The fact the earth is passing the moon in its orbit accounts for the apparent retrograde movement. It is a true optical illusion.
neptune
The motion of the moon is 2,808 a year
In this case, there is 'true' motion, and there is 'apparent' motion. To an observer on earth, the moon 'appears' to rise in the east and set in the west, just like the sun. But in fact the moon travels from west to east in its orbit around the earth. From a perspective far about the earth and to the north, the moon travels counter-clockwise around the earth. It is the relatively rapid daily spin of the earth from west to east that causes the apparent motion. The moon takes a whole month to orbit earth; in that time 27+ days have gone by on earth.
Earth exerts a pull on the moon, which keeps it orbiting the Earth. Since the Earth is so big compared to the moon, it pulls the moon toward it. In a sense, the moon is falling towards the Earth, but since the moon is also moving forwards, it ends up going around and around the Earth.
No, it is not. This will seem wrong to people who are aware that the moon's orbit it tidally locked with earth. Observed over a long enough period, the moon has a distinct wobble that comes from what is called libration. It results from the fact that the moon's orbital velocity around the earth is not constant, while the moon's rotational velocity is for all practical purposes constant. So the earth will appear to move a bit in the lunar sky. This is an apparent motion and not a true motion. It occurs to me that there must be places on the moon where the earth would appear, over the course of a lunar cycle, unable to decide whether to rise or to set! It would appear to bob up and down at the moon's horizon.
neptune
No, it rotates prograde - counter-clockwise.
Titan is not one of them, but there are several moons that revolve in retrograde orbits.The most well-known is probably Triton, the largest moon of Neptune.Triton is the only large moon in the solar system to have retrograde motion.
Retrograde motion, as opposed to prograde motion, is moving clockwise while almost all the other planets and moon move counter-clockwise.
Neptune's 7th moon Triton is in a retrograde orbit and although it isn't a moon Venus is in a retrograde orbit
If you mean the largest moon of the Neptune - its orbital period is -5.877 d (retrograde motion)
Triton, the largest moon of Neptune, is the only large moon that orbits its planet in a retrograde motion. That is to say that its orbital direction is in the opposite direction to the planets rotation. Triton is thought to have been an object 'captured' from the Kuiper belt.
The term "retrograde motion" means that a satellite (moon) moves in the opposite direction from what would be expected or common. A retrograde orbit is one opposite the rotation of the planet being orbited. This is the case with satellites of Jupiter and Saturn that are likely captured asteroids. The planet Venus exhibits retrograde rotation because it spins very slowly in a clockwise direction (as seen from above). The dwarf planet Pluto likewise rotates clockwise. All other planets display counter-clockwise rotations, and all planets orbit the Sun counter-clockwise. (The planet Uranus is tilted on its side, and could be considered retrograde as well.)
When a moon's orbit is backwards, it is referred to as a retrograde orbit.
Neptune's moon, Triton
A planet is said to be in retrograde motion when its apparent motion - the motion as seen by us, against the background stars - is from east to west.Planets spend more time in prograde motion, from west to east. The apparent movement of Sun and Moon against the background stars is also from west to east. Not to be confused with the daily motion, due to Earth's rotation.
The only large moon in the solar system with a retrograde orbit is Triton, the largest moon of Neptune.