﻿Gravitational 
  Bearings 
  of 
  Electrical 
  Theory 
  of 
  Matter, 
  147 
  

  

  dividing 
  by 
  r 
  5f2 
  . 
  The 
  result 
  is 
  tabulated 
  here, 
  along 
  with 
  

   other 
  fixed 
  planetary 
  data 
  for 
  convenience 
  of 
  reference. 
  

  

  I. 
  Fixed 
  Planetary 
  .Data. 
  

  

  Mercury 
  

  

  Venus... 
  

  

  Earth... 
  

  

  Mars 
  ... 
  

  

  Jupiter 
  

  

  Saturn 
  

  

  Uranus 
  

  

  Neptune 
  

  

  Excentricity 
  

   of 
  orbit. 
  

  

  •2056 
  

   •0068 
  

   •0167 
  

   •0933 
  

   •0483 
  

   •0559 
  

   •0463 
  

   •0090 
  

  

  Longitude 
  of 
  

   perihelion. 
  

  

  Distance 
  

   irom 
  sun. 
  

  

  

  r. 
  

  

  o 
  

  

  75 
  

  

  0-387 
  

  

  129 
  

  

  0723 
  

  

  100 
  

  

  1-000 
  

  

  333 
  

  

  1-524 
  

  

  12 
  

  

  5-203 
  

  

  90 
  

  

  9-539 
  

  

  168 
  

  

  19-18 
  

  

  47 
  

  

  30-04 
  

  

  Perturbation 
  

   constant, 
  

  

  (=0 
  r 
  '-648r- 
  5 
  / 
  2 
  ) 
  

  

  6-95 
  

  

  1-46 
  

  

  0-648 
  

  

  0-227 
  

  

  00105 
  

  

  00023 
  

  

  00004 
  

  

  0-00013 
  

  

  Now 
  consider 
  the 
  bracketed 
  factors 
  of 
  (2). 
  We 
  see 
  that 
  

   the 
  dominating 
  part 
  of 
  both 
  of 
  these 
  factors 
  is 
  k, 
  and 
  

   that 
  whatever 
  longitude 
  is 
  chosen 
  for 
  ot 
  neither 
  factor 
  can 
  

   exceed 
  + 
  k 
  to 
  any 
  considerable 
  extent 
  ; 
  they 
  will, 
  in 
  fact, 
  

   usually 
  be 
  both 
  smaller 
  than 
  k. 
  By 
  suitable 
  choice 
  of 
  vr 
  

   either 
  of 
  the 
  factors 
  may 
  be 
  made 
  small 
  or 
  zero 
  ; 
  but 
  if 
  so, 
  

   the 
  other 
  will 
  thereby 
  usually 
  tend 
  to 
  be 
  big. 
  

  

  To 
  make 
  this 
  more 
  obtrusively 
  clear 
  we 
  might 
  write 
  them 
  

   respectively 
  

  

  — 
  k 
  sin 
  ot(1 
  + 
  \ke 
  sin 
  vr) 
  + 
  e(l 
  + 
  \k?) 
  , 
  

   k 
  cos 
  w(l 
  + 
  \ke 
  sin 
  -sr) 
  . 
  

  

  } 
  

  

  (3) 
  

  

  If 
  k 
  is 
  zero 
  or 
  small, 
  i. 
  e. 
  if 
  the 
  solar 
  system 
  is 
  nearly 
  

   at 
  rest 
  in 
  the 
  aether, 
  the 
  de 
  perturbation 
  vanishes, 
  but 
  not 
  

   the 
  d^r. 
  It 
  is 
  rather 
  remarkable 
  that 
  there 
  should 
  be 
  any 
  

   residual 
  perturbation 
  due 
  to 
  fluctuating 
  mass 
  in 
  a 
  stationary 
  

   solar 
  system. 
  But 
  of 
  course 
  the 
  velocity 
  in 
  an 
  orbit 
  with 
  

   any 
  excentricity 
  is 
  not 
  quite 
  constant, 
  and 
  the 
  equations 
  

   show 
  that 
  when 
  k 
  is 
  0, 
  whatever 
  the 
  value 
  of 
  e, 
  there 
  will 
  

   still 
  be 
  a 
  cumulative 
  din 
  (progress 
  of 
  perihelion) 
  equal 
  to 
  

   \c*?Q 
  ; 
  that 
  is, 
  \a? 
  times 
  the 
  angle 
  turned 
  through 
  by 
  the 
  

  

  