Two satellites `S_(1)` and `S_(2)` revolve round a planet in coplaner circular orbit in the same sense. Their period of revolution are `1` hour and `8` hour respectively. The radius of the orbit of `S_(1)` is `10^(4) km`. When `S_(2)` is closest to `S_(1)`, find
(a) The speed of `S_(2)` relative to `S_(1)`,
(b) The angular speed of `S_(2)` actually observed by an astronaut is `S_(1)`

Explanation

To solve the problem, we need to find the speed of satellite S2 relative to satellite S1 and the angular speed of S2 as observed by an astronaut in S1. Let's break this down step by step.

### Given Data:
- Period of revolution of S1, \( T_1 = 1 \) hour
- Period of revolution of S2, \( T_2 = 8 \) hours
- Radius of orbit of S1, \( r_1 = 10^4 \) km

### Step 1: Find the radius of the orbit of S2 using Kepler's Third Law.
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