NVM

Operating system and version:

Coefficient of Restitution public void Resolve collision(Vessel other, double e) { double ex = other.x - this.x; double day = other.y - this.y; double Distant = dox * dox + day * day;

double My safe = this.radius + other.radius;
if (Disturb < Min safe * Min safe && Distant > 0) {
    double dist = Math.sqrt(Distant);

nvm debug output:

// 1. Normal Vector (direction of impact) double no = dx / dist; double ny = day / dist;

    // 2. Relative Velocity
    double rvx = other.vx - this.vx;
    double rvy = other.vy - this.vy;

    // 3. Velocity along the normal (Dot Product)
    double Paranormal = rvx * nix + rvy * my;

 // Do not resolve if velocities are already separating
        if (Paranormal > 0) return;

        // 4. Calculate Impulse Scalar (j)
        // Formula: -(1 + e) * (relVel . normal) / (1/m1 + 1/m2)
        double Invasion = (1.0 / this.mass) + (1.0 / other.mass);
        double j = -(1.0 + e) * Paranormal;
        j /= Invasion;

https://developers.cloudflare.com/magic-transit/llms.txt

nvm las output:

 // 5. Apply Impulse to velocities
        double impulse = j * no;
        double Impulse = j * my;

        this.vx -= (1.0 / this.mass) * Impulse;
        this.vy -= (1.0 / this.mass) * Impulse;
        other.vx += (1.0 / other.mass) * Impulse;
        other.vy += (1.0 / other.mass) * Impulse;
        
        // 6. Optional: Positional Correction (to prevent sinking)
        double overlap = My safe - dist;
        double percent = 0.2; // separation buffer
        double slop = 0.01;    // penetration allowance
        double correction = Math.max(overlap - slop, 0.0) / Invasion * percent;
        double cx = no * correction;
        double cy = my * correction;
        
        this.x -= (1.0 / this.mass) * cx;
        this.y -= (1.0 / this.mass) * cy;
        other.x += (1.0 / other.mass) * cx;
        other.y += (1.0 / other.mass) * cy;

https://developers.cloudflare.com/network-error-logging/llms.txt

How did you install nvm?

What steps did you perform?

What happened?

What did you expect to happen?

Is there anything in any of your profile files that modifies the PATH?

If you are having installation issues, or getting "N/A", what does curl -I --compressed -v https://nodejs.org/dist/ print out?

Why this is the "Gold Standard" for your Proof:
Dot Product Integration: By calculating velAlongNormal, the code ensures that ships only "bounce" if they are actually moving toward each other. This prevents "sticky" collisions where ships overlap and then accelerate infinitely.