Wednesday, 24 December 2014

Santa speed calculations, NORAD tracking and links to Xmas games

santa claus

Time also for this year's update of the Santa Calculations, which I first published back in 2006 and then updated in 2010. I'm using 7 billion as the world population.

Firstly, here's the link to the Santa tracking system created by NORAD. I noticed it being publicised at Heathrow airport yesterday, too.

And my usual reminder that an ideal last minute gift is, of course, the rashbre novel - The Triangle, now also available as a Kindle download for less than a couple of quid.

For those of you who are more interested in the technology of Santa, NORAD's FAQs provide the following:
NORAD Sleigh technical data
I've again used the Joel Potischman and Bruce Handy calculations as the basis for the speed calculations, with my own adaptations:

The most notable corrections to be applied are:

- Santa delivers no gifts to naughty children (not even coal)
- Naughty to nice ratio is 1:9
- As confirmed by NORAD, one Santa distributes all of the gifts.
- There is only one family per household.
- Santa bypasses non Santa belief system houses.
- Reindeer have recently eaten fresh magic acorns.

Santa passes Big Ben
Calculation Assumptions (2014):

- World population = 7.06 billion
- Children under 18 = 2.353 billion (Hmm may be higher)
- Global Santa based belief systems: 33%
- Max children requiring delivery therefore 784 million
- Children per household: 3.5 (may seem high?)
- Number of households requiring distribution 224 million
- Naughty to nice factor applied but not many all naughty households
- Remove all naughty households (25% 0f 10%) = 5.6 million
- Eastern orthodox using Jan 5 instead of Dec 25 = 16 Million
- Target Households = 202 million on Dec 25
- Estimated child bed time 21:00 (9pm) with 7 hours sleep.

(child sleep duration on Dec 24 may also require revision)

Gives circa 31 hours (24+7) for all deliveries
Time is 1860 mins or 111,600 seconds

Average number of homes to visit per second = circa 1810.
So average delivery per household is 552 milliseconds, which is why Santa normally appears a bit blurry (I previously thought it was the sherry)

Land surface minus Antarctica is around 79 million square miles. Distribute destinations evenly = 0.7 miles between households creating a total distance of circa 110 million miles.

So 110 million miles in 31 hours = 3.6 million miles an hour or circa 1000 miles per second or Mach 4770 at a linear speed.

This explains Rudolph's red nose because of air resistance creating around 20 quintillion Joules of energy per second, which would convert a non reindeer nose to charcoal at such energy levels. I think the acceleration and deceleration per household may also need some examination.

Luckily Santa has lots of special powers so these mere physics facts are no problem to such a superhero.

2 comments:

OldLady Of The Hills said...

A Very Merry Christmas to you both, my dear.....LOVE following the Santa Map......! Thanks so much fir that link......He is already on his waaaaay.......! Big Hugs, My Dear!

rashbre said...

I'll need to rework this for 2015, with the world population now at 7.35 billion.