Deborah,
     Thank you for allowing me to learn more about the remarkable Joseph He=
nry.  I am not surprised that he, like other great scientists such as Lord =
Kelvin, delved into more places that piqued his curiosity than even profess=
ional scientists have appreciated.  One of my favorite Henry quotes is:
"The seed of great discoveries are constantly floating around us, but they =
only take root in minds well prepared to receive them."  (My thanks to outs=
tanding Mercer colleague Matt Marone for first drawing my attention to this=
 wonderful truth.)
          And with your link, Deborah, you drew our attention as well, to t=
he fact that 'amateurs' should not underestimate their potential to influen=
ce the history of scientific development.
         Which brings me to your comment, Geoff, suggesting that progress a=
nymore always requires  'group' involvement.  That is not necessarily true.=
  Sometimes insights of considerable significance happen in the most unexpe=
cted places.  I will give you just one example from my own career, where it=
 was only through association with two physics students at Mercer Universit=
y-that I happened on something that I believe to be important and yet virtu=
ally unknown.  Basic understanding of the tidal force goes all the way back=
 to Isaac Newton.  The standard analysis is one that truncates a Taylor's s=
eries expansion at the first term above Newton's two-body point mass attrac=
tion that is inverse square in the separation distance of the bodies.  The =
result, which describes the influence on Earth of the Moon and/or Sun is  '=
symmetric' ; so that everybody believes the nadir component is equivalent i=
n magnitude to the zenith component.  The numerical math skills of my stude=
nts Marc Erickson and Louis McNamara, working with both (i) Excel, and (ii)=
 Mathematica, allowed representation of the tidal force components in a way=
 that clearly demonstrates its asymmetry for close spacing.  The zenith com=
ponent is indeed larger than the nadir component,  ever so much-so as the d=
istance to a tide-producing body decreases.
     When the paper  describing this at  http://physics.mercer.edu/hpage/ti=
dal%20asymmetry/asymmetry.html was submitted to an 'open source publishing'=
 venue that I have used in carte blanche fashion for years, the editors sum=
marily rejected it.  Another of my colleagues (John Lee) whom I respect gre=
atly for his unusual numerical (as well as other skills) looked at this pap=
er carefully and found nothing wrong with it.  I found his comment about th=
e paper especially interesting:  "Perhaps they are  embarrassed, assuming t=
he paper's claims could actually be true, that something of such a straight=
forward extrapolation of a centuries old concept, could have been-if not ov=
erlooked-nevertheless not publicized to become well known-- as it ought to =
be.
      Randall
Deborah,
     Thank you for allowing=
 me to learn more about the remarkable Joseph Henry.  I am not surpris=
ed that he, like other great scientists such as Lord Kelvin, delved into mo=
re places that piqued his curiosity than even professional scientists have =
appreciated.  One of my favorite Henry quotes is:
“The seed of great discoveries are =
constantly floating around us, but they only take root in minds well prepar=
ed to receive them.”  (My th=
anks to outstanding Mercer colleague Matt Marone for first drawing my atten=
tion to this wonderful truth.)
  &nb=
sp;       And with your link, Deborah, you dr=
ew our attention as well, to the fact that ‘amateurs’ should no=
t underestimate their potential to influence the history of scientific deve=
lopment.  
     =
    Which brings me to your comment, Geoff, suggesting =
that progress anymore always requires  ‘group’ involvement=
..  That is not necessarily true.  Sometimes insights of considera=
ble significance happen in the most unexpected places.  I will give yo=
u just one example from my own career, where it was only through associatio=
n with two physics students at Mercer University—that I happened on s=
omething that I believe to be important and yet virtually unknown.  Ba=
sic understanding of the tidal force goes all the way back to Isaac Newton.=
  The standard analysis is one that truncates a Taylor’s series =
expansion at the first term above Newton’s two-body point mass attrac=
tion that is inverse square in the separation distance of the bodies. =
 The result, which describes the influence on Earth of the Moon and/or Sun =
is  ‘symmetric’ ; so that everybody believes the nadir com=
ponent is equivalent in magnitude to the zenith component.  The numeri=
cal math skills of my students Marc Erickson and Louis McNamara, working wi=
th both (i) Excel, and (ii) Mathematica, allowed representation of the tida=
l force components in a way that clearly demonstrates its asymmetry for clo=
se spacing.  The zenith component is indeed larger than the nadir comp=
onent,  ever so much-so as the distance to a tide-producing body decre=
ases.  
     W=
hen the paper  describing this at  http://physics=
..mercer.edu/hpage/tidal%20asymmetry/asymmetry.html was submitted to an =
’open source publishing’ venue that I have used in carte blanch=
e fashion for years, the editors summarily rejected it.  Another of my=
 colleagues (John Lee) whom I respect greatly for his unusual numerical (as=
 well as other skills) looked at this paper carefully and found nothing wro=
ng with it.  I found his comment about the paper especially interestin=
g:  “Perhaps they are  embarrassed, assuming the paper̵=
7;s claims could actually be true, that something of such a straightforward=
 extrapolation of a centuries old concept, could have been—if not ove=
rlooked—nevertheless not publicized to become well known-- as it ough=
t to be. 
     =
 Randall <=
/o:p> 
=