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

A). The sun is in the center of our solar system
B). Each planet's orbits around the sun in an ellipse
C). The planets orbit the sun in nested spheres
B). All planets, including Earth, orbit the sun

C). The planets orbit the sun in nested spheres

The correct answer is C). The heliocentric model of our solar system does not involve the planets orbiting the sun in nested spheres. Instead, the planets orbit the sun in elliptical paths (answer B). The sun being in the center of our solar system (answer A) and all planets, including Earth, orbiting the sun (answer D) are part of the accepted heliocentric model.

To determine which statement does not describe today's accepted Heliocentric model of our solar system, we need to understand what the Heliocentric model is.

The Heliocentric model is a description of our solar system that places the sun at the center, with all planets, including Earth, orbiting around it. This model was proposed by Nicolaus Copernicus in the 16th century and later refined by Johannes Kepler.

Statement A states that the sun is in the center of our solar system, which is correct and aligns with the Heliocentric model. Statement B states that each planet's orbits around the sun in an ellipse. This is also correct, as Kepler's laws of planetary motion describe the elliptical orbits of the planets.

Statement C states that the planets orbit the sun in nested spheres. This is incorrect and does not align with the Heliocentric model. In the Ptolemaic system (an alternative geocentric model), this concept was used to explain the motions of the planets. However, in the Heliocentric model, the planets do not orbit the sun in nested spheres.

Therefore, Statement C is the one that does not describe today's accepted Heliocentric model of our solar system.