﻿336 
  Mr. 
  G. 
  W. 
  Walker 
  on 
  

  

  Expressed 
  in 
  terms 
  of 
  the 
  semi-major 
  axis 
  R 
  , 
  eccentricity 
  

   e 
  and 
  periodic 
  time 
  T, 
  the 
  progress 
  per 
  revolution 
  is 
  

  

  / 
  2*rR 
  Vftfr-ft) 
  

  

  r 
  27tR 
  yo 
  

  

  It(i-^)U 
  " 
  

  

  The 
  apses 
  therefore 
  progress 
  or 
  regress 
  according 
  as 
  

   (\k 
  1 
  — 
  k 
  2 
  ) 
  is 
  positive 
  or 
  negative. 
  

  

  We 
  have 
  no 
  knowledge 
  as 
  to 
  the 
  proper 
  forms 
  of 
  m 
  l 
  and 
  

   ra 
  2 
  for 
  matter 
  in 
  bulk, 
  but 
  the 
  following 
  are 
  results 
  for 
  

   hypothetical 
  single 
  nuclei. 
  

  

  For 
  the 
  contracted 
  electron 
  using 
  relativity 
  methods, 
  

  

  m 
  1 
  = 
  m 
  (l 
  -f 
  %v 
  2 
  /c 
  2 
  '), 
  m 
  2 
  =m 
  (l 
  + 
  ^v 
  2 
  /c 
  2 
  ), 
  

  

  so 
  that 
  W 
  — 
  #2 
  = 
  J 
  (or 
  progression). 
  

  

  From 
  the 
  primary 
  electromagnetic 
  equations 
  my 
  results* 
  

   are 
  : 
  — 
  

  

  For 
  the 
  contracted 
  conducting 
  electron 
  : 
  

  

  1 
  Q 
  A 
  1 
  

  

  m 
  1 
  = 
  m 
  (l 
  + 
  JqV 
  2 
  /c 
  2 
  ), 
  m 
  2 
  = 
  m 
  (l+ 
  qqV 
  2 
  /c 
  2 
  ), 
  

  

  so 
  that 
  1 
  . 
  

  

  f 
  Aj 
  — 
  • 
  A; 
  2 
  = 
  — 
  ^ 
  (or 
  regression) 
  . 
  

  

  For 
  Thomson's 
  electron 
  with 
  special 
  surface 
  condition 
  : 
  

  

  7 
  4 
  

  

  m 
  l 
  =m 
  (\+ 
  Jq«7c 
  2 
  ), 
  m 
  2 
  = 
  m 
  (l+ 
  Jq^' 
  

  

  so 
  that 
  I?? 
  1 
  / 
  \ 
  

  

  Pi 
  — 
  & 
  2 
  = 
  — 
  — 
  (or 
  regression) 
  . 
  

  

  For 
  spherical 
  conductor 
  which 
  does 
  not 
  change 
  in 
  shape 
  : 
  

  

  19 
  

  

  60 
  

  

  19 
  

   nh=mo(l 
  + 
  %i?l<?), 
  ^ 
  = 
  7710(1 
  -f^Vc 
  2 
  ), 
  

  

  so 
  that 
  17 
  7 
  1 
  ' 
  / 
  \ 
  

  

  i*i-*«=g0 
  ( 
  or 
  P 
  r 
  °g 
  ression 
  )- 
  

  

  This 
  last 
  case 
  is 
  numerically 
  almost 
  the 
  same 
  as 
  that 
  for 
  

   the 
  contracted 
  electron 
  by 
  relativity 
  methods. 
  This 
  is 
  im- 
  

   portant, 
  because 
  it 
  shows 
  that 
  so 
  far 
  as 
  inertia 
  enters 
  in 
  the 
  

   astronomical 
  problem 
  we 
  can 
  get 
  practically 
  the 
  same 
  result 
  

  

  * 
  Proved 
  only 
  for 
  disturbance 
  from 
  a 
  steady 
  state. 
  

  

  