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Newton's constant of gravitation and verified numerical quadrature

Гравитационная постоянная Ньютона и верифицрованная численная квадратура

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Reliable Computing

Abstract

In this paper we describe the use of interval arithmetic in an experiment for determiningG, Newton's constant of gravitation. Using an interval version of Gaussian quadrature, we bound the effects of numerical errors and of several tolerances in the physical experiment. This allowed to identify “critical” tolerances which must be reduced in order to obtainG with the desired accuracy.

Abstract

Описывается испольэование интервальной арифметики в эксиерименте но определеник гравитапионной постоянной НяютонаG. С помощью интервального варианта квадратуры Гаусса определяются границы численных погрешностей и некоторых допусков в физическом эксперименте. Таким образом, оказалось возможным найти критические допуски, величина которых должна быть уменыцена для достижения требуемой точностнG.

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Authors and Affiliations

  1. Fachbereich Mathematik, Bergische Universität GH Wuppertal, Gaustr. 20, 42097, Wuppertal, Germany

    O. Holzmann & B. Lang

  2. Fachbereich Physik, Bergische Universität GH Wuppertal, Gaustr. 20, 42097, Wuppertal, Germany

    H. Schütt

Authors
  1. O. Holzmann
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  2. B. Lang
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  3. H. Schütt
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© O. Holzmann, B. Lang, H. Schütt, 1996

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Holzmann, O., Lang, B. & Schütt, H. Newton's constant of gravitation and verified numerical quadrature. Reliable Comput 2, 229–239 (1996). https://doi.org/10.1007/BF02391697

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  • DOI: https://doi.org/10.1007/BF02391697

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