by definition (the ecliptic is Earth’s orbital plane), so its ascending node Ω is numerically undefined. The reference WebGeoCalc charts also omit Earth.

Why it matters

The Holistic Universe Model’s Fibonacci perihelion rates (e.g., Mercury H × 8/11, Saturn −H/8) are calibrated to match WebGeoCalc observations directly, not textbook secular-theory predictions. For Saturn specifically, standard first-order Laplace-Lagrange theory predicts prograde precession (~+1,867 ″/cy in the diagonal A_ii approximation); WebGeoCalc reports retrograde ~-3,400 ″/cy. The model’s H/8 retrograde matches observation to ~10%; first-order secular theory has the wrong sign.

Standard astronomy explains Saturn’s retrograde observation as a transient phase of the Jupiter-Saturn 5:2 near-resonance (“Great Inequality”), with an expected reversal within ~450 years. The Holistic Universe Model treats the retrograde as permanent structural behavior because ICRF, not the ecliptic, is the stable reference frame. Long-baseline JPL DE441 integrations (13,000 BC → 17,000 AD) can in principle distinguish these hypotheses.

For the full technical discussion — including why ecliptic-only first-order L-L fails structurally and why a two-frame (ICRF + ecliptic) treatment succeeds — see the WebGeoCalc Explorer reference  and Mercury Precession Breakdown  on GitHub.

Orbital Forcing Formula Explorer

Plots the model’s 8H Orbital Forcing Formula — a 26-component fit on integer divisors of 8H = 2,682,536 years (R² = 0.238) — directly on top of the LR04 benthic δ¹⁸O stack (Lisiecki & Raymo 2005). Access via Tools > Orbital Forcing Formula.

What it shows

Five tabs span the full LR04 record plus a forward projection:

LR04 plotted in blue; the 8H formula in yellow. The x-axis runs past → future (today = 2000 AD) with calendar-year labels (BC for past, AD for future). Known past events (LGM, MIS 6/8/10/11) are marked at the bottom of past-window charts.

Why it matters

The formula captures only the orbital-forcing component of climate (~24 % of LR04 variance); the remaining ~76 % comes from non-orbital climate-system response (ice-sheet hysteresis, CO₂ feedbacks). The Explorer makes this visible: on the Full LR04 tab, the formula’s stationary amplitudes contrast with LR04’s growing volatility from Pliocene to Pleistocene — orbital forcing didn’t change, but climate sensitivity did (MPT crossed an ice-sheet hysteresis threshold). On the Forward projection tab, the predicted phase transitions show when the orbital clock makes glaciation possible; the actual surface-temperature response can lag by thousands of years and is not modelled. See the full background on the Orbital Forcing Formula page and the technical record at doc 17 on GitHub .

Formula Verification

Compares the model’s predictions against published closed-form formulas from celestial-mechanics literature — Meeus, Chapront, Capitaine, Vondrák, Laskar, Berger, Peters, Harkness. Access via Tools > Formula Verification.

This is the analytical twin of the WebGeoCalc Explorer. Where WebGeoCalc compares the model against observed JPL data (1800–2100), Formula Verification compares the model against published analytical formulas (over a ±12,000-year window). Together they validate the model from two independent directions: does it match what JPL measures, and does it match what textbook celestial mechanics predicts?

What it shows

Nine categories are available, one per quantity. The panel’s dropdown / arrow navigation lets you step through them:

Each category also shows observed J2000 values (NASA/JPL, IAU, Souami & Souchay 2012) in the comparison table so the reader can see where observed reality sits relative to both the model and the published formulas.

Chart layout

Every category opens a three-section pane:

A “Max difference” line under the residual chart reports the actual gap at −12,000 BC and +12,000 AD between the model and the primary reference, in both the residual unit and the base unit.

Reference formula catalogue

The panel implements three classes of reference formula:

Reference polynomials become unreliable outside their stated validity window — the panel plots them anyway (with a range note) so the reader can see why N-body solutions are needed at long range.

Export for Paper

Two buttons in the header produce publication-grade SVG exports:

• Export for Paper — renders the current category over the default ±12,000 yr range as a clean SVG without UI chrome.
• Export Cycles — for eccentricity and obliquity only: extends the baseline to −248,000 BC → +102,000 AD to show the model’s long-term oscillation cycles against Laskar La2004 over multiple glacial cycles.

What a user sees at different time scales

For the full technical reference — including the exact list of formulas, colour coding, and code locations — see the Formula Verification reference  on GitHub.

IAU Reference Values

The analysis tools compare measured simulation values against these IAU J2000 reference values:

Tips

1. List Mode: Use comma-separated years for non-consecutive analysis (e.g., 2000, 2025, 2050, 2100)
2. Console: Always open Developer Tools (F12) before running console tests
3. Validation: Compare measured output against IAU references to verify model accuracy
4. Export Format: All exports use Excel format (.xlsx)

Return to the 3D Simulation Guide or explore Mathematical Foundations for the underlying calculations.