Physics · Kepler's law of planetary motion

Let be the area swept by the radial vector connecting the earth and the sun in A

Let \( ^{\prime} \boldsymbol{A}^{\prime} \) be the area swept by the radial vector connecting the earth and the sun in April and May months. Then, find the area swept by the same radial vector connecting the earth and the sun in November and December months interms of \( \boldsymbol{A} \)

  • A. \( A \)
  • B. \( 2 A \)
  • C. \( \frac{30 A}{31} \)
  • D. \( \frac{31 A}{30} \)

Step-by-step solution

Kepler's second law states that the line joining a planet to the Sun sweeps out equal areas in equal times. The total number of days in April (30) and May (31) is 61 days, same as November (30) and December (31). Thus the area swept in these two-month intervals is equal.
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