Aale de Winkel wrote:So the earth is NOT rotating around the sun, but they both rotate around a common center of gravity, henche the elips form of the earths orbit around the sun, since because of the proximity of the center of gravity to the sun.
Actually, this offset center of gravity of the two masses isn't related to elliptical orbits, otherwise the shape of the orbit for any object would be completely determined by the mass of each object. Commets have really huge orbits that are very elliptical, but asteroids have a much "rounder" orbit. If you spin a pencil on a point very close to its eraser, you can imagine this point as the center of rotation for the sun & earth, with the earth at the lead and the sun at the eraser. Both points trace out circles, which means it would theoretically be possible for earth to have a circular orbit.
Aale de Winkel wrote:note: that is as long as one is outside the sphere. Inside the sphere the gravity is pulling from all sides. Such that eventually the "observer" at the spheres center is feeling the same gravitational pull from all directions (see some newtonian physics book for explanation of details)
More specifically, at any point inside a planetary body, the gravity felt is the gravity from the sphere formed by the distance you are away from the center of the planet (this was a problem i had in a physics class, and my teacher calculated the answer).