eval_tidal_coeff

Synopsis

eval_lambda ( cbar | Gbar_{1..4} | X | Y | Y^* ) [options]

Description

The eval_tidal_coeff tool evaluates one of a number of coefficients used in tidal expansions, as follows:

Label

Symbol

Description

cbar

\(\cbar_{\ell,m,k}\)

expansion coefficient for tidal potential

Gbar_1

\(\Gbar^{(1)}_{\ell,m,k}\)

expansion coefficient for secular rate-of-change of longitude of periapsis

Gbar_2

\(\Gbar^{(2)}_{\ell,m,k}\)

expansion coefficient for secular rate-of-change of semi-major axis

Gbar_3

\(\Gbar^{(3)}_{\ell,m,k}\)

expansion coefficient for secular rate-of-change of eccentricity

Gbar_4

\(\Gbar^{(4)}_{\ell,m,k}\)

expansion coefficient for secular rate-of-change of spin

X

\(X^{n,m}_{k}\)

Hansen coefficient

Y

\(\real[Y^{m}_{\ell}(\pi/2,0)]\)

spherical harmonic at equator/prime meridian

Y^*

\(\real[Y^{m*}_{\ell}(\pi/2,0)]\)

complex conjugate spherical harmonic at equator/prime meridian

The coefficient is written to standard output.

Options

-h, --help

Print a summary of options.

--R/a=R_A

Ratio of stellar radius \(R\) to orbital semi-major axis \(a\).

-e, --e=E

Orbital eccentricity \(e\).

-n, --n=N

Hansen degree \(n\).

-l, --l=L

Harmonic degree \(\ell\).

-m, --m=M

Azimuthal order \(m\)

-k, --k=K

Fourier index \(k\).

Output

The coefficient is printed to standard output.