Question #2
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In the attached equation (to the left) we are attempting to isolate the partial geopotential per partial 
time portion of the equation but are having difficulty with the laplacian operator. 

The reason for manipulating this equation is because we needed a relationship between grvt and Z1000 and 
this is the equation we found. We are also ok with other means of finding Z1000 but we are not aware of 
any other means to the problem presented. 


Answer to #2
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You'll have to use your creativity to "solve" this problem as you aren't given enough information to come
up with an exact mathematical solution. 

One option is to create a scatterplot of the two parameters (GRVT and geopot tendency) at the 950 hPa cyclone 
center over the cyclone center of the Project 9 case study that could help you derive a linear or polynomial 
equation that can be used to convert from one to the other.

Another option is to use the GRVT value to add to the "old" GRV value at the fixed (Eulerian) earth position
at the future cyclone position (over a six-hour period). Given the new GRV value, assume that the cyclone is
circularly symmetric (a geopot contour makes a perfect circle about the cyclone center), and, if the geopot
value at some fixed radius about the cyclone center remains constant, figure out the new geopot value at the
center that, when the Laplacian of geopot is taken east-west and north-south of the cyclone center, you end
up with the new GRV value. The change of geopot from the cyclone center to the fixed radius about the cyclone
center can change either linearly or parabolically, depending on what you believe to be reasonable based on 
an inspection of the case study of Project 9. Make clear the methodology you use and its justification.


---> There is no limit to the number of questions asked on the final project...the only limit is that you have
until noon on Thursday, November 18, 2021 to ask questions.