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A Geometrical Study about the Biparametric Family of Anomalies in the Elliptic Two-Body Problem with Extensions to Other Families
(MDPI, 2024-02)
In the present paper, we efficiently solve the two-body problem for extreme cases such as those with high eccentricities. The use of numerical methods, with the usual variables, cannot maintain the perihelion passage ...
Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities
(Springer Nature, 2024-05-08)
The aim of this paper is the study of the robustness of classical methods defined for finding multiple roots with single multiplicity m when they are used for approximating different roots of a function having different ...
The Lyrids meteor shower: A historical perspective
(Elsevier Science Direct, 2023-10-26)
The April Lyrid meteor shower is the oldest meteor shower ever recorded continuously throughout history, dating as far back as 687 BC. Before the 20th century, historical sources only provided reports of two years of strong ...
Lipschitz continuity of the dilation of Bloch functions on the unit ball of a Hilbert space and applications
(Springer, 2024-02-13)
Let BE be the open unit ball of a complex finite- or infinite-dimensional Hilbert space.
If f belongs to the space B(BE ) of Bloch functions on BE , we prove that the dilation
map given by x → (1 − x 2)R f (x) for x ∈ ...