Potentials and Motion

[Analog_Engine.git] / scripts / TP1 07.19 Falling Mass.SALSA

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-# Wiring mache ich von links nach rechts !!!
-
-...IDENTIFICATION DIVISION
-...PROGRAM-ID FallingParticle
-...VERSION 20240225
-...COMMENT Calculate the deflection from the vertical caused by the Earth's rotation of a particle falling freely from rest from a height h.
-...COMMENT Differential Equations:
-...COMMENT    x''=-bz'+ay' # x-axis is along latitude,  directed to east
-...COMMENT    y''=-ax'     # y-axis is along longitude, directed to north
-...COMMENT    z''=-g+ax'   # z-axis is perpendicular to the surface of earth
-...COMMENT    g: gravitational acceleration = 9,81 m/s²
-...COMMENT    a: 2*omega*sin(phi)
-...COMMENT    b: 2*omega*cos(phi)
-...COMMENT    omega: rotation velocity of the earth = 2*pi/day
-...COMMENT    phi: Latitude of location (0-90°)
-...COMMENT    Initial Condition: z(0)=h
-...COMMENT The full solution requires 6 INTEGRATORs, Anabrid-THAT just has 5. The deflection to longitude (y) is neglegible and can be omitted (marked #*).
-...COMMENT It could also be solved in a separated algorithm omitting x.
-
-...ENVIRONMENT DIVISION
-...TIMEBASE 1ms
-
-...DATA DIVISION
-SET COEFFICIENT.1 TO AY # 2*2pi/day*sin(phi)
-SET COEFFICIENT.2 TO AX # = AY
-SET COEFFICIENT.3 TO B  # 2*2pi/day*cos(phi)
-SET COEFFICIENT.4 TO G  # gravitational acceleration = 9,81 m/s²
-SET COEFFICIENT.5 TO H  # height h
-SET OUTPUT.X TO x
-SET OUTPUT.Y TO y
-SET OUTPUT.Z TO z
-
-INITIALIZE H by -1 TO -h # same as COMPUTE -1 TIMES H TO -h
-INITIALIZE G by +1 TO g
-
-INTEGRATE 1*-bz',1*ay' TO -x' # Input is x''
-INTEGRATE -x' TO x
-
-INTEGRATE y'' TO -y'
-INTEGRATE -y' TO y   
-
-INTEGRATE z'' TO -z' 
-INTEGRATE -z', IC:-h, LIMIT:(z >= 0) TO z
-
--x' * AX -> -ax'
--ax' = y''
--y' * AY -> -ay'
-INVERT -ay' TO ay'
--z' * B -> -bz'
-ADD 1*-ax', 1*g TO -g+ax'
--g+ax' = z''
-
-...OPERATION DIVISION
-...MODE REPEAT
-...OP-TIME 7,3ms