X-Git-Url: https://permondes.de/gitweb/Analog_Engine.git/blobdiff_plain/7fbf87e4750e1393d9b6395818b70000ca99c758..6e4089e8217c971c0154c414f5fed5d0807d179e:/AESL/TP1%2007.19%20Falling%20Mass.DANCE?ds=inline

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-# FallingParticle, VERSION 20240225
-# Calculate the deflection from the vertical caused by the Earth's rotation of a particle falling freely from rest from a height h.
-# Differential Equations:
-#    x''=-bz'+ay' # x-axis is along latitude,  directed to east
-#    y''=-ax'     # y-axis is along longitude, directed to north
-#    z''=-g+ax'   # z-axis is perpendicular to the surface of earth
-#    g: gravitational acceleration = 9,81 m/s²
-#    a: 2*omega*sin(phi)
-#    b: 2*omega*cos(phi)
-#    omega: rotation velocity of the earth = 2*pi/day
-#    phi: Latitude of location (0-90°)
-#    Initial Condition: z(0)=h
-# The full solution requires 6 INTEGRATORs, Anabrid-THAT just has 5. The deflection to longitude (y) is neglegible and can be omitted (marked #*).
-# It could also be solved in a separated algorithm omitting x.
-
-coefficient(1): a_y
-coefficient(2): a_x
-coefficient(3): b
-coefficient(4): +1 -> g
-coefficient(5): -1 -> -h
-
-iintegrate (-bz', ay') -> -x' # Input is x''
-iintegrate (-x') -> x
-
-iintegrate (y'') -> -y'
-iintegrate (-y') -> y
-
-iintegrate (z'') -> -z'
-iintegrate (-z') -> z:
-   IC: -h
-   limit: GT0 # via z to cathode of diode to SJ 
-   
--x' * a_x -> -ax'
-y'' = -ax'
--y' * a_y -> ay'
-invert (-ay') -> ay'
--z' * b -> -bz'
-isum(-ax', g) -> z'' # gives -g+ax'
-
-# x -> output (x)
-# y -> output (y)
-# z -> output (z)
-
-#OP-TIME 7,3ms