The Earth revolves around the Sun

I have already accepted and agree with the idea that the earth orbits the solar system's barycenter, and that this barycenter is not always inside the sun. I further accept and agree that the barycenter is just off of the sun's surface right now. None of this changes my acceptance of the idea that the earth revolves around the sun. I pointed out last round that the resolution speaks to the path of, not the gravitational influence of, the earth's revolution. The earth's revolution, like the moon's and the asteroids of our solar system's revolution, is a path around the sun, even though the gravitational manipulation is the solar system's barycenter. I must address some of Con's claims. Con says: "Schools don't teach this (although some enthusiastic teachers might mention it) because it would complicate the idea for students who are learning simpler concepts." My Response: Though, I'm contractually obligated to omit the name of the school system for which I teach, I can tell you that I am a high school science teacher in Maryland, and that our curriculum has had the concept of center of gravity (barycenter) as long as I've been teaching. We only teach the concept however, based on a two body interaction...like between the earth and the sun or the moon and the earth. The idea put forth by Con that the sun's barycenter is actually a sum total of all of the gravity in the solar system may not directly be reflected in our curriculum, but the idea that two objects move around a shared center of gravity (barycenter) most certainly is. So, even if I weren't an enthusiastic teacher, schools do teach this, and we actually regard this as a "simple concept" for the students...I also reject that shared center of gravity is an "advanced" concept. Con continues: "It is inaccurate to say that the Earth orbits the sun since at some points it does not orbit the sun." My Response: Orbit just means a curved path. There are NO POINTS where the earth does not have a curved path around the sun...none. Even if the barycenter is 800,000 km off of the sun's surface, the earth's curved path (revolution) is always around the sun. Con contradicts their self again: "Yes the Earth goes round the Sun but it is not orbiting the sun." My response: Really? Now who's being unscientific? If the earth goes around the sun, then its revolution is around the sun. Con is playing with definitions, but this is basically a concession that the earth revolves around the sun. I appreciate Con instigating this argument, but I think they could have made a better resolution for their argument. The current resolution is "The Earth Revolves Around The Sun." Unfortunately, Con clearly stated, "I have said previously [the earth] is orbiting the barycenter and [the earth] is revolving around the sun in the process." My Response: This is most certainly a concession that "the earth is revolving around the sun." Perhaps if Con makes a debate with the resolution "The Sun Is Why The Earth Revolves" Con can introduce the total solar system's barycenter idea without resorting to conceding the debate. The problem is that revolution is not just gravitational influence, it is also a direction...a path. I maintain that the earth revolves around the sun thanks to the solar system's barycenter.