Each statement describes today's accepted Heliocentric model of our solar system EXCEPT

- The Earth is at the center of the solar system.

To answer this question, let's first understand what the Heliocentric model means. The Heliocentric model is a description of the solar system where the Sun is at the center, and the planets revolve around it.

Now, let's analyze each statement and determine which one does not describe today's accepted Heliocentric model:

Statement 1: "The Sun is at the center of the solar system."
This statement aligns with the Heliocentric model, where the Sun is indeed at the center of the solar system. So, it describes today's accepted model.

Statement 2: "The planets revolve around the Sun in elliptical orbits."
This statement is also consistent with the Heliocentric model. According to Kepler's laws of planetary motion, planets do indeed follow elliptical orbits around the Sun. So, this statement describes today's accepted model.

Statement 3: "The Earth is at the center of the solar system."
This statement conflicts with the Heliocentric model. In the Heliocentric model, the Sun is at the center, not the Earth. Therefore, this statement does not describe today's accepted model.

Statement 4: "The Moon is a planet that revolves around the Sun."
This statement is also inconsistent with the Heliocentric model. The Moon is not considered a planet, and it revolves around the Earth, not the Sun. Consequently, this statement does not describe today's accepted model.

In conclusion, the statement that does not describe today's accepted Heliocentric model is Statement 3: "The Earth is at the center of the solar system."

To determine which statement does NOT describe today's accepted Heliocentric model of our solar system, we need to familiarize ourselves with the main features of this model. The Heliocentric model states that the Sun is at the center of our solar system, and the planets, including Earth, orbit the Sun. With this understanding, let's evaluate each statement:

1. "The Sun is at the center of our solar system." - This statement aligns with the Heliocentric model.

2. "The planets orbit the Sun." - This statement is also consistent with the Heliocentric model.

3. "The Earth is at the center of our solar system." - This statement contradicts the Heliocentric model, as it suggests a Geocentric model where Earth is the center.

4. "The Sun revolves around the Earth." - This statement also contradicts the Heliocentric model by proposing a Geocentric model.

Therefore, we can conclude that statement number 3 ("The Earth is at the center of our solar system.") does NOT describe today's accepted Heliocentric model.