Laws of Motion
Using the conservation laws, demonstrate that the total mechanical energy of a planet of mass $$m$$ moving around the Sun along an ellipse depends only on its semi-major axis $$a.$$ Find this energy as a function of $$a.$$
Define linear momentum and state its S.I. unit.
Linear momentum of a body can be defined as the product of its mass and velocity. The S.I. unit of linear momentum is $$Kgms^{-1}$$
Using the conservation laws, demonstrate that the total mechanical energy of a planet of mass $$m$$ moving around the Sun along an ellipse depends only on its semi-major axis $$a.$$ Find this energy as a function of $$a.$$