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)
├── Grand Holistic Octave        (8H integer divisor table for all planets × 6 cycles)
└── 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 99.8631%, 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 the 766 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.

Grand Holistic Octave Panel

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

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 period (8H/100) — 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 Grand Holistic Octave.

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.