* Gravitational Potential Energy: A comet has gravitational potential energy based on its distance from the Sun. The farther away it is, the more potential energy it has. Think of it like a ball held high above the ground.
* Kinetic Energy: As a comet gets closer to the Sun, its potential energy is converted into kinetic energy (the energy of motion). This is like the ball falling and gaining speed as it gets closer to the ground.
* Conservation of Energy: The total energy of the comet (potential + kinetic) remains constant throughout its orbit. Therefore, as the potential energy decreases due to closer proximity to the Sun, the kinetic energy must increase, resulting in faster movement.
Analogy: Imagine a spinning ice skater. When they pull their arms in, they spin faster. The skater is conserving their angular momentum, and by reducing their radius, they increase their rotational speed. Similarly, a comet's orbital path is a bit like the skater's spin, and the Sun's gravity acts like the skater pulling in their arms.
In short: The closer a comet gets to the Sun, the stronger the Sun's gravitational pull, causing the comet to accelerate and gain speed.