The moon currently recedes from
Earth at a rate of 3.82±0.07 cm/year, according
to
Lunar
laser ranging measurements (
Dickey et al.,
1994). The current average Earth-moon distance is
384,400 km. Extrapolated backwards over 4.5 billion years,
the rate of 3.82 cm/yr would put the moon 212,500 km from
Earth. In order to be physically unacceptable, the moon has
to be within the
Roche limit of 2.97 Earth radii (
Stacey, 1977),
or about 18,920 km.
The moon recedes from Earth because of the tidal
interaction between them, and we do know that it must have
been stronger (and the rate of recession faster) in the
distant past. According to creationist arguments, the
physics of this tidal interaction is incompatible with an
evolutionary (i.e, 4.5 billion year old) Earth-moon system.
But the creationist arguments invariably use the wrong
physics to describe the tidal interaction, and therefore
lead to spurious conclusions.
Creationist arguments invariably take into account only
the effect of the tidal bulge, and ignore all dissipative
processes, such as ocean tides (creationists Walter Brown
and Don DeYoung both use this erroneous argument), but
creationist Thomas Barnes doesn't even bother with that
much detail, preferring to use vague generalizations, and
sources as much as 100 years old! While Barnes'
approach to the problem is simply useless,
Brown decides that the maximum age of the Earth-moon
system is about 1.2 billion years, and DeYoung
derives a maximum age of 1.4 billion years. It would
seem that these could hardly be happy results for somebody
who wants Earth to be no more than 10,000 years old.
DeYoung solves the problem by expediently deciding that the
moon was created in place, while Brown dances around and
pretends that the Earth-moon system could be a lot younger,
without doing a very good job of explaining why. But both
of them used extremely oversimplified models guaranteed to
underestimate the true dynamic age of the system, a fact
that seems to have escaped their collective attention
altogether.
A correct derivation of the tidal interaction shows that
it is dominated by the water oceans of Earth, an effect
totally ignored by creationists. By 1982, it was known not
only that the oceans dominated the interaction, but that
the way the continents were distributed made a big
difference (Hansen, 1982). So any attempt to
understand the long term evolution of the system has to
include plate
tectonics and continental drift. It took quite a while
to get the mathematical and computational capacity to
attack the problem seriously, but that has now been done.
The tidal evolution of the Earth-moon system has been
computed, and shown to be compatible with an evolutionary
age, because the rate of recession is not as fast early on
as some thought, although more variable over relatively
short periods than was thought (Ross & Schubert,
1989; Kagan & Maslova, 1994; Touma & Wisdom,
1994).
The creationist argument that the true age of the
Earth-moon system is much younger than allowed by standard
(i.e., evolutionary) theory is seriously flawed by virtue
of being extremely oversimplistic. A correct analysis of
the tidal interaction shows that there is no
incompatibility. Observational evidence of clues left
behind by the rotation rate of the youthful Earth confirms
the correct analysis and refutes the simplistic creationist
arguments (Sonett et al., 1996; Williams, 1997; Sonett
& Chan, 1998)
References
Dickey, J.O. et al.
"Lunar Laser Ranging: A Continuing Legacy of the Apollo
Program"
Science 265: 482-490; July 22, 1994
Hansen, Kirk S.
"Secular Effects of Oceanic Tidal Dissipation on the
Moon's Orbit and the Earth's Rotation"
Reviews of Geophysics and Space Physics 20(3): 457-480;
August, 1982
Kagan, B.A. & N.B. Maslova
"A stochastic model of the Earth-moon tidal evolution
accounting for cyclic variations of resonant properties of
the ocean: an asymptotic solution"
Earth, Moon and Planets 66: 173-188, 1994
Ross, M.N. & G. Schubert
"Evolution of the lunar orbit with temperature- and
frequency-dependent dissipation"
Journal of Geophysical Research 94(B7): 9533-9544; July 10,
1989
Sonett, C.P. et al.
"Late Proterozoic and Paleozoic Tides, Retreat of the
Moon, and Rotation of the Earth"
Science 273(5271): 100-104; July 5, 1996
Sonett, C.P. & M.A. Chan
"Neoproterozoic Earth-moon dynamics - Rework of the 900
Ma Big Cottonwood Canyon tidal laminae"
Geophysical Research Letters 25(4): 539-542; February 15,
1998
Stacey, F.D.
Physics of the Earth, John Wiley & Sons, Inc.,
1977
Appendix B, "The Roche limit for the gravitational
stability of the moon"
Touma, Jihad & Jack Wisdom
"Evolution of the Earth-moon system"
Astronomical Journal 108(5): 1943-1961; November, 1994
Williams, G.E.
"Precambrian length of day and the validity of tidal
rhythmite paleotidal values"
Geophysical Research Letters 24(4): 421-424; February 15,
1997