Particle sphere to orbiting rings

A 3D particle scene drawn on a full-frame <canvas> with Canvas 2D and your own perspective projection (rotate points in 3D, project with a pinhole camera, sort by depth, size and brighten nearer points). Use ~3,000 particles generated once with a seeded PRNG. Sequence: (1) particles condense from a scattered cloud into a glowing sphere; (2) the sphere spins and splits into a planet with two tilted orbital rings; (3) the camera orbits slowly around the system, rings shimmering; (4) particles morph into a flat word 'ORBIT' that turns to face the camera, then hold. Every particle position must be a pure function of t (interpolate between shape targets with eased progress). Deep space background (#05060d) with a subtle radial glow; particle colors from ice blue to warm white.