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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Recently, some S-stars (S4711, S62, S4714) orbiting the supermassive blackhole (SMBH) in Sgr A$^\ast$ with short orbital periods ($7.6\,\mathrm{yr}\leqP_\mathrm{b}\leq 12\,\mathrm{yr}$) were discovered. It was suggested that theymay be used to measure the general relativistic Lense-Thirring (LT) precessionsof their longitudes of ascending node $\mathit{\Omega}$ induced by the SMBH'sangular momentum $\boldsymbol{J}_\bullet$. In fact, the proposed numericalestimates hold only in the particular case of a perfect alignment of$\boldsymbol{J}_\bullet$ with the line of sight, which does not seem to be thecase. Moreover, also the inclination $I$ and the argument of perinigricon$\omega$ undergo LT precessions for an arbitrary orientation of$\boldsymbol{J}_\bullet$ in space. We explicitly show the analyticalexpressions of $\dotI^\mathrm{LT},\,\dot{\mathit{\Omega}}^\mathrm{LT},\,\omega^\mathrm{LT}$ interms of the SMBH's spin polar angles $i^\bullet,\,\varepsilon^\bullet$ byfinding the range of values for each of them in arcseconds per year($^{\prime\prime}\,\mathrm{yr}^{-1}$). For each star, the corresponding valuesof $i^\bullet_\mathrm{max},\,\varepsilon^\bullet_\mathrm{max}$ and$i^\bullet_\mathrm{min},\,\varepsilon^\bullet_\mathrm{min}$ are determined aswell, along with those $i_0^\bullet,\,\varepsilon_0^\bullet$ that cancel the LTprecessions. The LT perinigricon precessions $\dot\omega^\mathrm{LT}$ areoverwhelmed by the systematic uncertainties in the Schwarzschild ones due tothe current errors in the stars' orbital parameters and the mass of SgrA$^\ast$ itself. [Abridged]

The short-period S-stars S4711, S62, S4714 and the Lense-Thirring effect due to the spin of Sgr A$^\ast$