X-Git-Url: https://permondes.de/gitweb/Analog_Engine.git/blobdiff_plain/8f52e908448be35d3814a396e1cd4867b41faf94..44e09cca95915af9f947d571a916c76c6eff3fd6:/scripts/Gravity%20%E2%80%93%201-dimensional.LACE?ds=sidebyside

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+# Gravity – 1-dimensional.LACE
+# The small mass m moves along the direct connection line towards mass M.  
+# r'' = -gamma*M / r^2
+
+coefficient(1): +1 -> r0' # -1 to move initially towards M, +1 to  move away from it
+coefficient(2): -1 -> -r0 # initial distance of m to M
+coefficient(3): +1 -> gamma*M # will be inverted in division
+
+iintegrate r'' -> -r'
+  IC: r0'
+iintegrate -r' -> r
+  IC: -r0
+multiply r, r -> r^2
+idivide gamma*M, r^2 -> -gamma*M/r^2
+assign -gamma*M/r^2 -> r''
+
+output(x): r      # distance
+invert -r' -> r'
+output(y): r'     # speed and direction
+output(z): r''    # acceleration (always towards M)