Young system development in a cometary globule - An investigation into the eccentric disk around AT Pyx* in terms of planet formation and interaction with its surrounding environment

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Volume 707 (March 2026)

A&A, 707 (2026) A379

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Table D.1

Parameters and equations defining Eddy fit

Parameter	Symbol	Description
Centrepoints	x₀, y₀	Co−ordinates of central star in rotation map in arcseconds
Stellar mass	M_star	Mass of star in solar masses
Position angle	PA	Angle of minor axis to y-axis in degrees
Systemic velocity	v_LSR	Velocity of whole system with respect to local standard of rest in metres/second
Inclination	inc	Angle about the major axis that the disk plane is rotated in degrees
Aspect ratio	z₀	Gas emission surface height h₀ at 1^′′ for the emission surface
Flaring power	ψ	Exponent that determines the power-law for gas surface height
Taper terms	r_taper, q_taper	Terms describing an exponential taper in emission scale height for the edge of the disk region
Velocity		$v_{0} = \sqrt{\frac{G M_{} r^{2}}{{(r^{2} + z^{2})}^{3 / 2}}} \cos (ϕ) \times \sin (i n c) + v_{L S R}$ $Mathematical equation: $v_{0}=\sqrt{\frac{G M_{} r^{2}}{\left(r^{2}+z^{2}\right)^{3 / 2}}} \cos (\phi) \times \sin (inc)+v_{LSR}$$
Emission scale height		$z (r) = z_{0} \times {(\frac{r}{1^{''}})}^{ψ} \times exp (- {[\frac{r}{r_{taper}}]}^{q_{taper}})$ $Mathematical equation: $z(r)=z_{0} \times\left(\frac{r}{1^{\prime \prime}}\right)^{\psi} \times \exp \left(-\left[\frac{r}{r_{\text {taper}}}\right]^{q_{\text {taper}}}\right)$$

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