first script second script 1) The matlab script coriolis.m (available in the mat

Question

first script

second script

1) The matlab script coriolis.m (available in the matlab section of eclass for the course, as well as the needed functions xpriml.m and xprim2.m) computes constant angular momentum trajectories of unforced atmospheric motion. It considers the equations dv dt dx -= a cos --u dt dt dt dt Given a starting latitude, meridional and zonal components of motion (in m/s) the motion over a given integration time will be shown. Two plots are made showing the trajectories if one includes the Earth curvature metric terms and if they are deleted. Run the script first with the following initial conditions: initial latitude 60N, initial velocity u=0, v = 40 m s-run time-5 days. Compare the trajectories for the case with the curvature terms included and the case with the curvature terms neglected. Explain any differences you observe. Why is the trajectory not a closed circle? Then run the script with latitude 60N, u = 0, v = 80 m s-1. What is the difference from the first case you ran? By varying the run time

Explanation / Answer

When the trajectory includes curvature terms the trajectories will be more or less circular crisscrossing each other with open tend towards the periphery. When the trajectories does not include curvature terms the circles will be closed and is extended from the sides and flattens on the bottom and top sides. The trajectories will be concentrated more towards the periphery of the circle

When the trajectory without curvature term was ran by the first script we saw the trajectories had become elliptical now and they intersect a large portion of each other. Their open end is towards the periphery. Whereas when the trajectory with curvature term was ran by the second script they become more or less circular closed circles with trajectories criss crossing each other.

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