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The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are and , respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S. Position A is closest to the Sun (perihelion) and C is furthest (aphelion). Then:
image

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

According to Kepler's Second Law (Law of Conservation of Angular Momentum), the angular momentum is constant.At the perihelion (A), the distance is minimum, so the velocity is maximum. Thus, is maximum.At the aphelion (C), the distance is maximum, so the velocity is minimum. Thus, is minimum.At point B, the distance is intermediate.Order: .

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The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are and , respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S. Position A is closest to the Sun (perihelion) and C is furthest (aphelion). Then:
image
A
B
C
D

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