Coriolis Effect Pascal Th\303\251riault-Lauzier C\303\251gep de Rimouski Qu\303\251bec, Canada paslau@globetrotter.net revised by Robert Israel

This worksheet demonstrates the action of Coriolis force on a projectile launched from Earth.

VectorCalculus is only used in the Model section to use vectors in an easier way. 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

This part of the code is used to compute the 3D model of the Coriolis force of a projectile from differential equations. The positive x axis is assumed to point East, the positive y axis North and the positive z axis up. The origin is at latitude \316\270 on the surface of the Earth.. Air resistance, the curvature of the Earth's surface and the decrease in gravitation with altitude are not taken into account. The units used are meters for distance and seconds for time. Here is the position vector:: PkkiWEc2Ii1JJDwsPkdGJDYlLUkieEdGJDYjSSJ0R0YkLUkieUdGJEYqLUkiekdGJEYq The velocity and acceleration vectors are obtained by differentiation: PkkiVkc2Ii1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRJIlhHRiRJInRHRiQ= PkkiQUc2Ii1JJWRpZmZHJSpwcm90ZWN0ZWRHNiVJIlhHRiRJInRHRiRGKg== The angular velocity vector of the Earth. Units are radians per second: note that the Earth turns by \317\200 radians in 12 hours, and each hour is 3600 seconds. PkkmT21lZ2FHNiItSTBkZWxheURvdFByb2R1Y3RHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YkSSxUeXBlc2V0dGluZ0c2JEYoSShfc3lzbGliR0YkNiQtSSIqRzYkRigvRipJL1ZlY3RvckNhbGN1bHVzR0YsNiRJI1BpR0YoKiQtRjA2JCIjNyIlK08hIiItSSQ8LD5HRiQ2JSIiIS1JIi1HRjE2Iy1JJGNvc0dGJDYjSSZ0aGV0YUdGJC1GQTYjLUkkc2luR0YkRkU= The Coriolis acceleration: PiZJIkZHNiI2I0kkY29yR0YlLUkyZGVsYXlDcm9zc1Byb2R1Y3RHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSSxUeXBlc2V0dGluZ0c2JEYrSShfc3lzbGliR0YlNiQtSSIqRzYkRisvRi1JL1ZlY3RvckNhbGN1bHVzR0YvNiQiIiNJIlZHRiVJJk9tZWdhR0Yl The gravitational acceleration: we assume LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=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 QyY+SSJnRzYiJCIjKSohIiIiIiI+JkkiRkdGJTYjSSVncmF2R0YlLUkkPCw+R0YlNiUiIiFGMi1JIi1HNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSS9WZWN0b3JDYWxjdWx1c0c2JEY2SShfc3lzbGliR0YlNiNGJEYp The differential equations: one for each component, saying that the acceleration is the sum of the Coriolis and gravitational accelerations. PkkkZXFzRzYiLUkkc2VxRyUqcHJvdGVjdGVkRzYkLyZJIkFHRiQ2I0kiaUdGJC1JIitHNiRGJy9JK21vZHVsZW5hbWVHRiRJL1ZlY3RvckNhbGN1bHVzRzYkRidJKF9zeXNsaWJHRiQ2JCYmSSJGR0YkNiNJJGNvckdGJEYsJiZGOTYjSSVncmF2R0YkRiwvRi07IiIiIiIk The initial conditions: we will start at height LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdGPS1JI21vR0YkNi1RIn5GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRldGPg== above the origin, with initial velocity components LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEjVnhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1JI21uR0YkNiRRIjBGJy9GNlEnbm9ybWFsRidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHRj1GPg==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEjVnlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1JI21uR0YkNiRRIjBGJy9GNlEnbm9ybWFsRidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHRj1GPg==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEjVnpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1JI21uR0YkNiRRIjBGJy9GNlEnbm9ybWFsRidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHRj1GPg==.JSFH PkkkaWNzRzYiNigvLUkieEdGJDYjIiIhRiovLUkieUdGJEYpRiovLUkiekdGJEYpJkYwRikvLS1JIkRHRiQ2I0YoRikmSSNWeEdGJEYpLy0tRjU2I0YtRikmSSNWeUdGJEYpLy0tRjU2I0YwRikmSSNWekdGJEYp Now we solve the initial value problem using dsolve, putting the result back into a vector and simplifying. QyQ+SSRzb2xHNiItSSlzaW1wbGlmeUdGJTYjLUklZXZhbEclKnByb3RlY3RlZEc2JEkiWEdGJS1JJ2Rzb2x2ZUdGJTYjPCRJJGVxc0dGJUkkaWNzR0YlIiIi

Here is a procedure that plots the projectile trajectory.until it hits the ground. We need to know at what value of t that occurs. The equation for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ== when the Coriolis force is included can't be solved in closed form, as it contains trigonometric functions of t as well as t and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRj4= terms. We therefore use the numerical solver fsolve, starting at 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 which is when the projectile would hit the ground if there were no Coriolis force. 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 Usage : plotcanon( Initial speed (m/s) , Initial angle above horizon (degrees) , Initial angle clockwise from North (degrees), Initial altitude (m) , North latitude (degrees) ) Here's an example where you can notice the effect of Coriolis force. The projectile is launched East (90 degrees from North) at 55 degrees elevation from ground level at latitude 49 degrees.. Without the Coriolis force the projectile shouldn't deviate from LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzAuRidGOUY5. The deviation is rather small: it's visible only because the scales on the x and y axes differ by a factor of over 100.. LUkqcGxvdGNhbm9uRzYiNiciJF0nIiNiIiMhKiIiISIjXA==

The following procedure takes an initial speed V (in m/sec), altitude Z0 above the target (in m), latitude Theta (in degrees North), horizontal distance dist to target (in m) and heading head to target (in degrees clockwise from North) and returns a heading, elevation angle and time of flight to hit the target. Of course, if the target is too far away it is impossible to hit, and the procedure will return an error "No solution". The calculation uses fsolve, starting with the values that would work if there were no Coriolis force. 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 For example: 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 For convenience, you can enter the input parameters in the table below and press the Go button: the elevation angle, heading and time of flight will be placed in the table below the button. Initial speed (m/sec) Initial altitude (m) Latitude (degrees N) Horizontal distance (m) Heading (degrees) use DocumentTools in # Enter Maple commands to be executed when the specified # action is carried out on the component. # Use: # Do( %component_name ); # and # Do( %component_name = value ); # to set and get properties of the component. # You can also use arbitrary expressions # involving components, e.g.: # Do( %target = %input1 + 2*%input2 ); # Note the %-prefix to each component name. # See ?CustomizingComponents for more information. Do(V0 = %V0TextArea); Do(Z0 = %Z0TextArea); Do(Theta = %ThetaTextArea); Do(Dist = %DistTextArea); Do(Head = %HeadTextArea); try Res:= aim(V0,Z0,Theta,Dist,Head); Do(%Ang1TextArea = subs(Res,ang1)); Do(%Ang2TextArea = subs(Res,ang2)); Do(%TTextArea = subs(Res,t)); catch: Do(%Ang1TextArea = "No solution"); Do(%Ang2TextArea = "No solution"); Do(%TTextArea = "No solution"); end try; end use; Elevation (degrees) Heading (degrees) Time of flight (sec)

Etchecopar, Philippe. Guide d'initiation \303\240 Maple. Rimouski: Presses p\303\251dagogiques de l'est, 2004. Wikipedia. Coriolis Effect. http://en.wikipedia.org/wiki/Coriolis_effect (February 11th 2005).

We have demonstrated that Coriolis effect has an influence on the trajectory of a projectile.

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