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Kepler's Third Law

Reference from the original Physics I textbook.

Kepler's Third Law

For orbits about the same central mass M, the square of orbital period T is proportional to the cube of the semimajor axis a: T² ∝ a³. When the orbiting mass is negligible,

T2=4π2a3GM

G = gravitational constant ≈ 6.67 × 10⁻¹¹ m³/(kg·s²); M = central mass (kg); T = orbital period (s); a = semimajor axis (m).

Related Glossary Terms

Kepler's First Law, Kepler's Second Law, Table 3.4.1: Kepler’s Third Law

Index

Chapter 3 - FFR - Kepler’s Laws

Reviewed physics notes (3)

These corrections keep the original lesson’s purpose while fixing errors in the source edition.

  • Kepler’s third law uses semimajor axis, not changing instantaneous Sun-planet distance. — Reference 1
  • Uses semimajor axis consistently. — Reference 1
  • Clarifies the orbital distance variable. — Reference 1

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