Two Geophysical Coincidences

Which of the following two coincidences is more "impressive"?

  (1)    gT = c          (The acceleration of gravity at the earth's
                          surface multiplied by one period of the 
                          earth's orbit equals the speed of light).

  (2)  (D/d)s = (D/d)m   (The diameter over the distance for the sun 
                          equals the same ratio for the moon.)

Of course, these "equalities" are only approximate.  Numerically we 
have roughly  

            gT                          (D/d)s               
           ----   = 1.0315            ----------  =  0.9604
            c                           (D/d)m

I suppose coincidence (2) has been historically more impressive, since 
the astonishing precision of the match is displayed so vividly during 
solar eclipes.  In contrast, it's hard to think of any physically
perceivable consequences of coincidence (1).  On the other hand, the
appearance of the physical constant c in (1) seems quite remarkable.

An interesting related question is whether such coincidences are, in 
effect, compounded by the fact that they apply to (and only to) our 
own planet Earth, which is distinguished by several other seemingly 
unique properties, not least of which is its being the only site (so 
far as we know) of the spontaneous emergence of life.

Of course, it's exceedingly well known that trying to judge the 
significance of events after they have occurred is a very tricky
undertaking.  ("Something improbable is bound to happen.")  
Nevertheless, the apprehension of "coincidences" is one of the 
foundations (maybe THE foundation) of rational thought (as well 
as much irrational thought.)

In any case, on the subject of coincidence (1), note that the orbital 
periods and surface gravities of the nine planets are listed in the 
table below.

             T          g
          Time to    Surface
          complete   gravity     T*g          T*g
          one orbit  (Earth     (year-        ---
          (years)     gravs)     gravs)        c
         ----------  -------    -------     -------
Mercury    0.241      0.380      0.09158     0.0943
Venus      0.615      0.900      0.55350     0.5701
Earth      1.000      1.000      1.00000     1.0300
Mars       1.881      0.380      0.71478     0.7362
Jupiter   11.860      2.640     31.31040    32.2497
Saturn    29.460      1.130     33.28980    34.2876
Uranus    84.010      0.890     74.76890    77.0119
Neptune  164.790      1.130    186.21270   191.7983
Pluto    248.500      0.050     12.25000    12.6175


The product T*g has units of velocity, so we can express 
it in dimensionless form if we divide it by some standard 
velocity, such as c (the speed of light).  The right hand 
column lists these dimensionless values for the nine 
planets.  As can be seen, Tg/c ranges from about 1/10 
up to nearly 200.  

For a planet of mass m and radius r in a roughly circular
orbit of radius R around a star of mass M, the surface
gravity is about  g = Gm/r^2  (where G is Newton's 
gravitational constant) and the period of revolution
is about T = 2pi r^(3/2) / sqrt(GM).  Therefore, the
product gT for this hypothetical orbiting planet is
                          ____
                         / G     / R \2
        gT   =  2pi m   / ---   ( --- )
                      \/  M R    \ r /

For example, the mean distance from the Earth to the Sun
is about R = 1.49E+11 meters, the Earth's mass is about
m = 5.98E+24 kg, the Earth's radius is about r = 6.37E+06
meters, and the Sun's mass is about M = 2.0E+30 kg.  Newton's 
constant is 6.67E-11 Nm^2/kg^2, so we have gT approximately 
3x10^8 m/sec, confirming that gT/c is about 1 for the Earth.

Are there any physical or biological reasons for us to
expect to find ourselves on a planet for which gT/c is
close to 1?  Would there be any special obstacles to the 
development of life on a planet orbiting a star if the value
of gT/c was as great as, say, 100, or as small as 1/100?