Melancholia

When John throws Gaby's things out, he does so onto the middle of the steps, but when the house keeper comes out to take them they're on the right side of the steps.

Justine is walking out onto the front field towards the golf course and lake at night.

As she is looking up at the planet a crew person is seen walking between two hedges to the upper right.

The picture of the interactions between both planet orbits taken from internet shows only the trajectory of the fly-by planet changes because of the gravitational forces and there's no effect on the earth orbit.

According to the laws of physics it is wrong.

Both planets trajectories should be affected, the lighter planet trajectory would get affected the most.

One cannot view the same constellation (Scorpius) at the same location in the celestial sky from late evening to early morning due to the Earth's rotation.

The speed at which Melancholia is said to recede from the earth is incredibly slow (but necessary for it to make a U-turn).

At such speed, it shouldn't have enough kinetic energy to clear the orbit of Mars, and will have been a constant feature of our solar system, easily spotted in the sky since forever.

Melancholia is said to have "hidden behind the sun", then turn "from black to blue".

There are many reasons because of which a close-by celestial object can remain undetected for a long time, but this isn't one of them.

An object coming out from behind the sun would have been in full solar light, bright and clearly visible to the naked eye at either dusk or dawn.

During the fly-by, Melancholia is shown to become apparently smaller by more than 5% (diameter) in 5 minutes, when traveling at a known speed.

Calculation shows that it is roughly 5 earth radii away.

It should have taken up large portions of the sky at this distance (more like what is shown at the end of the movie) and would have had catastrophic effects on the earth, even if only flying by.

There is no reason for Melancholia to cause electricity problems on earth.

However, its gravitational pull would have caused earthquakes and volcanic eruptions due to tidal forces.

These would have been globally destructive long before any actual collision.

During the collision scene, debris is shown to fly from the direction of impact.

Not only is Melancholia depicted as too far away for there to be any actual collision at this time, any flying debris (before or during impact) would have flown towards Melancholia, not away from it, due to gravitational pull.

A syzygy exact enough to block the light from Antares is an almost-unheard-of astronomical coincidence.

Melancholia is also said to have been behind the sun (another syzygy) and having close fly-bys with several different planets.

Each of these events separately, let alone together, is an astronomical near-impossibility, even before taking into account the collision with earth.

When Claire is putting Justine in the bed, Justine is placed in the bed asleep facing away from the door.

In the next shot she is facing the door.

Then away from the door, and again back to the door.

She is asleep the entire time.

The planet Melancholia disrupts all electricity in and around the house, including the electrical systems in the cars in the driveway.

However, Claire is able to jump in an electric golf cart and drive away with no problem.