On the Interpretation of Velocity Residuals in Protoplanetary Disks
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909891227025408 |
|---|---|
| author | Aizawa, Masataka Orihara, Ryuta |
| author_facet | Aizawa, Masataka Orihara, Ryuta |
| contents | We present a first-order analytical model for line-of-sight velocity residuals, defined as the difference between observed velocities and those predicted by a fiducial model, assuming a flared, nearly axisymmetric disk with the perturbations in disk surface height $δh(r)$, inclination $δi(r)$, and position angle $δ\mathrm{PA}(r)$. Introducing projection-deprojection mapping between sky-plane and disk-frame coordinates, we demonstrate that the normalized velocity residuals exhibit Fourier components up to the third harmonic ($\sin3ϕ$ and $\cos3ϕ$). Moreover, we show that the radial profiles of $δh(r)$, $δi(r)$, and $δ\mathrm{PA}(r)$ can be uniquely recovered from the data by solving a linear inverse problem. For comparison, we highlight factors that are not considered in previous models. We also outline how our framework can be extended beyond the first-order residuals and applied to additional observables, such as line intensities and widths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23287 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Interpretation of Velocity Residuals in Protoplanetary Disks Aizawa, Masataka Orihara, Ryuta Earth and Planetary Astrophysics Solar and Stellar Astrophysics We present a first-order analytical model for line-of-sight velocity residuals, defined as the difference between observed velocities and those predicted by a fiducial model, assuming a flared, nearly axisymmetric disk with the perturbations in disk surface height $δh(r)$, inclination $δi(r)$, and position angle $δ\mathrm{PA}(r)$. Introducing projection-deprojection mapping between sky-plane and disk-frame coordinates, we demonstrate that the normalized velocity residuals exhibit Fourier components up to the third harmonic ($\sin3ϕ$ and $\cos3ϕ$). Moreover, we show that the radial profiles of $δh(r)$, $δi(r)$, and $δ\mathrm{PA}(r)$ can be uniquely recovered from the data by solving a linear inverse problem. For comparison, we highlight factors that are not considered in previous models. We also outline how our framework can be extended beyond the first-order residuals and applied to additional observables, such as line intensities and widths. |
| title | On the Interpretation of Velocity Residuals in Protoplanetary Disks |
| topic | Earth and Planetary Astrophysics Solar and Stellar Astrophysics |
| url | https://arxiv.org/abs/2507.23287 |