The solar system as it actually exists in galactic space — tilted 60.2° to the galactic plane, not the flat ecliptic-horizontal convention every other simulation defaults to. 13 bodies, 19 spherical moons, asteroid belt, Kuiper belt. JPL Keplerian orbital elements. The golden axes mark the galactic reference frame: Center, North, and Solar Motion — the direction the Sun is actually travelling at 230 km/s (with a 1.7° upward tilt as it climbs above the galactic midplane).
Gravity lines connect body pairs as 3D cylinders — width encodes force on a log scale. Spiral trails show the helical paths each planet traces through galactic space as the Sun drags the system forward. The trails stream at 1.7° above horizontal — the Sun's true trajectory, not an idealized circular orbit.
Below the simulation: two novel graph types invented for this presentation. The Force City — a 13×13 grid of buildings where height = gravitational force between every body pair. The Radial Matrix Urchin — the same 156 relationships wrapped onto a sphere with radial spines. Neither has ever been built before. Both breathe in real time as the planets move.
Planes shows drop-lines from each body to the galactic plane. Axes shows the galactic coordinate frame. Galactic shows the Sun's orbital vector with its multi-coloured glow. Drag to orbit · Scroll to zoom · Right-drag to pan.
The grid below controls which gravity lines appear in the 3D viewport above. Each column is a body. Check a row to connect that pair. The + button connects all lines from one body; − clears them. All and Clear toggle everything. Every checked pair also feeds the Force City and Radial Matrix Urchin below.
The bars below answer one question: who influences whom, and by how much? Select any body as the target. Then switch metrics and watch the entire ranking flip. In Distance mode, three discrete groups emerge — inner system, gas giants, outer system — oscillating at different rates with structural voids between them. No physics in this metric, just geometry, and yet the architecture reveals itself. Switch to M/r² F=ma and the Sun dominates everything — this is the real force law, per unit mass. Switch to M/r³ Gradient and the Moon suddenly dominates Earth because r³ crushes distance. Same bodies, same moment, completely different hierarchies depending on what you measure. The ABS toggle freezes the scale so every bar shows only its own motion — Mercury's eccentricity becomes visible as a pulsing bar instead of being hidden as the permanent leader.
The Force City — a new type of graph, never built before. A 13×13 city where every building is the gravitational force between two bodies. Row axis (left) = body A. Column axis (front) = body B. The diagonal — where a body meets itself — runs through the city as a translucent wall with glowing identity spheres. The city is symmetric across this diagonal because F(A,B) = F(B,A). Switch to Real F and watch: one pair — Sun-Jupiter — towers over everything. The entire solar system's gravitational story is a binary relationship with 11 small things caught in the geometry. Every other building is invisible at linear scale. That truth is impossible to show in line widths. Only building heights can display a 10¹⁵ dynamic range.
The Radial Matrix Urchin — a new type of graph, never built before. The same 156 force columns wrapped onto a sphere like spines on a sea urchin. Latitude = body A (Sun at south pole, Haumea at north). Longitude = body B (spread around the equator). Each column radiates outward — height = force. The polar cylinder maps every body's name to its latitude. Coloured connector rods link each body's identity dot on the sphere surface to its position on the cylinder. The urchin has no edges and no preferred viewing angle — every relationship is accessible from every direction. In Real F mode, the Sun's south pole cap bristles with spikes while the rest goes bald — the gravitational universe reduces to one polar cluster.