﻿Relativity 
  and 
  Electrodynamics, 
  337 
  

  

  as 
  a 
  logical 
  sequence 
  from 
  the 
  fundamental 
  equations 
  as 
  has 
  

   been 
  obtained 
  by 
  relativity 
  doctrine. 
  

  

  Our 
  results 
  for 
  the 
  apsidal 
  progression 
  per 
  revolution 
  are: 
  

   Contracted 
  electron 
  by 
  relativity 
  method, 
  

  

  / 
  2irR 
  \ 
  2 
  tt 
  

   lT(l-6 
  2 
  )*J 
  c 
  r 
  

  

  Spherical 
  electron 
  by 
  orthodox 
  method, 
  

  

  lT(l-e 
  2 
  )'J 
  

   Now 
  Einstein 
  obtained 
  

  

  i 
  27rRo 
  ") 
  26?r 
  

  

  f 
  2ttR 
  V17tt 
  

   15 
  c 
  2 
  * 
  

  

  lT(i-^ 
  2 
  )*j 
  7 
  2 
  ' 
  

  

  which 
  numerically 
  is 
  in 
  close 
  agreement 
  with 
  observations 
  

   on 
  u 
  Mercury." 
  

  

  This 
  result 
  is 
  obtained 
  by 
  assuming 
  that 
  the 
  attraction 
  

   depends 
  on 
  the 
  velocity. 
  It 
  is 
  easily 
  seen 
  from 
  our 
  analysis 
  

   that 
  if 
  

  

  fJU 
  = 
  fjL 
  (l 
  + 
  Jc 
  3 
  V 
  2 
  /c 
  2 
  ), 
  

  

  we 
  get 
  for 
  the 
  apsidal 
  progress 
  

  

  lT(l- 
  e 
  ¥J 
  c 
  * 
  { 
  * 
  kl+ 
  2 
  *>■ 
  

  

  In 
  order 
  to 
  get 
  the 
  observed 
  value 
  for 
  " 
  Mercury 
  " 
  k 
  s 
  

   would 
  have 
  to 
  be 
  5/2 
  if 
  lk 
  x 
  — 
  k 
  2 
  is 
  1/4. 
  

  

  It 
  is 
  important 
  to 
  recognize 
  that 
  it 
  is 
  only 
  by 
  introducing 
  

   either 
  explicitly 
  or 
  implicitly 
  this 
  comparatively 
  large 
  de- 
  

   pendence 
  on 
  speed, 
  of 
  the 
  attraction 
  between 
  bodies 
  that 
  

   Einstein 
  can 
  get 
  the 
  numerical 
  agreement. 
  Such 
  depen- 
  

   dence 
  based 
  on 
  the 
  known 
  forces 
  between 
  electrical 
  currents 
  

   has 
  been 
  recognized 
  before 
  now 
  in 
  the 
  theory 
  of 
  electro- 
  

   dynamics, 
  but 
  is 
  hardly 
  acceptable 
  in 
  gravitational 
  theory. 
  

   On 
  these 
  lines 
  it 
  appears 
  that 
  orthodox 
  electrodynamics 
  

   is 
  quite 
  as 
  capable 
  of 
  providing 
  an 
  explanation 
  of 
  this 
  astro- 
  

   nomical 
  feature 
  as 
  Einstein's 
  theory. 
  It 
  is, 
  however, 
  im- 
  

   portant 
  that 
  endeavour 
  should 
  be 
  made 
  to 
  determine, 
  if 
  

   possible, 
  the 
  numerical 
  value 
  of 
  ^k 
  l 
  + 
  ^k 
  3 
  —k 
  2 
  for 
  matter 
  in 
  

   bulk. 
  

  

  There 
  still 
  remains 
  the 
  question 
  of 
  the 
  effect 
  of 
  transference 
  

   in 
  space 
  as 
  suggested 
  by 
  Sir 
  Oliver 
  Lodge. 
  Eddington's 
  

   conclusions 
  on 
  this 
  problem 
  may 
  be 
  modified 
  considerably 
  

  

  