The Laws of Physics in an Animation Universe
The Physics of Howl’s Moving Castle
Studio Ghibli’s feature film Howl’s Moving Castle, directed by Hayao Miyazaki, takes place in a world that, at first glance, looks much like our own. With further inspection, however, it is filled with technologies and magic that couldn’t possibly function in our world. The film follows the story of Sophie, a young woman who is old at heart. Sophie catches the eye of the infamous wizard Howl and thereby earns the jealousy of the Witch of The Waste. The envious witch sets a curse on Sophie that turns her into an old woman, so she travels out into the Waste in hopes of breaking the spell. She ends up living with Howl in his castle, and through the events in the movie, Sophie remembers what it is to be young and the spell is broken. In the animated film Howl’s Moving Castle, a realistic set of physics is mixed with impossible physics in order to create a believable yet magical world that fully immerses the viewer in the story and action of the film.
It is important to understand the physics in Howl’s Moving Castle that are consistent with our world in order to examine the differences and impossibilities of physics in the film. While the film could be considered a cartoon, the characters in Howl’s Moving Castle are portrayed with careful realism. The strong and subtle character animation has a realistic sense of weight to it. Characters don’t bend, squash, or stretch with cartoony exaggeration, and subtle actions lend realism and life to the movement. Clothing, hair, and loose skin all drag behind a movement, following the laws of Inertia. One great example of Inertia in the film is a scene where the castle comes to a quick stop.
The looser top parts of the castle fall to forward before settling. The castle can also move faster and change direction more easily at the end of the film when it has lost mass. Air pressure is also treated realistically through the film. For example, The Witch of The Waste puffs on a cigar, and Sophie stokes a fire with a bellows.
In both cases, the sudden expansion in the volume of an airy cavity creates lower air pressure, which causes air to flow in, then when the space is rapidly compressed, the pressure rises and the air puffs out. Another example of the existence of air pressure in the movie is the differences of falling paper, and falling debris. The paper has a much higher surface area compared to its weight then the debris, so it falls with a floating motion. The debris has a smaller surface area for its weight, so it plummets straight to the ground. These accuracies in the physics of the film help to establish a believable world that the viewer can relate to. They also show that when the physics aren’t realistic, it was an intentional decision by the director. The solid use of physics in the more mundane parts of Howl’s Moving Castle offset the impossibilities in the film. this creates an interesting and engaging world for the story to take place in.
There are many aircraft and characters that fly throughout Howl’s Moving Castle, that probably couldn’t fly in reality. Two possible theories as to how they fly is that they can manipulate gravity or air pressure somehow. More importantly these show that something wouldn’t necessarily have to work in the real world for it to look good in animation. The first aircraft, the Flying Kayak, works by flapping a whale tail shaped wing on the end of a long hinged poll extremely fast.
The kayak looks to be roughly twelve feet long, and maybe eight to ten feet wide, so it is a sizable contraption. Even if it’s made of light materials, it must weigh a good deal. The kayak is shown taking off straight into the air from a standstill, flying at high speeds, hovering, and ascending with control and stability. These small kayak ships can carry three passengers with power to spare. The big problem with the kayak’s design is that the little wings couldn’t possibly provide enough upward force to lift the aircraft so easily. If they just flapped straight up and down as they appear to, the upward motion might push the kayak down more than the downward flap would push it up. Even if the wings could give lift, the poll that the wing is connected to the body of the kayak by is quite thin, so in reality it would bend when the wings flapped so fast. The next classification of airship is called the flapper. These large ships are shown loaded with bombs and steam engines, so they must be incredibly heavy. The flappers are enormous hulls with 6 sets of wings.
These wings flap slowly, not fast enough to give lift by any stretch of the imagination. They also couldn’t be taking advantage of aerodynamic lift as many real aircraft do. The next thing that can fly in the film that really shouldn’t be able to is the magicians who have turned themselves into monsters. They have large, rotund bodies and insect style wings. The wings must only be an aid in flight, because they would probably break off rather than give these monsters enough lift for flight. Finally, Heen the dog is shown flying with just his ears-something physically impossible to do. The only way to explain all of these things being able to fly with such unpractical designs is that they can manipulate the influences of gravity and air pressure around them. Even then it is unlikely that they could fly without some sort of magic involved. The real lesson that it to be gained from examining these impractical designs is that not everything in a fantasy animation has to make sense in order for it to be accepted by the audience.
The second big contradiction to the realistic physics that Howl’s Moving Castle demonstrates is the use of magic. While some of the magic doesn’t have explanations that could lie in physics, some of it looks like it could have to do with the manipulation of gravity. One small example would be when Howl uses magic to burn a curse mark off of a table. His hair rises as if the pull of gravity has been suddenly reduced. Another example is at the start of the film when Howl jumps with Sophie to get away from the blob jinn.
He is able to jump to a height above the tops of multi-story buildings and then float to the ground in the path of a parabolic arc. When he jumps up, his path of action is fairly straight, so he and Sophie must walk forward, somehow giving more push forward then the jump itself had given. The last major example of the gravity manipulation in Turnip Head, the scarecrow.
He has no way to push off the ground because he doesn’t have any joints or ability to shift his weight up and down, yet he is able to jump along without effort. He might reverse gravity’s pull in order to give himself some push off of the ground. Unlike the flying machines the use of magic there is clearly supernatural. There is no attempt made by the filmmakers to explain how the magic works, yet viewers are able to accept that the magic is strong enough to defy the forces of physics. This shows that sometimes, if how something works isn’t important to a story, it is better to just leave the explanation open.
The majority of the physics in Howl’s Moving Castle seem accurate and similar to the conditions here on earth, but exceptions like the aircraft and magic give the world of the film a sense of wonder and possibility. The accurate physics in the less showy (but equally high quality) parts of the film also help to highlight things like magic and the extraordinary technology. The film Howl’s Moving Castle is a great example of how following the laws of physics can help to create a believable world, while at the same time it shows that it’s ok to stretch and even alter physics if it’s for a good reason.