learn.howToCalculate
learn.whatIsHeading
Kepler's third law relates orbital period to orbital distance. It explains why planets farther from the Sun take longer to orbit.
الصيغة
The calculator applies T² = (4π² / GM) × a³
- GM
- GM value — Variable used in the calculation
دليل خطوة بخطوة
- 1Enter orbital period and distance, or the central body's mass
- 2The calculator applies T² = (4π² / GM) × a³
- 3Results show orbital relationship
أمثلة محلولة
الإدخال
a = 1 AU (Earth orbit), M = 1.989 × 10³⁰ kg (Sun)
النتيجة
T ≈ 1 year
By definition
أخطاء شائعة يجب تجنبها
- ✕Using incorrect AU values or unit conversions
- ✕Confusing period with frequency
أسئلة شائعة
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.
هل أنت مستعد للحساب؟ جرب الآلة الحاسبة Kepler Third Law المجانية
جربه بنفسك →