Is this good for educators?

Yes — this version of "Driven Resonance for planetary motion" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.

Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Educators · Driven Resonance

Driven Resonance for planetary motion

Built for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs. Simulate planetary motion live below — adjust the inputs and watch it respond, right in your browser.

Driven ResonanceLive

amplitude near the natural frequency

Controls

Presets

Natural frequency f₀ (Hz)

Damping ratio ζ

Drive frequency (Hz)

Push a swing at its natural frequency and the amplitude blows up — resonance. Less damping → a taller, sharper peak (higher Q). This is why bridges, buildings, and wine glasses each have a frequency you must avoid.

▶ Run in Python

Data Inspector

Response amplitude8.44e-2

Quality factor Q3.3

At resonance?yes ≈ peak

Governing equation

A (ω) = \frac{F _{0}}{( ω _{0}^{2} - ω ^{2} ) ^{2} + ( γ ω ) ^{2}}, ω = 2 π (1.00), ζ = 0.15, A = 8.44 e - 2

Reading this result: Driving at the natural frequency f₀, so you sit on the resonance peak; the damping ratio ζ caps the height at a quality factor Q of 3.3.

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More with Driven Resonance

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Frequently asked questions

Is this good for educators?: Yes — this version of "Driven Resonance for planetary motion" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.