23 pages, 16 figures, resubmitted to PSJ after responding to comments by reviewers
Normal mode oscillations in Saturn excite density and bending waves in the C Ring, providing a valuable window into the planet's interior. Saturn's fundamental modes (f modes) excite the majority of the observed waves, while gravito-inertial modes (rotationally modified g modes) associated with stable stratification in the deep interior provide a compelling explanation for additional density waves with low azimuthal wavenumbers m. However, multiplets of density waves with nearly degenerate frequencies, including an m=3 triplet, still lack a definitive explanation. We investigate the effects of rapid and differential rotation on Saturn's oscillations, calculating normal modes for independently constrained interior models. We use a non-perturbative treatment of rotation that captures the full effects of the Coriolis and centrifugal forces, and consequently the mixing of sectoral f modes with g modes characterized by very different spherical harmonic degrees. Realistic profiles for differential rotation associated with Saturn's zonal winds can enhance these mode interactions, producing detectable oscillations with frequencies separated by less than 1%. Our calculations demonstrate that a three-mode interaction involving an f mode and two g modes can feasibly explain the finely split m=3 triplet, although the fine-tuning required to produce such an interaction generally worsens agreement with seismological constraints provided by m=2 density waves. Our calculations additionally demonstrate that sectoral f mode frequencies are measurably sensitive to differential rotation in Saturn's convective envelope. Finally, we find that including realistic equatorial antisymmetry in Saturn's differential rotation profile couples modes with even and odd equatorial parity, producing oscillations that could in principle excite both density and bending waves simultaneously.
30 pages, 19 figures, Accepted for publication in MNRAS
We reliably extend the stellar mass-size relation over $0.2\leq z \leq2$ to low stellar mass galaxies by combining the depth of Hubble Frontier Fields (HFF) with the large volume covered by CANDELS. Galaxies are simultaneously modelled in multiple bands using the tools developed by the MegaMorph project, allowing robust size (i.e., half-light radius) estimates even for small, faint, and high redshift galaxies. We show that above 10$^7$M$_\odot$, star-forming galaxies are well represented by a single power law on the mass-size plane over our entire redshift range. Conversely, the stellar mass-size relation is steep for quiescent galaxies with stellar masses $\geq 10^{10.3}$M$_\odot$ and flattens at lower masses, regardless of whether quiescence is selected based on star-formation activity, rest-frame colours, or structural characteristics. This flattening occurs at sizes of $\sim1$kpc at $z\leq1$. As a result, a double power law is preferred for the stellar mass-size relation of quiescent galaxies, at least above 10$^7$M$_\odot$. We find no strong redshift dependence in the slope of the relation of star-forming galaxies as well as of high mass quiescent galaxies. We also show that star-forming galaxies with stellar masses $\geq$10$^{9.5}$M$_\odot$ and quiescent galaxies with stellar masses $\geq10^{10.3}$M$_\odot$ have undergone significant size growth since $z\sim2$, as expected; however, low mass galaxies have not. Finally, we supplement our data with predominantly quiescent dwarf galaxies from the core of the Fornax cluster, showing that the stellar mass-size relation is continuous below 10$^7$M$_\odot$, but a more complicated functional form is necessary to describe the relation.
