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On Star Duality of Mixed Intersection Bodies [PDF]

open access: yesJournal of Inequalities and Applications, 2006
A new kind of duality between intersection bodies and projection bodies is presented. Furthermore, some inequalities for mixed intersection bodies are established.
Leng Gangsong   +2 more
doaj   +4 more sources

New inequalities for star bodies [PDF]

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we investigate the radial addition and Blaschke addition and get some new Brunn-Minkowski inequalities associated with dual quermassintegrals and chord integral for star bodies.
Yanxiong Yan, Liangcai Zhang, Min Zhou
doaj   +3 more sources

Determination of star bodies from p-centroid bodies

open access: yesProceedings of the Indian Academy of Sciences: Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lujun Guo   +2 more
exaly   +3 more sources

MINISTAR to STARLITE: Evolution of a Miniaturized Prototype for Testing Attitude Sensors [PDF]

open access: yesSensors
Star trackers are critical electro-optical devices used for satellite attitude determination, typically tested using Optical Ground Support Equipment (OGSE).
Vanni Nardino   +11 more
doaj   +2 more sources

The Orlicz centroid inequality for star bodies

open access: yesAdvances in Applied Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guangxian Zhu
exaly   +2 more sources

Detecting symmetry in star bodies

open access: yesJournal of Mathematical Analysis and Applications, 2012
It was shown by \textit{E. Makai, jun.}, \textit{H. Martini} and \textit{T. Ódor} [Mathematika 47, No. 1--2, 19--30 (2000; Zbl 1012.52008)] that a convex body \(K\) in \(\mathbb{R}^n\) is origin-symmetric if all \((n-1)\)-volume functions of parallel hyperplane sections have a critical value at the origin.
Ryabogin, D., Yaskin, V.
exaly   +3 more sources

Evolution equations of multi-planet systems with variable masses

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
In celestial mechanics and astrodynamics, the study of the dynamical evolution of exoplanetary systems is the relevant topics. For today more than 3,000 exoplanetary systems are known.
M. Minglibayev, A. Kosherbayeva
doaj   +1 more source

Structurally topological algorithm for star recognition and near-Earth space’ object detection [PDF]

open access: yesКомпьютерная оптика, 2020
When solving a variety of celestial navigation tasks there is a problem of determining parameters of spacecraft motion and onboard primary payload orientation based on the coordinates of registered star images.
I.G. Zhurkin, L.N. Chaban, P.Yu. Orlov
doaj   +1 more source

Evaporation, from exoplanets to exocomets

open access: yesComptes Rendus. Physique, 2023
Here we review the last advances in our understanding of exoplanetary upper atmospheres, with a focus on the evaporation of exoplanets orbiting close to their stars.
Lecavelier des Etangs, Alain
doaj   +1 more source

The dual Brunn–Minkowski inequality for log-volume of star bodies

open access: yesJournal of Inequalities and Applications, 2021
This paper aims to consider the dual Brunn–Minkowski inequality for log-volume of star bodies, and the equivalent Minkowski inequality for mixed log-volume.
Dandan Lai, Hailin Jin
doaj   +1 more source

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