
No known species of reindeer can fly. But there are 300,000 species
of living organisms yet to be classified, and while most of these
are insects and germs, this does not completely rule out flying
reindeer, which only Santa has seen.
 There are 2 billion children (under 18) in the world. But since
Santa doesn't appear to handle Muslim, Hindu, Buddhist, and Jewish
children, that reduces the work load to 15% of the total  378 million
or so. At an average rate of 3.5 children per household, that's
91.8 million homes. One presumes there's at least one good child
in each.
 Santa has 31 hours of Christmas to work with thanks to time
zones and the rotation of the earth, assuming he travels east to
west. This works out to 822.6 visits per second. This is to say
that for each Christian household with good children, Santa has
1/1000th of a second to park, hop out of the sleigh, jump down the
chimney, fill the stockings, distribute the remaining gifts under
the tree, eat the snacks, get back up the a chimney, get back in
the sleigh, and move on to the next house. Assuming that each of
these 91.8 million homes are distributed evenly (which we know to
be false but for the sake of these calculations we will accept)
we are now talking about .78 miles per household, a total trip of
75 1/2 million miles, not counting bathroom stops. This means that
Santa's sleigh is traveling at 650 miles per second, 3000 times
the speed of sound. For comparison, the fastest man made vehicle,
the Ulysses space probe moves at a poky 27.4 MPS; the average reindeer
runs at 15 MPH.
 The sleighs payload adds another interesting element. Assuming
that each child gets nothing more than a medium sized LEGO set (2
pounds), the sleigh is carrying 321,300 tons not counting Santa,
who is inexorably described as overweight. On land, confessional
reindeer can pull no more than 300 pounds. Even granting that "flying
reindeer" (see point one) could pull TEN TIMES the usual amount,
we can not do the job with 8 or even 9, we need 214,000 reindeer.
This increases the weight, not even counting the sleigh, to 353,430
tons. Again for comparison this is 4 times the weight of the Queen
Elizabeth 2.
 353,000 tons traveling at 650 miles per second creates enormous
air resistance. This will heat the reindeer in the same manner as
a spacecraft reentering the earth+s atmosphere. The lead pair of
reindeer will absorb 14.2 QUINTILLION joules of energy. Per second.
Each. In short, they will burst into flame almost instantaneously,
exposing the next pair of reindeer, and creating deafening sonic
booms in their wake. The entire team will be vaporized within 4.26
thousands of a second. Santa, meanwhile, will be subjected to centrifugal
forces 17,500.06 times the force of gravity. A 300 pound Santa would
be pinned to the back of his sleigh by 4,315,015 pounds of force.

Conclusion: There was a Santa, but he's
dead now.
...Steve Seaman (sseaman@fundy.net) 