In this article, we investigate the anomalous precession of planets in the nearly Newtonian gravitational regime. This limit is obtained by application of the slow motion condition to the geodesic equations without altering the geodesic deviation equations. Using a non-standard expression for the perihelion advance from the Weyl conformastatic vacuum solution as a model, we can describe the anomaly in planetary precession compared with different observational data, consisting of ephemerides of planets and the Moon (EPM2008 and EPM2011) and Fienga et al.'s planetary and lunar ephemeris (INPOP10a). As a result, using the Levenberg–Marquardt algorithm and calculating the related χ-squared statistic, we find that the anomaly is statistically irrelevant, in accordance with the INPOP10a observations. As a complement to this work, we also perform an application to the relativistic precession of giant planets using observational data calibrated with EPM2011.

We report measurements of muon flux over the sky of the city of Bogotá at 4°35′56′′ north latitude, 74°04′51′′ west longitude, and an altitude of 2657 m above sea level, carried out with a hodoscope composed of four stations of plastic scintillators located equidistant over a distance of 4.8 m. Measurements were taken at different zenith (θ) angles within the range ${1.5}^{°} \le \theta \le {90}^{°}$, the muon flux data is statistically consistent with a ${\mathit{cos}}^2\theta$ dependence, with a ${\chi }^2$ per degree of freedom near unity. If instead, we fit to a ${\mathit{cos}}^n\theta$ we obtain $n = 2.145\pm 0.046$ with a lower ${\chi }^2$ per degree of freedom. Integrating the muon flux distribution as a function of the zenith angle over the solid angle of the upper Earth’s hemisphere allows an estimation of the atmospheric vertical muon rate at the altitude and latitude of Bogota obtaining a value of $255.1 \pm 5.8$${\mathrm{m}}^{-2}{\mathrm{s}}^{-1}$. This estimate is consistent with an independent direct measurement of the vertical muon flux with all detectors stacked horizontally. These measurements play a key role in the further development of detectors, aimed to perform muon imaging of Monserrate Hill, located in Bogotá, where the detectors will be placed at similar locations to those used in the present study.

We present the Comprehensive Analysis Toolkit for Near-field Imaging and Phase-retrieval (CATNIP), a wave-optics framework for simulating near-field X-ray imaging and benchmarking multimodal retrieval algorithms. CATNIP supports PBI, GBI, SBI, and EI under the projection approximation, integrating three retrieval algorithms within complete simulation–reconstruction pipelines. Validation against theory and Geant4 shows strong agreement, with normalized root mean square errors typically below 10%. CATNIP runs locally with optional remote server integration, enabling both rapid prototyping and large-scale studies. It provides a computationally efficient alternative to Monte Carlo methods for the design, optimization, and evaluation of near-field X-ray imaging techniques.

In this paper, we investigate the anomalous planets precession in the nearly-newtonian gravitational regime. This limit is obtained from the application of the slow motion condition to the geodesic equations without altering the geodesic deviation equations. Using a non-standard expression for the perihelion advance from the Weyl conformastatic vacuum solution as a model, we can describe the anomaly in planets precession compared with different observational data from Ephemerides of the Planets and the Moon (EPM2008 and EPM2011) and Planetary and Lunar Ephemeris (INPOP10a). As a result, using the Levenberg-Marquardt algorithm and calculating the related Chi-squared statistic, we find that the anomaly is statistical irrelevant in accordance with INPOP10a observations. As a complement to this work, we also do an application to the relativistic precession of giant planets using observational data calibrated with the EPM2011.

We present the Comprehensive Analysis Toolkit for Near-field Imaging and Phase-retrieval (CATNIP), a wave-optics framework for simulating near-field X-ray imaging and benchmarking multimodal retrieval algorithms. CATNIP supports PBI, GBI, SBI, and EI under the projection approximation, integrating three retrieval algorithms within complete simulation–reconstruction pipelines. Validation against theory and Geant4 shows strong agreement, with normalized root mean square errors typically below 10%. CATNIP runs locally with optional remote server integration, enabling both rapid prototyping and large-scale studies. It provides a computationally efficient alternative to Monte Carlo methods for the design, optimization, and evaluation of near-field X-ray imaging techniques.