7 pages, 5 figures, submitted to MNRAS. Code available at this https URL
A fundamental relation in celestial mechanics is Kepler's equation, linking an orbit's mean anomaly to its eccentric anomaly and eccentricity. Being transcendental, the equation cannot be directly solved for eccentric anomaly by conventional treatments; much work has been devoted to approximate methods. Here, we give an explicit integral solution, utilizing methods recently applied to the 'geometric goat problem' and to the dynamics of spherical collapse. The solution is given as a ratio of contour integrals; these can be efficiently computed via numerical integration for arbitrary eccentricities. The method is found to be highly accurate in practice, with our C++ implementation outperforming conventional root-finding and series approaches by a factor greater than two.
11pages, 3 figures, to be submitted to PRL
We report the first detection of the dark matter distribution around Lyman break galaxies (LBGs) at high redshift through the Cosmic Microwave Background (CMB) lensing measurements with the public {\it Planck} PR3 $\kappa$ map. The LBG sample consists of 1,473,106 objects with the median redshift of $z \sim 4$ that are identified in a total area of 305 deg$^2$ observed by the Hyper Suprime-Cam (HSC) Strategic Survey Program (SSP) survey. After careful investigations of systematic uncertainties, such as contamination from foreground galaxies and Cosmic Infrared Background (CIB), we obtain the significant detection of the CMB lensing signal at $5.1\sigma$ that is dominated by 2-halo term signals of the LBGs. Fitting a simple model consisting of the Navarro-Frenk-White (NFW) profile and the linear-bias model, we obtain the typical halo mass of $3.1^{+9.3}_{-2.8} \times 10^{11} h^{-1} M_\odot$. Combining the CMB lensing and galaxy-galaxy clustering signals on the large scales, we demonstrate the first cosmological analysis at $z\sim4$ that constrains $(\Omega_{{\rm m}0}$, $\sigma_8)$. We find that our constraint on $\sigma_8$ is roughly consistent with the {\it Planck} best-fit cosmology, while this $\sigma_8$ constraint is lower than the {\it Planck} cosmology over the $1\sigma$ level. This study opens up a new window for constraining cosmological parameters at high redshift by the combination of CMB and high-$z$ galaxies as well as studying the interplay between galaxy evolution and larges-scale structure at such high redshift, by upcoming CMB and optical and near-infrared imaging surveys.
7 pages, 4 figures. Accepted for publication in The Astrophysical Journal Letters
We independently determine the zero-point offset of the Gaia early Data Release-3 (EDR3) parallaxes based on $\sim 110,000$ W Ursae Majoris (EW)-type eclipsing binary systems. EWs cover almost the entire sky and are characterized by a relatively complete coverage in magnitude and color. They are an excellent proxy for Galactic main-sequence stars. We derive a $W1$-band Period-Luminosity relation with a distance accuracy of $7.4\%$, which we use to anchor the Gaia parallax zero-point. The final, global parallax offsets are $-28.6\pm0.6$ $\mu$as and $-25.4\pm4.0$ $\mu$as (before correction) and $4.2\pm0.5$ $\mu$as and $4.6\pm3.7$ $\mu$as (after correction) for the five- and six-parameter solutions, respectively. The total systematic uncertainty is $1.8$ $\mu$as. The spatial distribution of the parallax offsets shows that the bias in the corrected Gaia EDR3 parallaxes is less than 10 $\mu$as across $40\%$ of the sky. Only $15\%$ of the sky is characterized by a parallax offset greater than 30 $\mu$as. Thus, we have provided independent evidence that the parallax zero-point correction provided by the Gaia team significantly reduces the prevailing bias. Combined with literature data, we find that the overall Gaia EDR3 parallax offsets for Galactic stars are $[-20, -30]$ $\mu$as and 4-10 $\mu$as, respectively, before and after correction. For specific regions, an additional deviation of about 10 $\mu$as is found.
Submitted to A&A. Code and ancillary files to reproduce these results can be found at this https URL
19 pages, 6 figures, 3 tables, submitted to ApJ
20 pages, 9 figures; submitted to MNRAS
17 pages, 8 figures, accepted for publication in AJ
23 pages, 20 Figures, 3 Appendices, MNRAS accepted. The MgII absorber catalogue is publicly available at this https URL
6 pages, 5 figures submitted, comments are welcome
16 pages, 18 figures, submitted to MNRAS
19 pages, 7 figures, accepted for publication in ApJ
11 pages, 8 figures. Accepted for publication in MNRAS
7 pages, 9 figures
27 pages and 27 figures; Accepted to the A&A Journal
Accepted to The Planetary Science Journal: 2021-03-16
27 pages, 15 figures, to be submitted to the Journal of Astronomical Telescopes, Instruments, and Systems
14 pages. 12 figures. 3 tables. Accepted for publication in MNRAS
17 pages
9 pages, 7 figures
15 pages, 3 figures and 2 tables; Accepted for publication in RAA
12 pages, 5 Figures, submitted to ApJ
20 pages, 12 figures, accepted by ApJ
105 pages, 30 figures, accepted for publication in Solar Physics
Accepted for publication in Earth, Planets and Space; 26 pages, 4 figures, 2 tables
28 pages
12 pages, 10 figures
20 pages, 7 figures
Contribution to Special Issue "Relevant Tensions in the Standard Cosmological Model and Small Scale Problem of Cold Dark Matter Paradigm"
4 pages, 1 figure, submitted to MNRAS, The codes we used to produce the results of Budai et al. (2020) and this paper can be accessed at this https URL
18 pages, 11 figures, 3 tables, 2 appendices
Accepted for publication in MNRAS, 10 pages, 8 figures. Movies of the simulation available at the following links: this https URL &list=PLgaPAkHEP_RqxHJUvj9DIcsjEpWqbTPwQ&index=3 and this https URL &list=PLgaPAkHEP_RqxHJUvj9DIcsjEpWqbTPwQ&index=1
45 pages, 4 figures, Supplementary Information
16 pages, 20 figures. Movies can be found as ancillary files
8 pages, 4 figures. Submitted to ApJL
11 pages, 6 figures; accepted for publication in MNRAS
8 pages, 5 figures. Accepted for publication in MNRAS
13 pages and 8 figures. arXiv admin note: text overlap with arXiv:1906.00739
15 pages, 5 figures; to be published in MNRAS
5 pages, 2 figures
26 pages, 8 figures, contribution to "Special Issue on Nuclear astrophysics in the new era of multi-messenger astronomy", Annals of Physics
To appear in the Special Issue "High-Energy Gamma-Ray Astronomy: Results on Fundamental Questions after 30 Years of Ground-Based Observations" Universe MDPI this https URL
16 pages, 13 figures, accepted for publication in ApJ
21 pages, 15 figures, 3 tables
6 pages, 5 figures, 1 table of minima
Accepted in MNRAS Letter
11 pages, 6 figures, and 7 tables. Accepted for publication in A&A
10 pages, 18 figures, accepted for publication in Physical Review Research
14 pages, 4 figures, v2: Added references and footnote for double-copy
22 pages, 5 figures. Comments are welcome. v2: minor change on Page 11 where the bound on M_e is corrected. The analysis and conclusions are unchanged. Code publicly available at this https URL
7 pages in double column format, 1 figure
15 pages, 4 figures
17 pages, 14 figures. Initial submission
13 pages, 3 figures, 1 table