scripts/Gravity – 1-dimensional.LACE

   1 # Gravity – 1-dimensional.LACE
   2 # The small mass m moves along the direct connection line towards mass M.
   3 # r'' = -gamma*M / r^2
   4
   5 coefficient(1): +1 -> r0' # -1 to move initially towards M, +1 to  move away from it
   6 coefficient(2): -1 -> -r0 # initial distance of m to M
   7 coefficient(3): +1 -> gamma*M # will be inverted in division
   8
   9 iintegrate r'' -> -r'
  10   IC: r0'
  11 iintegrate -r' -> r
  12   IC: -r0
  13 multiply r, r -> r^2
  14 idivide gamma*M, r^2 -> -gamma*M/r^2
  15 assign -gamma*M/r^2 -> r''
  16
  17 output(x): r      # distance
  18 invert -r' -> r'
  19 output(y): r'     # speed and direction
  20 output(z): r''    # acceleration (always towards M)