Gravitational Swarm

Dense orbital particle cloud interacting with moving binary gravitational mass centers under softened Newtonian inverse-square laws.

60 FPS • Canvas 2D

Click + Drag to interact with field

Live Parameters

Orbital Stars 1500

Number of particles

Gravitational Constant (G) 900

Mass attraction intensity

77 chars high

Analytical Equation

\mathbf{F}_i = \sum_{j=1}^{2} \frac{G M_j (\mathbf{r}_j - \mathbf{p}_i)}{(\|\mathbf{r}_j - \mathbf{p}_i\|^2 + \epsilon^2)^{3/2}}

Compact Formula

a_x = G * dx / (dx² + dy² + ε²)^(3/2), a_y = G * dy / (dx² + dy² + ε²)^(3/2)

Renderer Logic

const d1Sq = dx1 * dx1 + dy1 * dy1 + 400;
const f1 = G / (d1Sq * Math.sqrt(d1Sq));
vx[i] += dx1 * f1;
vy[i] += dy1 * f1;

Open in Playground Zero Dependencies • Standalone

#gravity #n-body #physics #particles #orbit #celestial

Author: Math Art Core Target: 60 FPS