Okay, I've never heard anything about this before=E2=80=A6Somebody =
please
explain this:

In scanning the wikipedia entry on "Escape Velocity", at
https://en.wikipedia.org/wiki/Escape_velocity , I noticed in its list
of escape velocities that for the Jovian planets alone (but not for smaller
planets) the tabulated escape velocities for each Jovian was almost exactly
identical to the escape velocity for the sun itself AT that planet's orbit.

IE:
(1) Jupiter's esc. vel. = 60.2 km/s Sol's esc. vel. =
at J's orbit = 60.4 km/s
(2) Saturn's esc. vel. = 36.09 km Sol's esc. vel. a=
t S's orbit = 36.3 km/s
(3) Uranus's esc. vel. = 21.38 km/s Sol's esc. vel. =
at U's orbit = 23.7 km/s
(4) Neptune's esc. vel. = 23.56 km/s Sol's esc. vel. =
at N's orbit = 23.7 km/s
i.e.: Sol/planet ratios very close to unity.

On the other hand, the analogous values for the smaller terrestrial
planets are in a ~Sol/planet ratio very roughly equal to ~1.5 to ~2
or so

Am I the victim of a vast astronomical hoax, or just some blitheringly
obvious well known phenomenon, or can I get a door prize at the Nobel's
shindig next year? :-)

[[Mod. note -- You're very likely just seeing approximate coincidences.

If I've done my algebra correctly the escape velocity at a distance r
from a mass M is given by sqrt(2GM/r) where G is the Newtonian
gravitational constant, so you're essentially asking where there's
any special relationship between the ratios
M_sun / planet_orbit_radius_about_sun
and
M_planet / planet_radius
There no reason to expect any such relationship, since these ratios
are set by quite different physical phenomena, and the first ratio
may change over time if the planet migrates in the solar disk during
the early formation of the solar system.
-- jt]]