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.
Формула
The calculator applies T² = (4π² / GM) × a³
- GM
- GM value — Variable used in the calculation
Пошаговое руководство
- 1Enter orbital period and distance, or the central body's mass
- 2The calculator applies T² = (4π² / GM) × a³
- 3Results show orbital relationship
Решённые примеры
Ввод
a = 1 AU (Earth orbit), M = 1.989 × 10³⁰ kg (Sun)
Результат
T ≈ 1 year
By definition
Распространённые ошибки
- ✕Using incorrect AU values or unit conversions
- ✕Confusing period with frequency
Часто задаваемые вопросы
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.
Готовы посчитать? Попробуйте бесплатный калькулятор Kepler Third Law
Попробуйте сами →