Kepler's Third Law (Law of Periods)
Formula: (T²)/(r³) = k or (T₁²)/(T₂²) = (r₁³)/(r₂³). Conditions: Planets orbiting the Sun (or satellites orbiting a planet) in elliptical orbits. T is the orbi…
Syllabus path: Mechanics › Circular Motion & Gravitation
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CSCA Physics Formula Reference
Formula and explanation
Formula: (T²)/(r³) = k or (T₁²)/(T₂²) = (r₁³)/(r₂³). Conditions: Planets orbiting the Sun (or satellites orbiting a planet) in elliptical orbits. T is the orbital period, r is the semi - major axis of the ellipse. Explanation: For all orbiting bodies around the same central body, k is constant. From the Law of Universal Gravitation, k = (4π²)/(GM).
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Circular Motion & Gravitation
Circular Motion & Gravitation 1. Kinematics of Circular Motion Quantities describing circular motion: Linear Velocity ( v ): How fast it moves along the path. Tangential direction. Formula: v = (Δ s)/(Δ t) = (2π r)/(T) Angular Velocity ( ω ): How fast the angle changes. Formula: …
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