eval_lambda

The eval_lambda tool evaluates the eigenvalue \(\lambda\) appearing in Laplace’s tidal equations (see the Rotation Effects section), over a grid \(\{q\}\) of spin parameter values.

Syntax

eval_lambda l m q_min q_max n_q log_q rossby filename

Parameters

l: Harmonic degree \(\ell\)

m: Azimuthal order \(m\).

q_min: Start value in spin parameter grid

q_max: End value in spin parameter grid

n_q: Number of points in spin parameter grid

log_q: Flag to use logarithmic spacing in spin parameter grid

rossby: Flag to consider the Rossby-mode branch of Laplace’s tidal equations

filename: Name of output file (see below)

Output

The output file created by eval_lambda is in GYRE’s HDF Format, with the following data items in the root group:

Item	Symbol	Object type	Data type	Definition
`l`	\(\ell\)	attribute	integer	harmonic degree
`m`	\(m\)	attribute	integer	azimuthal order
`k`	\(k\)	attribute	integer	meridional order (see Townsend, 2003a)
`rossby`	—	attribute	logical	Rossby-mode branch flag
`q`	\(q\)	dataset	real (`n_q`)	spin parameter
`lambda`	\(\lambda\)	dataset	real (`n_q`)	eigenvalue of Laplace’s tidal equation