Jinsi ya kukokotoa Kepler Third Law
Kepler Third Law ni nini?
Kepler's third law relates orbital period to orbital distance. It explains why planets farther from the Sun take longer to orbit.
Fomula
The calculator applies T² = (4π² / GM) × a³
- GM
- GM value — Variable used in the calculation
Mwongozo wa Hatua kwa Hatua
- 1Enter orbital period and distance, or the central body's mass
- 2The calculator applies T² = (4π² / GM) × a³
- 3Results show orbital relationship
Mifano Iliyotatuliwa
Ingizo
a = 1 AU (Earth orbit), M = 1.989 × 10³⁰ kg (Sun)
Matokeo
T ≈ 1 year
By definition
Makosa ya Kawaida ya Kuepuka
- ✕Using incorrect AU values or unit conversions
- ✕Confusing period with frequency
Maswali yanayoulizwa mara kwa mara
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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