A star like the sun has serveral bodies moving around it at different distance. Consider that all of them are moving in circular orbits. Let `r` be the distance of the body from the centre of the star and let its linear velocity be `upsilon`, angular velocity `omega`, kinetic energy `K`, gravitational potential energy `U`, total energy `E` and angular momentum `L`. As the radius `r` of the orbit increase, determine which of the above quantities increase and which ones decrease.

Explanation

To analyze how various quantities change as the radius \( r \) of the orbit increases for a body moving around a star like the Sun, we will look at each quantity step by step.

### Step-by-Step Solution:

1. **Linear Velocity \( \upsilon \)**:
- The linear velocity \( \upsilon \) of a body in a circular orbit is given by the formula:
\[
\upsilon = \sqrt{\frac{GM}{r}}
...