The initial position in the \(x\) direction and the initial velocity in the \(y\) direction of the planet can be set at \(t = 0\) time units when the planet is on the \(x\) axis. The teal line represe...The initial position in the \(x\) direction and the initial velocity in the \(y\) direction of the planet can be set at \(t = 0\) time units when the planet is on the \(x\) axis. The teal line represents the total energy of the planet as a function of distance to the central star, \(R\). What happens to the blue curve (the gravitational potential energy) as the initial speed of the planet is changed? What happens to the teal curve (the total energy) as the initial speed of the planet is changed?
