Still Thinking -The Logistics of Santa's Delivery Service

Two scientists, Joel Potischman and Bruce Handy have computed a speed and payload performance criteria for Santa's sleigh. In case you think I am just making this up the “official” website is listed below.* Their calculations are as follows:

The Number of Destinations

• ·       Humans in the world: 6 billion. (this was computed some years ago.)
• ·       Children, under 18 years of age: 2 billion.
• ·       Children whose parents are Christian: 33%.
• ·       Maximum number of children who might receive gifts: 667 million.
• ·       Average number of children per household: 3.5.
• ·       Number of destinations where Santa might deliver presents: 189 million.  However, there are 33 million Eastern Orthodox children which Santa would handle on his second trip on January 5^th. The Eastern Orthodox Church doesn’t follow the Gregorian calendar; the current gap between the calendars is 12 days.

Total number of destinations where Santa delivers gifts: 156 million.

The Time it Takes

Santa cannot arrive until the children are asleep. Suggesting that he starts to distribute gifts in each time zone at 9pm local time and as long as the entire job is finished before the children wake up in the last zone, assuming that the children sleep for 7 hours, he has 31 hours to finish his deliveries.

This means he has to visit 1,398 homes per second. Which gives him 715 microseconds in which to decelerate the sleigh, land on the roof, walk to the chimney, slide down the chimney, distribute the presents and retrace his steps. However, there are some adjustments if one considers that:

·       Santa's competitor Befana distributes gifts in Italy.

·       Santa distributes some gifts on Boxing Day to poor children in some countries.

·       Santa distributes some gifts in bulk quantities, children's hospitals etc. before Christmas.

·       Sinter Klass distributes some gifts on December 5 to children in Belgium, Germany and Holland.

Which reduces the number to 1,000 households per second.

The Distance Travelled:

Assuming that Antarctica is uninhabited and ignoring inland lakes, the total inhabited land on earth is about 79.3 million square miles.  If the destinations are evenly distributed over the available land, the average distance between destinations is 0.71 miles. So the total distance travelled is 111 million miles – a little further than the distance from the earth to the sun!

Potischman and Handy estimated that at a speed of 650 miles a second, air resistance would cause the lead reindeer to absorb 14.3 quintillion joules of energy per second. We are not familiar with the effects of such a high energy loading. However, most probably the reindeer would be turned into charcoal in seconds, without magical protection that is.

So visiting 1,000 homes per second at the average speed of 3.6 million miles an hour he could reach the moon in 4 minutes. In terms of payload the sleigh would carry about 500,000 tons of cargo, many times the weight of the Queen Mary, which is about 100 million cubic feet of cargo, equivalent to 4,500 homes.

There are two logical explanations for these incredible figures. First, Santa Claus does not exist. Some adults believe this, but most young children don’t. Or Santa Claus has magical powers, which is obvious because he can see from his location at the North Pole, when children are sleeping and when they are awake and whether they are bad or good.  Also it is reported he can travel up a chimney simply by rubbing the side of his nose.

*Adapted from Joel Potischman & Bruce Handy, "Is there a Santa Claus," at: http://www.ucl.ac.uk

 Christopher