केप्लर का तीसरा नियम कैलकुलेटर — सूत्र

Kepler's Third Law

For bodies orbiting the same central mass, the square of the period is proportional to the cube of the semi-major axis.

Simplified Form (Solar System)

T² = a³ when T is in Earth years and a is in AU.

Rearranging: a = T^(2/3)

हल किया गया उदाहरण

Mars has an orbital period of 1.881 years. Find its semi-major axis.

  1. a = T^(2/3)
  2. T² = 1.881² = 3.538
  3. a = 3.538^(1/3) = 1.524 AU
  4. In km: 1.524 × 149 597 870.7 ≈ 228 million km