The minimum and maximum distances of a satellite from the center of the earth are `2R` and `4R` respectively, where `R` is the radius of earth and `M` is the mass of the earth . Find
(a) its minimum and maximum speeds,
(b) radius of curvature at the point of minimum distance.

Explanation

To solve the problem, we will break it down into two parts: (a) finding the minimum and maximum speeds of the satellite, and (b) finding the radius of curvature at the point of minimum distance.

### Part (a): Minimum and Maximum Speeds

1. **Identify the distances**:
- Minimum distance from the center of the Earth, \( r_1 = 2R \)
- Maximum distance from the center of the Earth, \( r_2 = 4R \)

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