A. C. Clarke's Space Odyssey and Newton's law of gravity

Bartoň, Stanislav; Renčín, Lukáš

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Displaying similar documents to “A. C. Clarke's Space Odyssey and Newton's law of gravity”

Aerodynamic deceleration at velocities near the escape velocity

Bartoň, Stanislav

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This article presents basic procedures for calculating the trajectory of a spaceship that uses only the Earth’s atmosphere to reduce its speed, allowing it to land on the Earth’s surface successfully. The first flight of the program, which took place from November 16 to December 11 2022, was used as a template for the calculations. All calculations are performed in the symbolic algebra program Maple. To simplify the calculations, forces that have a less significant impact on the shape...

Analytical View of Sir Isaac Newton's Principia

Henry Brougham, Edward John Routh

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Implementation of full linearization in semismooth Newton method for 2D contact problem

Foltyn, Ladislav, Vlach, Oldřich

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To solve the contact problems by using a semismooth Newton method, we shall linearize stiffness and mass matrices as well as contact conditions. The latter are prescribed by means of mortar formulation. In this paper we describe implementation details.

On the truncated-Newton approach for the hydropower generation management.

Laureano F. Escudero (1983)

Qüestiió

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A convergence analysis of Newton-like methods for singular equations using outer or generalized inverses

Ioannis K. Argyros (2005)

Applicationes Mathematicae

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The Newton-Kantorovich approach and the majorant principle are used to provide new local and semilocal convergence results for Newton-like methods using outer or generalized inverses in a Banach space setting. Using the same conditions as before, we provide more precise information on the location of the solution and on the error bounds on the distances involved. Moreover since our Newton-Kantorovich-type hypothesis is weaker than before, we can cover cases where the original Newton-Kantorovich...

A general semilocal convergence result for Newton’s method under centered conditions for the second derivative

José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein...

Newton Polyhedra and Irreducibility.

Aleksandar Lipkovski (1988)

Mathematische Zeitschrift

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A general semilocal convergence result for Newton’s method under centered conditions for the second derivative

José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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Fractal Newton basins.

Sahari, M.L., Djellit, I. (2006)

Discrete Dynamics in Nature and Society

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A majorant principle for multipoint iterations without memory

J. Trojan (1980)

Applicationes Mathematicae

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