What Goes
Around Version 1.2 Copyright ©2017 by Paul Niquette. All rights reserved. |
||

Égaré by using
ф
= 7.138
minutes to
quantize time,
inasmuch
as
that is the
interval
during which
our planet
is capable
of blocking
an asteroid at
an orbital
intersection.
And
our answer was
76,300 years
for both
intersections.
Using
the same
assumptions,
we
have these
answers
for
the What Goes Around puzzle...
...however, one assumption was not made explicit -- that the quantizing interval ф
= 7.138
minutes
for
EarthEarthEarthEarth's
year
should be
the same
at
all orbital
intersections
regardless of
the angle
at which the
near-coplanar
asteriod
approaches.
That
seems
quite
doubtful.
Consider the asteroid 1998 KY26, which has a near-osculating orbit with that of
Same for any ratios of integers representing orbital periods. Well, let's make that for "any ratios of Imagine a long-period
comet
sweeping
in
from beyond
Jupiter to cross
Earth's
orbit.
Astronomers
have determined
that the comet
has an
extremely eccentric
orbit
with a period
measured in
centuries.
Scrambling
to
ascertain
the comet's
orbital parameters,
they
report
that the perihelion
is less
than 1AU and,
most
alarmingly, its
orbital inclination
is less than
one degree!
With
just that
information,
might a
solver of the
What
Goes Around puzzle
provide a
preliminary
estimate
for the
probability of
collision?At the instant the comet arrives at an intersection, which is not yet determined, |