The theory of kinks - I. A semi-analytic model of velocity perturbations due to planet-disc interaction
Abstract
A new technique to detect protoplanets is by observing the kinematics of the surrounding gas. Gravitational perturbations from a planet produce peculiar 'kinks' in channel maps of different gas species. In this paper, we show that such kinks can be reproduced using semi-analytic models for the velocity perturbation induced by a planet. In doing so we (i) confirm that the observed kinks are consistent with the planet-induced wake; (ii) show how to quantify the planet mass from the kink amplitude; in particular, we show that the kink amplitude scales with the square root of the planet mass for channels far from the planet velocity, steepening to linear as the channels approach the planet; and (iii) show how to extend the theory to include the effect of damping, which may be needed in order to have localized kinks.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- July 2021
- DOI:
- 10.1093/mnras/stab1145
- arXiv:
- arXiv:2103.00016
- Bibcode:
- 2021MNRAS.504.5444B
- Keywords:
-
- methods: analytical;
- planets and satellites: detection;
- planet-disc interactions;
- protoplanetary discs;
- Astrophysics - Earth and Planetary Astrophysics
- E-Print:
- Submission to MNRAS Accepted