Local orbit radius
\[r=\frac{a(1-e^2)}{1+e\cos(\nu)}\]
Each tracked moon follows the same conic equation used for planetary orbits, with the parent planet as the focus.
Saturn moon system
Saturn moons in motion.
Saturn has the largest confirmed moon system in this build, from ring shepherds to Titan and distant irregular clusters.
Saturn selected
- parent distance
- Sun distance AU
- speed
- period
- position
1.00x Earth view- from Sun - - disk - - light
Moon simulator is initializing. Drag to rotate, wheel to zoom, right-drag to pan.
Simulation basis
Mean orbit model
Ring, classical, Titan, Iapetus, and Phoebe-class orbits are measured mean elements; numerous small irregulars are rendered as outer catalog shells.
Controls
Use the model
Drag rotates the scene, wheel zooms, right-drag pans, and the Full screen button expands the simulator. The time-rate selector can run from realtime seconds to one year per second.
The selected moon panel reports parent-relative distance, approximate Sun distance in AU, orbital speed, period, and current model angle.
Tracked moons
Interactive orbit data
These bodies have individual orbit tracks and selectable readouts in the simulator.
| Moon | Study note | Radius | Mean parent distance | Eccentricity | Period | Mean speed |
|---|---|---|---|---|---|---|
| Pan | Ring-gap moon in the Encke Gap. | 14.1 km | 133,584 km | 1e-05 | 0.575 days | 16.8 km/s |
| Atlas | Small inner moon near Saturn's A ring edge. | 15.1 km | 137,670 km | 0.0012 | 0.602 days | 16.6 km/s |
| Prometheus | F ring shepherd moon that sculpts ring streamers. | 43.1 km | 139,380 km | 0.0022 | 0.613 days | 16.5 km/s |
| Pandora | Outer F ring shepherd companion. | 40.7 km | 141,720 km | 0.0042 | 0.629 days | 16.3 km/s |
| Mimas | Cratered moon dominated visually by Herschel crater. | 198.2 km | 185,539 km | 0.0196 | 0.94242 days | 14.3 km/s |
| Enceladus | Bright icy moon venting ocean material from south-polar fractures. | 252.1 km | 238,042 km | 0.0047 | 1.37 days | 12.6 km/s |
| Tethys | Mid-sized icy moon with large impact and tectonic features. | 531.1 km | 294,672 km | 0.0001 | 1.888 days | 11.4 km/s |
| Dione | Icy moon with wispy tectonic terrains. | 561.4 km | 377,415 km | 0.0022 | 2.737 days | 10.0 km/s |
| Rhea | Second-largest Saturnian moon and an old cratered icy body. | 763.8 km | 527,108 km | 0.001 | 4.518 days | 8.5 km/s |
| Titan | Large moon with dense nitrogen atmosphere, methane weather, lakes, dunes, and organic chemistry. | 2,574.7 km | 1,221,870 km | 0.0288 | 15.945 days | 5.57 km/s |
| Iapetus | Distant two-toned moon with high inclination and an equatorial ridge. | 734.5 km | 3,560,820 km | 0.028 | 79.321 days | 3.26 km/s |
| Phoebe | Retrograde irregular moon, likely captured from the outer solar system. | 106.5 km | 12,952,000 km | 0.164 | 550.48 days | 1.71 km/s |
Catalog coverage
Recorded names and groups
Pan, Atlas, Prometheus, Pandora, Epimetheus, Janus, Mimas, Enceladus, Tethys, Dione, Rhea, Titan, Hyperion, Iapetus, Phoebe, Telesto, Calypso, Helene, Polydeuces, Methone, Pallene, Daphnis, Anthe, Aegaeon, S/2020 S 45, S/2020 S 46, S/2020 S 47, S/2020 S 48, S/2023 S 51, S/2023 S 52, S/2023 S 53, S/2023 S 54, S/2023 S 55, S/2023 S 56, S/2023 S 57
Dense irregular and provisional moon populations are represented as catalog shell markers when compact per-moon orbital elements are not bundled into this static site. Counts are preserved so the system scale remains visible without overloading the browser.
Mathematical model
Natural-satellite orbital model
Moon-system simulations use local two-body approximations around the parent planet. The layout is computed from orbital periods, eccentricities, inclinations, and mean distances rather than from a reference image.
Period consistency
\[n=\frac{2\pi}{P}\]
Mean motion n is derived from orbital period P. The animation phase is therefore tied to the catalog period and remains internally consistent.
Inclined orbit plane
\[\mathbf{r}_{\mathrm{scene}}=R_x(i)\,\mathbf{r}_{\mathrm{orbit}}\]
Inclination i rotates the moon's local orbital plane. This proves the visible path is a transform of the mathematical orbit, not a freehand ring.
Verification standard: the rendered object must be reproducible from stated equations, catalog parameters, or explicit geometric transforms. Visual reference images may inform presentation only; they are not the source of orbital positions, field vectors, accretion-disk gradients, timing, or engineering layout.
Limitations: browser scenes may use bounded scale, compressed distances, simplified two-body dynamics, schematic transfer curves, or educational approximations where full numerical ephemerides, CFD, finite-element models, or general-relativistic ray tracing are outside the page scope. Those simplifications are part of the model contract, not hidden image-based construction.