Would you expect the total energy of the solar system to be constant? What about the total angular momentum? Explain

Explanation

To determine whether the total energy and total angular momentum of the solar system are constant, we can analyze the forces and motions involved. Here’s a step-by-step solution:

### Step 1: Understanding Total Energy in the Solar System
The total energy of a system is the sum of its kinetic energy (due to motion) and potential energy (due to position). In the case of the solar system, the primary forces acting on the planets are gravitational forces.

**Kinetic Energy (KE)**: This is the energy due to the motion of the planets as they orbit the Sun.

**Potential Energy (PE)**: This is the gravitational potential energy between the planets and the Sun, which can be expressed as:
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