3. The APOLLO 11 trajectories are completely inaccurate(CRAZY EIGHT)
There is no such thing as a "crazy eight" trajectory. All spacecraft follow trajectories that are one of four conic sections - circle, ellipse, parabola, or hyperbola. The circle and parabola are special cases that are virtually nonexistent in practice, thus we are left with elliptical and hyperbolic orbits. An elliptical orbit occurs when the spacecraft is traveling at a velocity below that necessary to escape the gravity of the body about which it is orbiting. Examples include the Moon's orbit around Earth and Earth's orbit around the Sun. A hyperbolic orbit occurs when a spacecraft is traveling at a velocity exceeding escape velocity. In this case the spacecraft will follow a curved path past the planet (or moon) and then fly off into space, not to return.
The trajectory flown by the Apollo spacecraft started out as an Earth-centric elliptical orbit with an apogee (the part of the orbit farthest from Earth) that was about 1.5 times the Earth-Moon distance. A spacecraft in such an orbit will reach the distance of the Moon in about three days. If the orbit was not timed to encounter the Moon when it reached the appropriate distance, the spacecraft would have continued in its elliptical orbit. However, the orbit was timed so that when the spacecraft neared the Moon's orbit, the Moon was approaching so that it and the spacecraft arrived at the same location in space at the same time. As the spacecraft drew close to the Moon, the Moon's gravity began to dominate over Earth gravity, thus the spacecraft transitioned from an Earth-centric elliptical orbit to a Moon-centric hyperbolic orbit. The Moon-centric hyperbolic orbit took the spacecraft on a path that flew behind the Moon, as observed from Earth.
On a normal mission, the spacecraft would fire its engine when it reached its closest distance to the Moon on the far side from Earth. This would slow the spacecraft to below lunar escape velocity so that the orbit would transition from Moon-centric hyperbolic to Moon-centric elliptical. However, if the engine wasn't fired, the spacecraft would continue on its hyperbolic trajectory and fly past the Moon, eventually to escape its gravity. Had the spacecraft entered orbit, to leave orbit it would again fire its engine, but this time to speed up. Adding velocity would cause the Moon-centric elliptical orbit to transition back to Moon-centric hyperbolic. As the spacecraft flew away from the Moon, Earth gravity again began to dominate over lunar gravity. As this occurred, the spacecraft trajectory transitioned from Moon-centric hyperbolic back to Earth-centric elliptical. The spacecraft was now on the inbound part of its elliptical orbit heading back to Earth.
What you consider to be a "figure 8" trajectory is actually three different trajectories that are patched together. The spacecraft simply transitions from one to the next.