longitude derivations

1. longitude from polygon

   See latitude from polygon

1. longitude from range

   symbol	description	unit	variable name
   \(\lambda\)	longitude	\(degE\)	longitude {:}
   \(\lambda^{B}(l)\)	longitude boundaries (\(l \in \{1,2\}\))	\(degE\)	longitude_bounds {:,2}

   The pattern : for the dimensions can represent {longitude}, or {time,longitude}.

   \[\lambda = \frac{\lambda^{B}(2) + \lambda^{B}(1)}{2}\]

2. longitude from vertical profile latitudes

   symbol	description	unit	variable name
   \(\lambda\)	single longitude for the full profile	\(degE\)	longitude {:}
   \(\lambda(i)\)	longitude for each profile point	\(degE\)	longitude {:,vertical}
   \(N\)	number of profile points

   The pattern : for the dimensions can represent {time}, or no dimensions at all.

   \begin{eqnarray} N & = & max(i, \lambda(i) \neq NaN) \\ \lambda & = & \lambda(N/2) \end{eqnarray}

3. longitude from sensor longitude

   symbol	description	unit	variable name
   \(\lambda\)	longitude	\(degE\)	longitude {:}
   \(\lambda_{instr}\)	longitude of the sensor	\(degE\)	sensor_longitude {:}

   The pattern : for the dimensions can represent {time}, or no dimensions at all.

   \[\lambda = \lambda_{instr}\]