English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We develop an analytical model for the accretion and gravitational drag on apoint mass that moves hypersonically in the midplane of a gaseous disk with aGaussian vertical density stratification. Such a model is of interest forstudying the interaction between a planet and a protoplanetary disk, as well asthe dynamical decay of massive black holes in galactic nuclei. The modelconsiders that the flow is ballistic, and gives fully analytical expressionsfor both the accretion rate onto the point mass, and the gravitational drag itsuffers. The expressions are further simplified by taking the limits of athick, and of a thin disk. The results for the thick disk reduce correctly tothose for a uniform density environment (Cant\'o et al. 2011). We find that fora thin disk (small vertical scaleheight compared to the gravitational radius)the accretion rate is proportional to the mass of the moving object and to thesurface density of the disk, while the drag force is independent of thevelocity of the object. The gravitational deceleration of the hypersonicperturber in a thin disk was found to be independent of its parameters (i.e.mass or velocity) and depends only on the surface mass density of the disk. Thepredictions of the model are compared to the results of three-dimensionalhydrodynamical simulations, with a reasonable agreement.

Gravitational drag on a point mass in hypersonic motion within a Gaussian disk