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We solve explicitly a certain minimization problem for probability measures involving an interaction energy that is repulsive at short distances and attractive at large distances. We complement earlier works by showing that part of the…

Analysis of PDEs · Mathematics 2023-11-27 Rupert L. Frank , Ryan W. Matzke

Mars is the next frontier after Moon for space explorers to demonstrate the extent of human expedition and technology beyond low-earth orbit. Government space agencies as well as private space sectors are extensively endeavouring for a…

Instrumentation and Methods for Astrophysics · Physics 2020-09-21 Malaya Kumar Biswal M , Ramesh Naidu Annavarapu

Deciding feasibility of large systems of linear equations and inequalities is one of the most fundamental algorithmic tasks. However, due to data inaccuracies or modeling errors, in practical applications one often faces linear systems that…

Data Structures and Algorithms · Computer Science 2022-09-07 Kristóf Bérczi , Alexander Göke , Lydia Mirabel Mendoza-Cadena , Matthias Mnich

Construction of the precise shape of an asteroid is critical for spacecraft operations as the gravitational potential is determined by spatial mass distribution. The typical approach to shape determination requires a prolonged mapping phase…

Earth and Planetary Astrophysics · Physics 2022-03-15 Shankar Kulumani , Taeyoung Lee

We use $N_{t}$, the number of exoplanets observed in time $t$, as a science metric to study direct-search missions like Terrestrial Planet Finder. In our model, $N$ has 27 parameters, divided into three categories: 2 astronomical, 7…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Robert A. Brown

Deflection missions to near-Earth asteroids will encounter non-negligible uncertainties in the physical and orbital parameters of the target object. In order to reliably assess future impact threat mitigation operations such uncertainties…

In this paper we showed a systematic method of appropriate parameter choice for a circular pp collider by using analytical expression of beam-beam tune shift limit started from given design goal and technical limitations. A parameter space…

Accelerator Physics · Physics 2016-08-03 Feng Su , Jie Gao , Ming Xiao , Dou Wang , Yiwei Wang , Sha Bai , Tianjian Bian

We present a novel empirical method for correcting asteroid phase curves for rotational and geometrical effects using precomputed spin-and-shape models. Our approach normalizes sparse photometric data to a pole-on geometry, enabling…

Earth and Planetary Astrophysics · Physics 2025-11-21 Dagmara Oszkiewicz. Przemysław Bartczak , Milagros Colazo , Antti Penttilä

A procedure to solve few-body problems is developed which is based on an expansion over a small parameter. The parameter is the ratio of potential energy to kinetic energy for states having not small hyperspherical quantum numbers, K>K_0.…

Nuclear Theory · Physics 2010-11-11 V. D. Efros

To deflect impact-trajectory of massive km^3 and spinning asteroid by a few terrestrial radius one need a large momentum exchange. The dragging of huge spinning bodies in space by external engine seems difficult or impossible. Our solution…

Astrophysics · Physics 2008-03-11 D. Fargion

In this talk I discuss the reach of traditional methods of elementary particle physics in five broad experimental areas. For each of these areas I inquire how that reach is, or might be, extended by experimental and observational…

High Energy Physics - Experiment · Physics 2007-05-23 Martin L. Perl

Bimetric theory describes a massless and a massive spin-2 field with fully non-linear (self-)interactions. It has a rich phenomenology and has been successfully tested with several data sets. However, the observational constraints have not…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Marvin Lüben , Angnis Schmidt-May , Jochen Weller

Accurate information of inertial parameters is critical to motion planning and control of space robots. Before the launch, only a rudimentary estimate of the inertial parameters is available from experiments and computer-aided design (CAD)…

Robotics · Computer Science 2018-11-28 B. Naveen , Suril V. Shah , Arun K. Misra

The general parametrization of a black-hole spacetime in arbitrary metric theories of gravity includes an infinite set of parameters. It is natural to suppose that essential astrophysically observable quantities, such as quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2020-06-04 R. A. Konoplya , A. Zhidenko

Maximum likelihood method is widely used for parameter estimation in high energy physics. To consider various systematic uncertainties, tens of or even hundreds of nuisance parameters (NP) are introduced in a likelihood fit. The constraint…

Data Analysis, Statistics and Probability · Physics 2019-07-11 Li-Gang Xia

The problem of parameterization is often central to the effective deployment of nature-inspired algorithms. However, finding the optimal set of parameter values for a combination of problem instance and solution method is highly…

Neural and Evolutionary Computing · Computer Science 2014-06-26 Matthew Crossley , Andy Nisbet , Martyn Amos

Baryonic effects are amongst the most severe systematics to the tomographic analysis of weak lensing data which is the principal probe in many future generations of cosmological surveys like LSST, Euclid etc.. Modeling or parameterizing…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-29 Irshad Mohammed , Nickolay Y. Gnedin

In Epoch 2 of the 2024 PDC25 Hypothetical Asteroid Impact Scenario, an asteroid is confirmed to be on a collision course with the Earth, and its size and surface composition have been well characterized via a flyby mission. A kinetic…

Earth and Planetary Astrophysics · Physics 2025-09-24 Christoph M. Schäfer , Uri Malamud , Tamir Manoach , Hagai B. Perets

It is believed that some numerical technique must be employed for the determination of the system parameters of a visual binary or a star with a planet because the relevant equations are not only highly nonlinear but also transcendental…

Astrophysics · Physics 2015-06-24 Hideki Asada , Toshio Akasaka , Masumi Kasai

The orbital dynamics of a spacecraft orbiting around irregular small celestial bodies is a challenging problem. Difficulties to model the gravity field of these bodies arise from the poor knowledge of the exact shape as observed from the…

Earth and Planetary Astrophysics · Physics 2023-07-26 L. B. T. Santos , L. O. Marchi , P. A. Sousa-Silva , D. M. Sanchez , S. Aljbaae , A. F. B. A. Prado