Як розрахувати Kepler Third Law
Що таке 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.
Формула
The calculator applies T² = (4π² / GM) × a³
- GM
- GM value — Variable used in the calculation
Покрокова інструкція
- 1Enter orbital period and distance, or the central body's mass
- 2The calculator applies T² = (4π² / GM) × a³
- 3Results show orbital relationship
Розв'язані приклади
Введення
a = 1 AU (Earth orbit), M = 1.989 × 10³⁰ kg (Sun)
Результат
T ≈ 1 year
By definition
Поширені помилки
- ✕Using incorrect AU values or unit conversions
- ✕Confusing period with frequency
Часті запитання
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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