﻿Gravitational 
  Bearings 
  of 
  Electrical 
  Theory 
  of 
  Matter. 
  153 
  

  

  attention 
  to 
  sign. 
  It 
  may 
  be 
  worth 
  while 
  to 
  give 
  details 
  

   just 
  for 
  one 
  case, 
  and 
  we 
  may 
  as 
  well 
  choose 
  the 
  one 
  (No. 
  3) 
  

   in 
  Table 
  III. 
  when 
  solar 
  drift 
  has 
  longitude 
  114°. 
  

   The 
  perturbations 
  are 
  

  

  ed*T=±u 
  2 
  0.k.A^ 
  

   de 
  = 
  ±u 
  2 
  d.k.By 
  ' 
  { 
  } 
  

  

  where 
  A 
  = 
  - 
  sin 
  ^ 
  + 
  {he 
  cos 
  2^ 
  + 
  ejk, 
  

  

  and 
  B=cos*r+i&?sin2*r. 
  

  

  They 
  consist 
  therefore 
  of 
  a 
  purely 
  planetary 
  factor 
  

   depending 
  only 
  on 
  u 
  and 
  T 
  ; 
  a 
  solar 
  drift 
  magnitude 
  factor 
  

   Jc 
  = 
  Y/u 
  ; 
  and 
  a 
  relative 
  direction 
  factor 
  A 
  and 
  B 
  respectively. 
  

  

  We 
  have 
  now 
  to 
  reckon 
  the 
  direction 
  factors 
  A 
  and 
  B 
  for 
  

   the 
  particular 
  case 
  marked 
  above 
  with 
  the 
  suffix 
  3. 
  

  

  For 
  the 
  values 
  of 
  \o?Q 
  and 
  e 
  see 
  Table 
  I. 
  

  

  IY. 
  Calculated 
  Perturbations 
  for 
  the 
  Case 
  of 
  

   l 
  = 
  lU°and 
  V 
  = 
  2-4xl0" 
  4 
  c. 
  

  

  -or. 
  

  

  sin 
  -or. 
  

  

  COS 
  W. 
  

  

  sin 
  2-or. 
  

  

  cos 
  2w. 
  

  

  h. 
  

  

  A. 
  

  

  •70 
  

  

  edisr. 
  de. 
  

  

  Mercury 
  —39 
  

  

  -•63 
  

  

  +•777 
  

  

  -•98 
  

  

  + 
  •21 
  

  

  1-5 
  

  

  •78 
  

  

  +81 
  ! 
  +7-2 
  

  

  Venus... 
  +15 
  

  

  + 
  •26 
  

  

  +•97 
  

  

  +•50 
  

  

  +•87 
  

  

  20 
  

  

  -•26 
  

  

  •97 
  

  

  -0-76 
  +2-8 
  

  

  Earth... 
  -14 
  

  

  -•24 
  

  

  +•97 
  

  

  -•47 
  

  

  + 
  •88 
  

  

  2-4 
  

  

  •24 
  

  

  •96 
  

  

  +0-37 
  -hi 
  5 
  

  

  Mars 
  ...180+39 
  

  

  -•63 
  

  

  -•777 
  

  

  + 
  •98 
  

  

  + 
  •21 
  

  

  30 
  

  

  •675 
  

  

  —71 
  

  

  +0-46 
  i—048 
  

  

  Jupiter. 
  180+78 
  

  

  -•978 
  

  

  -•208 
  

  

  + 
  •41 
  

  

  -•91 
  

  

  5-5 
  

  

  •93 
  

  

  -•18 
  

  

  + 
  054 
  —01 
  

  

  Saturn 
  . 
  -24 
  

  

  -•407 
  +91 
  

  

  -74 
  

  

  +•67 
  

  

  7-4 
  

  

  •48 
  

  

  •83 
  

  

  + 
  •0083 
  +'014 
  

  

  Uranus. 
  +54 
  

  

  + 
  •809 
  +-59 
  

  

  + 
  •95 
  

  

  -•31 
  

  

  10-5 
  

  

  -•84 
  

  

  •71 
  

  

  -•0035 
  i 
  + 
  -003 
  

  

  Neptune 
  —67 
  

  

  -•92 
  ! 
  + 
  -39 
  

  

  -72 
  

  

  -•70 
  

  

  13-1 
  

  

  •92 
  

  

  ,7 
  

  

  + 
  0016 
  + 
  -0007 
  

  

  The 
  last 
  two 
  columns 
  of 
  this 
  Table 
  show 
  that 
  the 
  superior 
  

   planets 
  will 
  give 
  us 
  no 
  trouble, 
  whatever 
  their 
  aspect, 
  and 
  in 
  

   spite 
  of 
  their 
  comparatively 
  large 
  value 
  of 
  k 
  ; 
  the 
  smallness 
  

   of 
  their 
  own 
  factor 
  \o?d 
  reduces 
  all 
  perturbations 
  due 
  to 
  

   varying 
  inertia 
  to 
  practically 
  nil. 
  Even 
  if 
  Y 
  were 
  as 
  high 
  

   as 
  10 
  times 
  the 
  earth's 
  orbital 
  velocity, 
  or 
  say 
  200 
  miles 
  a 
  

   second, 
  the 
  superior 
  planets 
  would 
  still 
  give 
  no 
  trouble. 
  

  

  Of 
  the 
  four 
  inner 
  planets 
  the 
  entries 
  for 
  edvr, 
  compared 
  

   with 
  those 
  in 
  Table 
  II., 
  are 
  not 
  bad 
  ; 
  but 
  the 
  de 
  are 
  deplor- 
  

   able. 
  And 
  no 
  choice 
  of 
  direction 
  or 
  of 
  drift 
  which 
  satisfies 
  

   one 
  set 
  of 
  perturbations 
  seems 
  likely 
  to 
  satisfy 
  all. 
  

  

  