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A(z) Kepler Third Law kiszámítása

Mi az a Kepler Third Law?

Kepler's third law relates orbital period to orbital distance. It explains why planets farther from the Sun take longer to orbit.

Képlet

The calculator applies T² = (4π² / GM) × a³
GM
GM value — Variable used in the calculation

Útmutató lépésről lépésre

  1. 1Enter orbital period and distance, or the central body's mass
  2. 2The calculator applies T² = (4π² / GM) × a³
  3. 3Results show orbital relationship

Worked Examples

Bemenet
a = 1 AU (Earth orbit), M = 1.989 × 10³⁰ kg (Sun)
Eredmény
T ≈ 1 year
By definition

Common Mistakes to Avoid

  • Using incorrect AU values or unit conversions
  • Confusing period with frequency

Frequently Asked Questions

Does Kepler's law apply to all objects?

Yes, it applies to any orbit around a massive central body, from planets around stars to satellites around planets.

Why is period proportional to distance to the 3/2 power?

Gravity weakens with distance, requiring slower speeds at greater distances, which more than compensates for longer path length.

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