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Cum se calculează Kepler Third Law

Ce este 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.

Formulă

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

Ghid pas cu pas

  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

Exemple rezolvate

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

Greșeli frecvente de evitat

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

Întrebări frecvente

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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