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📄 Fibonacci Laws — Read the paper
3D SimulationUser Guide

3D Simulation Guide

The Interactive 3D Solar System Simulation is where all the theory comes together. You can explore, verify, and compare observations against other planetariums like Stellarium .

Launch the 3D Simulation → 


Getting Started

Mouse & Keyboard

ControlAction
Left-click + dragRotate the view
Right-click + dragPan the view
Scroll wheelZoom in/out
Click a planet nameCenter the camera on that object

Simulation Controls

ControlAction
Run / PauseStart or stop the simulation
1 second equalsSet time speed (see presets below)
DateJump to any calendar date
Julian DayJump to any Julian Day number (linked to Date)
RESETReturn to the default view and start date

Speed Presets

The “1 second equals” dropdown offers these options:

PresetUse for
1 secondNear-real-time observation
1 minuteSlow planetary motion
1 hourWatching day/night cycle
1 dayDaily orbital progress
1 weekWeekly motion
1 monthMonthly orbital progress
1 yearAnnual orbits
10 yearsDecade-scale patterns
100 yearsCentury-scale precession
1,000 yearsAxial precession (~25,684 yr cycle)

Interface Overview

The simulation interface has a Tweakpane control panel on the right side of the screen with these folders:

FolderWhat it does
AboutThe Six Laws, Free Parameters, Calibration Inputs, Model Parameters, website link
Root controlsDate, Time, Speed, Julian Day display, Perihelion display
CameraFocus target, FOV, distance
VisualizationPlanet size boost, orbits, labels, starfield, constellations, zodiac
TracingChip-grid buttons to enable/disable orbit traces per planet
Show / HideChip-grid buttons to show/hide objects per planet
ReportsExport planet positions, solstice/equinox data, and year length analysis
ToolsPlanet Inspector, Invariable Plane Inspector, Console Tests (F12)

Click any planet name to open the Planet Info sidebar — a collapsible panel showing real-time RA, Dec, distances, orbital parameters, predictions, and inclination charts for the selected planet.


Key Features

Planet Info Sidebar

Click any planet name to open the Planet Info sidebar. It shows real-time values for the selected planet:

  • RA (Right Ascension) — position along the celestial equator
  • Dec (Declination) — angle above or below the celestial equator
  • Distance — in AU (Astronomical Units)
  • Orbital parameters — precession periods, inclination, eccentricity
  • Predictions — live obliquity, year lengths, precession rates (for Earth)
  • Charts — inclination oscillation and obliquity charts

The sidebar starts collapsed and expands on click. All values update in real time as the simulation runs. Pause the simulation to get a stable reading at any specific date.

Planet Info sidebar showing RA, Dec, and Distance values

Visualization

Open the Visualization folder to toggle:

  • Zodiac wheel - see the 12 zodiac constellations
  • Polar line - visualize Earth’s axial tilt
  • Star names - identify stars by name
  • Constellations - show constellation patterns

Special Objects

The simulation includes two unique reference objects that are not found in conventional planetariums:

  • EARTH-WOBBLE-CENTER (dark sphere) — the fixed point around which Earth’s spin axis slowly traces a circle. To see it in action: enable “Polar line” in Visualization, set speed to “1000 years”, and press Run. The pole visibly circles this point over ~25,684 years.
  • PERIHELION-OF-EARTH (white sphere) — marks where Earth makes its closest approach to the Sun. This point slowly drifts counter-clockwise, completing one full circuit in ~111,296 years.

Both objects can be toggled on/off in the Show / Hide chip grid.

EARTH-WOBBLE-CENTER and PERIHELION-OF-EARTH in the simulation

Things to Try

1. Watch Earth’s Axial Precession

  • Enable “Polar line” in Visualization
  • Set “1 second equals” to “1000 years”
  • Press Run and watch the pole trace a circle over ~25,684 years

2. See the 1246 AD Alignment

  • Set date to 1245-12-14
  • Observe PERIHELION-OF-EARTH aligned with EARTH-WOBBLE-CENTER
  • This marks the perihelion-solstice alignment (December solstice = perihelion)

3. View Moon’s Nodal Precession

  • Zoom in on Earth and Moon
  • Tilt to ecliptic level
  • Set “1 second equals” to “1 year”
  • Watch the Moon’s orbit precess over ~18.6 years

4. Trace Venus’s 5-Petal Pattern

  • Open the Tracing folder
  • Click the “Venus” chip to enable its trace
  • Set “1 second equals” to “1 year”
  • Run and watch the famous 5-petal pattern appear

5. View the Age of Aquarius

  • Set date to 2048-03-21
  • Enable “Zodiac” in Visualization
  • See the March equinox point crossing into the Aquarius sector of the zodiac wheel

Important Dates to Explore

DateJulian DayWhat to See
2000-06-212451716.5Default start date (June Solstice)
1245-12-142176141.5Perihelion-Solstice alignment (1246 AD)
2048-03-212469157Start of Age of Aquarius
-9188-03-04-1634795.5Four Royal Stars alignment

How the Model Differs

Unlike conventional planetariums that use ellipse formulas, this simulation builds every orbit from circles rotating at constant speed. No planet ever speeds up or slows down — yet the combination of multiple circular motions produces the same elliptical paths and variable speeds observed in nature.

Two slow background motions are visible at high speed settings:

  1. Earth’s axial precession — Earth’s spin axis traces a circle around EARTH-WOBBLE-CENTER over ~25,684 years
  2. Perihelion drift — PERIHELION-OF-EARTH slowly orbits the Sun over ~111,296 years

Planetary orbital periods and distances follow Kepler’s Third Law (P² ∝ a³), and the resulting positions match recorded observations across thousands of years.

For the full technical explanation, see How It Works.


Verification

Compare simulation values with:

The model matches planetary ephemerides, Mars oppositions, Venus/Mercury transits, Jupiter-Saturn conjunctions, and eclipse data.

Tips

  • UTC Time: All times are in UTC. Use a time converter  for local time
  • Performance: Large time speeds (1,000+ years) work best in a desktop browser
  • Orbit traces: Open the Tracing folder and click planet chips to draw orbital paths as the simulation runs

Next Steps

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