Results 11 to 20 of about 11,891,244 (218)
Four-body co-circular central configurations [PDF]
Nonlinearity, 2012 We classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with positive masses is a two-dimensional surface, a graph over two of the exterior side-lengths.
Gareth Owen Masaccio Eaton Roberts +1 more
exaly +7 more sources
Uniqueness results for co-circular central configurations for power-law potentials [PDF]
Physica D: Nonlinear Phenomena, 2014 Peer ...
Gareth Owen Masaccio Eaton Roberts +1 more
exaly +11 more sources
On Centered Co-circular Central Configurations of the n-Body Problem [PDF]
Journal of Dynamics and Differential Equations, 2018 We study the co-circular central configurations of the n-body problem for which the center of mass and the center of the common circle coincide. In particular, we prove that there are no central configurations of this type with all the masses equal except one.
Claudia Valls, Montserrat Corbera
exaly +6 more sources
On the Uniqueness of Co-circular Four Body Central Configurations
Archive for Rational Mechanics and Analysis, 2021 We study central configurations lying on a common circle in the Newtonian four-body problem. Using a topological argument we prove that there is at most one co-circular central configuration for each cyclic ordering of the masses on the circle.
Manuele Santoprete
exaly +5 more sources
On the centered co-circular central configurations for the n-body problem
Journal of Differential Equations, 2023 For the power-law potential $n$-body problem, we study a special kind of central configurations where all the masses lie on a circle and the center of mass coincides with the center of the circle. It is also called the centered co-circular central configuration. We get some symmetry results for such central configurations.
Zhiqiang Wang
exaly +3 more sources
Some notes on four-body co-circular central configurations
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deng, Yiyang, Li, Bingyu, Zhang, Shiqing
exaly +3 more sources
The co-circular central configurations of the 5 body problem [PDF]
Journal of Dynamics and Differential Equations, 2015 Chenciner in 2001 asked: Is the regular n-gon with equal masses the unique central configuration such that all the bodies lie on a circle, and the center of mass coincides with the center of the circle? This question has a positive answer for n = 3. Hampton in 2003 proved that also this question has a positive answer for n = 4.
Llibre, Jaume, Valls, Clàudia
openaire +3 more sources
On the centered co-circular central configurations for the n-body problem [PDF]
, 2022 For the power-law potential $n$-body problem, we study a special kind of central configurations where all the masses lie on a circle and the center of mass coincides with the center of the circle.
Wang, Zhiqiang
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Latino children are projected to make up nearly one‐third of United States (US) children by 2060, and many of their caregivers speak Spanish. Prior survey research has documented communication difficulties for Spanish‐speaking caregivers of children with cancer, but contemporary qualitative data are limited.
Jenny Ruiz +6 more
wiley +1 more source
On centered co-circular central configurations of the n-body problem
, 2021 We study the co-circular central configurations of the n-body problem for which the center of mass and the center of the common circle coincide. In particular, we prove that there are no central configurations of this type with all the masses equal ...
Valls, Clàudia +1 more
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