Statistical studies of astronomical data sets, in particular of cataloged properties for discrete objects, are central to astrophysics. One cannot model those objects' population properties or incidences without a quantitative understanding of the conditions under which these objects ended up in a catalog or sample, the sample's selection function. As systematic and didactic introductions to this topic are scarce in the astrophysical literature, we aim to provide one, addressing generically the following questions: What is a selection function? What arguments $\vec{q}$ should a selection function depend on? Over what domain must a selection function be defined? What approximations and simplifications can be made? And, how is a selection function used in `modelling'? We argue that volume-complete samples, with the volume drastically curtailed by the faintest objects, reflect a highly sub-optimal selection function that needlessly reduces the number of bright and usually rare objects in the sample. We illustrate these points by a worked example, deriving the space density of white dwarfs (WD) in the Galactic neighbourhood as a function of their luminosity and Gaia color, $\Phi_0(M_G,B-R)$ in [mag$^{-2}$pc$^{-3}$]. We construct a sample of $10^5$ presumed WDs through straightforward selection cuts on the Gaia EDR3 catalog, in magnitude, color, parallax, and astrometric fidelity $\vec{q}=(m_G,B-R,\varpi,p_{af})$. We then combine a simple model for $\Phi_0$ with the effective survey volume derived from this selection function $S_C(\vec{q})$ to derive a detailed and robust estimate of $\Phi_0(M_G,B-R)$. This resulting white dwarf luminosity-color function $\Phi_0(M_G,B-R)$ differs dramatically from the initial number density distribution in the luminosity-color plane: by orders of magnitude in density and by four magnitudes in density peak location.
AJ, accepted, 13 pages
19 pages, 11 figures and 2 tables; submitted to MNRAS, comments and/or suggestions are welcomed!
17 pages, 15 figures, accepted to AJ
Accepted by ApJ
ApJ in press
21 pages, 11 figures. Submitted to ApJ
21 pages, 13 figures, 1 appendix. Submitted to The Astronomical Journal on Jun 11th. Comments welcome
5 pages and 2 figures
23 pages, 7 figures, 1 table. Prepared for submission to JCAP
20 pages, 14 figures. Submitted for publication in MNRAS. Catalogues can be downloaded from this https URL ; this https URL ; this https URL
16 pages, 9 figures, 1 table; Submitted to ApJ; Comments welcome!
20 pages, 17 figures. The main data reduction and analysis process ia available at this https URL
21 pages, 2 tables, 7 figures. Published open access on PSJ: this https URL
20 pages, 1 figure, accepted for publication in MNRAS
Published in Universe: this https URL
19 pages (11 pages of text), 2 tables, submitted
20 pages, 14 figures, accepted in MNRAS (07-Jun-2021)
Accepted for publication
21 pages, 7 figures, submitted to AAS journals
Accepted in ApJ
19 pages, 17 figures, accepted for publication in Icarus
In Chinese. With English abstract, containing the main results
36 pages, 17 figures, 6 tables; accepted for publication in The Astrophysical Journal Supplement Series
27 pages and 16 figures
Submitted to Publications of the Astronomical Society of Australia
31 pages, 16 figures, Accepted for publication in ApJS
7 pages, 5 figures, accepted for publication in Research in Astronomy and Astrophysics (RAA)
11 pages, 5 figures and 6 tables, not yet published, just accepted
21 pages 9 figures Astronomy & Astrophysics
23 pages, 14 figures
main text: 7 pages, 4 figures; supplemental material: 10 pages, 12 figures, 1 table. arXiv admin note: text overlap with arXiv:2012.10319
4 pages; to be published in MNRAS Letters
arXiv admin note: text overlap with arXiv:2106.04445
A&A accepted. Auxiliary files are available at this http URL (and will be available at the CDS)
17 pages, 11 figures, accepted for publication in MNRAS
10 pages, 11 figures
13 pages, 7 figures. Accepted for publication in MNRAS 14/6/21
7 pages, 4 figures, 2 tables. Accepted for publication in A&A
28 pages, 19 figures, accepted for publication in A&A
28 pages, 10 figures, 2 tables. Submitted to The Astrophysical Journal
17 pages, 21 figures, accepted in MNRAS
19 pages, 12 figures, to be submitted to ApJ
8 pages, 3 figures
45 pages + appendices; five figures
14 pages, 8 figures. Accepted for pubblication to PRD ( this https URL )
11 pages, 1 figures
34 pages, 12 figures, 2 tables of examples, submitted
arXiv admin note: text overlap with arXiv:1506.02601 , arXiv:1111.5281 by other authors
17 pages, 14 figures, 16 tables, submitted to PRD
1+23 pages, 7 figures
17 pages, 13 figures, 1 table; Comments welcome!