State the relation between the escape and orbital velocities. Does this relation change with height ?

Explanation

To solve the problem, we need to establish the relationship between escape velocity and orbital velocity, and determine if this relationship changes with height.

### Step-by-Step Solution:

1. **Define Escape Velocity**:
The escape velocity (\(v_e\)) is the minimum velocity required for an object to break free from the gravitational attraction of a planet without any further propulsion. The formula for escape velocity is given by:
\[
v_e = \sqrt{2gR}
...