# Lutz or Flutz? The Tricky Physics of Figure Skating

This article was originally published at The Conversation. The publication contributed the article to Live Science's Expert Voices: Op-Ed & Insights.

Figure skating is always the highlight of the Winter Olympics. With the introduction of a team competition this year, there are five figure skating events. And we’ve already seen much drama with records broken and the retirement of veteran showman Evgeni Plushenko. He pulled out after badly landing a triple Axel – one of the sport’s signature jumps.

Spectators often take the grace and beauty of figure skating for granted. But many don’t realise the speed, power and strength needed to complete the jumps and spins. Gliding across the ice and then springing into the air to rotate three or four times before landing lightly on a single tiny blade and gliding off again is an exact science. There are many types of jumps and each jump may be done in combination with another, but two fan favourites are the Axel and Lutz.

## The Axel

This is my favourite jump. The Axel is the only jump where the skater faces forward as they take off the ice. They start by gliding backward, but then step forward and jump into the air, driving forward and upward with their arms and leg. It is a powerful jump where athletes gain great heights.

Because they are facing forward at take-off, the skaters have an extra half revolution to do before they land (all figure skating jumps land backward). So a triple Axel is really three and a half revolutions in the air. To turn so many times it is critical that skaters pull their arms and legs into a tight pencil like position. Crossing their ankles, pressing their legs tightly together and holding their elbows and hands tight against their chest, this minimises the resistance they create with the air.

The tighter a skater is, the faster they can rotate. If an arm or foot is sticking out, the mass of the arm or foot is too far from their axis of rotation and slows down the spin. Easy in principle, in reality they have to fight to keep their arms and legs in tight. Skaters must use their muscles to create centripetal force, which pulls objects towards the axis of rotation, keeping them on a circular path. If they relax, their arms and feet will want to keep moving straight and will get flung outward.

Men tend to perform triple Axels, women normally doubles. But look out for a triple Axel from Japan’s Mao Asada. She was the first woman to land a triple Axel in competition and plans to nail it again this year in pursuit of gold in the women’s free program.

David Jenkins does a triple Axel for the cameras in 1957.

## The Lutz

You will see triple and quadruple Lutzes. A feature of the Lutz that makes it challenging from a scientific standpoint is the entry. Skaters must do a long backward glide on the outside edge of one foot as they approach the jump, causing them to arc clockwise if they are on their left foot and anticlockwise if they are on their right. Then, they reach back with the other foot, tap the toe-pick into the ice and vault off it, turning in the opposite direction to the arc in the air.

This initial “counter rotation” helps skaters gain angular momentum for the jump. This is the rotational momentum of the skater about their axis of rotation – the imaginary line that runs up and down the centre of the body, which skaters spin around while in the air. Skaters get angular momentum from a twisting push off the ice as they rotate their body and arms when they jump.

In a Lutz, the counter rotation can increase the range of motion the skater turns through helping create more angular momentum for the jump. While this sounds advantageous, there is the added difficulty of staying on the outside edge as they start the counterclockwise rotation. A common problem is a “flutz”. If the skater falls or rolls onto the inside edge, it is not a true Lutz and points will be deducted.