﻿156 
  1 
  he 
  Electrical 
  Theory 
  of 
  Matter. 
  

  

  be 
  appropriate; 
  for 
  the 
  attraction 
  between 
  two 
  charges 
  

  

  e 
  2 
  I 
  v 
  2 
  \ 
  

   moving 
  together 
  in 
  parallel 
  lines 
  is 
  j^ 
  2 
  ( 
  1 
  2) 
  5 
  while 
  if 
  

  

  one 
  charge 
  is 
  revolving 
  round 
  another, 
  the 
  attraction 
  between 
  

   them 
  presumably 
  has 
  for 
  its 
  main 
  term 
  

  

  ee' 
  (. 
  Vttsinfl 
  X 
  

   Kr»\ 
  c 
  2 
  J' 
  

  

  F: 
  

  

  (See 
  J. 
  J. 
  Thomson's 
  "Report 
  on 
  Electrical 
  Theories," 
  

   British 
  Association 
  volume 
  for 
  Aberdeen, 
  p. 
  110 
  (1885).) 
  

   Hence 
  if 
  

  

  (\ 
  *V* 
  /1 
  Y 
  2 
  + 
  u 
  2 
  + 
  2Yusm0\-* 
  

   = 
  m 
  (l- 
  72 
  ) 
  =m 
  ^l— 
  -- 
  2 
  j 
  

  

  m 
  

  

  then, 
  it 
  being 
  in 
  this 
  case 
  far 
  larger 
  than 
  any 
  probable 
  V, 
  

  

  ra 
  /, 
  Vusinfl 
  , 
  2Vwsin0 
  , 
  V 
  2 
  + 
  u 
  2 
  \ 
  

   Im 
  = 
  F 
  wi 
  (l 
  ~ 
  2 
  + 
  ^2 
  — 
  + 
  ~2cT~)> 
  

  

  and 
  the 
  terms 
  involving 
  sin 
  #, 
  which 
  are 
  responsible 
  for 
  the 
  

   cumulative 
  terms 
  in 
  the 
  solution 
  of 
  the 
  differential 
  equation 
  

   quoted 
  in 
  paragraph 
  1, 
  cancel. 
  

  

  Were 
  it 
  not 
  so, 
  some 
  curious 
  consequences 
  could 
  be 
  deduced 
  

   for 
  an 
  electron 
  revolving 
  at 
  immense 
  speed 
  inside 
  an 
  atom 
  

   round 
  a 
  nucleus 
  under 
  the 
  inverse-square 
  law, 
  especially 
  

   when 
  such 
  an 
  atom 
  is 
  shot 
  away 
  at 
  high 
  speed 
  ; 
  for 
  the 
  

   angle 
  6 
  or 
  2irn 
  is 
  enormous. 
  

  

  Assuming 
  it 
  possible, 
  then, 
  that 
  a 
  quantitatively 
  similar 
  

   law 
  holds 
  in 
  the 
  case 
  of 
  gravity, 
  the 
  force 
  of 
  attraction 
  

   F=7»iM/r 
  2 
  will 
  diminish 
  as 
  m 
  increases 
  (M 
  the 
  central 
  

   body, 
  moving 
  steadily 
  at 
  speed 
  V, 
  will 
  not 
  change 
  its 
  value 
  

   whatever 
  it 
  is), 
  and 
  accordingly 
  the 
  product 
  F?n 
  (involving 
  

   7m 
  2 
  ) 
  will 
  remain 
  constant 
  at 
  whatever 
  varying 
  speed 
  m 
  

   moves 
  through 
  the 
  sether 
  : 
  the 
  variation 
  of 
  the 
  gravity- 
  

   constant 
  y 
  just 
  compensating 
  for 
  the 
  double 
  variation 
  of 
  

   mass 
  m. 
  

  

  But 
  it 
  will 
  be 
  very 
  remarkable 
  if 
  such 
  compensation 
  really 
  

   occurs 
  ; 
  and 
  if 
  such 
  a 
  fact 
  is 
  established 
  it 
  may 
  begin 
  to 
  

   throw 
  some 
  light 
  on 
  the 
  family 
  relationship 
  of 
  the 
  force 
  of 
  

   gravity. 
  

  

  