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pro vyhledávání: '"A, Gronchi"'
We investigate the behaviour of two recent methods for the computation of preliminary orbits. These methods are based on the conservation laws of Kepler's problem, and enable the linkage of very short arcs of optical observations even when they are s
Externí odkaz:
http://arxiv.org/abs/2401.01210
We present a new procedure to identify observations of known objects in large data sets of unlinked detections. It begins with a Keplerian integrals method that allows us to link two tracklets, computing preliminary orbits, even when the tracklets ar
Externí odkaz:
http://arxiv.org/abs/2401.01202
In this paper we address the problem of computing a preliminary orbit of a celestial body from one topocentric position vector and a very short arc (VSA) of optical observations. Using the conservation laws of the two-body dynamics, we write the prob
Externí odkaz:
http://arxiv.org/abs/2312.14764
We consider the Keplerian distance $d$ in the case of two elliptic orbits, i.e. the distance between one point on the first ellipse and one point on the second one, assuming they have a common focus. The absolute minimum $d_{\rm min}$ of this functio
Externí odkaz:
http://arxiv.org/abs/2305.13900
Publikováno v:
A&A 672, A39 (2023)
Context. From numerical simulations, it is known that some secular resonances may affect the motion of near-Earth objects (NEOs). However, the specific location of the secular resonance inside the NEO region is not fully known, because the methods pr
Externí odkaz:
http://arxiv.org/abs/2302.08126
Publikováno v:
J. Funct. Anal. (2024)
A basic version of the P\'olya-Szeg\H{o} inequality states that if $\Phi$ is a Young function, the $\Phi$-Dirichlet energy -- the integral of $\Phi(\|\nabla f\|)$ -- of a suitable function $f\in \mathcal{V}(\mathbb{R}^n)$, the class of nonnegative me
Externí odkaz:
http://arxiv.org/abs/2206.09833
The concept of sphere of influence of a planet is useful in both the context of impact monitoring of asteroids with the Earth and of the design of interplanetary trajectories for spacecrafts. After reviewing the classical results, we propose a new de
Externí odkaz:
http://arxiv.org/abs/2205.09340
Publikováno v:
Indiana Univ. Math. J. 71 (2022), 767-784
Two related questions are discussed. The first is when reflection symmetry in a finite set of $i$-dimensional subspaces, $i\in \{1,\dots,n-1\}$, implies full rotational symmetry, i.e., the closure of the group generated by the reflections equals $O(n
Externí odkaz:
http://arxiv.org/abs/2202.04004
Autor:
Giorgio Gronchi, Axel Perini
Publikováno v:
Frontiers in Psychology, Vol 15 (2024)
Externí odkaz:
https://doaj.org/article/bc78ce02d6c14bb5aa07c65b0646e1c9
Autor:
Giorgio Gronchi, Axel Perini
Publikováno v:
Frontiers in Cognition, Vol 3 (2024)
Externí odkaz:
https://doaj.org/article/a1d8218b6914487489ce84ff7190bd2c