כיצד לחשב את Kepler Third Law
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Kepler's third law relates orbital period to orbital distance. It explains why planets farther from the Sun take longer to orbit.
נוסחה
The calculator applies T² = (4π² / GM) × a³
- GM
- GM value — Variable used in the calculation
מדריך שלב אחר שלב
- 1Enter orbital period and distance, or the central body's mass
- 2The calculator applies T² = (4π² / GM) × a³
- 3Results show orbital relationship
Worked Examples
קלט
a = 1 AU (Earth orbit), M = 1.989 × 10³⁰ kg (Sun)
תוצאה
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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