Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Giovanni F. Gronchi"'
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c63849f326bce1873b207436c90911c5
http://arxiv.org/abs/2302.08126
http://arxiv.org/abs/2302.08126
Autor:
Giovanni F. Gronchi, Marco Fenucci
Publikováno v:
Journal of Dynamics and Differential Equations. 35:1511-1559
We consider a $$(1+N)$$ -body problem in which one particle has mass $$m_0 \gg 1$$ and the remaining N have unitary mass. We can assume that the body with larger mass (central body) is at rest at the origin, coinciding with the center of mass of the
Publikováno v:
Icarus. 384:115080
Publikováno v:
Celestial Mechanics and Dynamical Astronomy
Here we revisit an initial orbit determination method introduced by O. F. Mossotti employing four geocentric sky-plane observations and a linear equation to compute the angular momentum of the observed body. We then extend the method to topocentric o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::005fb09e54cc65549f76c48d8d504916
http://hdl.handle.net/11568/1113170
http://hdl.handle.net/11568/1113170
Publikováno v:
Journal of Differential Equations. 263:8848-8872
We consider an open connected set $\Omega$ and a smooth potential $U$ which is positive in $\Omega$ and vanishes on $\partial\Omega$. We study the existence of orbits of the mechanical system \[ \ddot{u}=U_x(u), \] that connect different components o
Publikováno v:
São Paulo Journal of Mathematical Sciences. 12:68-81
Assume that \(W:\mathbb {R}^m\rightarrow \mathbb {R}\) is a nonnegative potential that vanishes only on a finite set A with at least two elements. By direct minimization of the action functional on a suitable set of maps we give a new elementary proo
Publikováno v:
Icarus. 304:1-3
Autor:
Giovanni F. Gronchi, Laurent Niederman
We study the possible values of the nodal distance $\delta_{\rm nod}$ between two non-coplanar Keplerian trajectories ${\cal A}, {\cal A}'$ with a common focus. In particular, given ${\cal A}'$ and assuming it is bounded, we compute optimal lower and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a09b419fab719b43a9c752c2f7c625a4
Publikováno v:
Celestial Mechanics and Dynamical Astronomy. 130
We propose a method to account for the Earth oblateness effect in preliminary orbit determination of satellites in low orbits with radar observations. This method is an improvement of the one described in Gronchi et al. (Mon Not R Astron Soc 451(2):1
Autor:
Giovanni F. Gronchi, Marco Fenucci
In Fusco et al (2011 Inventiones Math. 185 283–332) several periodic orbits of the Newtonian N-body problem have been found as minimizers of the Lagrangian action in suitable sets of T-periodic loops, for a given T > 0. Each of them share the symme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa80f886cd7b79f99bbd465fac5a858b
http://arxiv.org/abs/1801.06429
http://arxiv.org/abs/1801.06429