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N. V. Kupryaev - One of the best experts on this subject based on the ideXlab platform.
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Calculation of the Precession of the Perihelion of Mercury’s Orbit Within the Framework of the Generalized Law of Universal Gravitation with Allowance for the Ellipticity of Planet Orbits
Russian Physics Journal, 2019Co-Authors: N. V. KupryaevAbstract:The precession of the perihelion of Mercury’s orbit is simulated numerically within the framework of the generalized law of Universal Gravitation in the field of the Sun and planets taking into account the ellipticity of the planet orbits and new data on the flattening, the mass of the Sun, and the Gravitational constant. Calculations were carried out with increased accuracy (up to 19–20 decimal places) and iteration steps of 0.00005 s and 0.0001 s starting from the asteroid belt. It has been shown that the average precession of the perihelion of Mercury’s orbit in 100 years calculated within the framework of the generalized law of Universal Gravitation and averaged over long time periods from several hundred years to several thousand years taking into account the ellipticity of planet orbits is ~554.2”. This is less than the observed shift of the perihelion of Mercury’s orbit by ~19.9”. As is well known, the observed shift is ~574.1”. That is, the question on the adequacy of the generalized law of Universal Gravitation to the observances still remains open. However, it is possible that an object of small size (or several such objects) may be located inside Mercury’s orbit, and one more object, whose mass should not exceed at least ~0.2 of the Earth mass may be located at the diametrically opposite point of the Earth orbit behind the Sun. The results obtained are valid to within 1–2 decimal places.
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calculation of the precession of the perihelion of mercury s orbit within the framework of the generalized law of Universal Gravitation with allowance for the ellipticity of planet orbits
Russian Physics Journal, 2019Co-Authors: N. V. KupryaevAbstract:The precession of the perihelion of Mercury’s orbit is simulated numerically within the framework of the generalized law of Universal Gravitation in the field of the Sun and planets taking into account the ellipticity of the planet orbits and new data on the flattening, the mass of the Sun, and the Gravitational constant. Calculations were carried out with increased accuracy (up to 19–20 decimal places) and iteration steps of 0.00005 s and 0.0001 s starting from the asteroid belt. It has been shown that the average precession of the perihelion of Mercury’s orbit in 100 years calculated within the framework of the generalized law of Universal Gravitation and averaged over long time periods from several hundred years to several thousand years taking into account the ellipticity of planet orbits is ~554.2”. This is less than the observed shift of the perihelion of Mercury’s orbit by ~19.9”. As is well known, the observed shift is ~574.1”. That is, the question on the adequacy of the generalized law of Universal Gravitation to the observances still remains open. However, it is possible that an object of small size (or several such objects) may be located inside Mercury’s orbit, and one more object, whose mass should not exceed at least ~0.2 of the Earth mass may be located at the diametrically opposite point of the Earth orbit behind the Sun. The results obtained are valid to within 1–2 decimal places.
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calculation of the precession of the perihelion of mercury s orbit within the framework of a generalized law of Universal Gravitation with refined data
Russian Physics Journal, 2016Co-Authors: N. V. KupryaevAbstract:The precession of the perihelion of Mercury’s orbit for 100 years in the Gravitational field of the Sun and the planets has been numerically modeled within the framework of a generalized law of Universal Gravitation with refined data on the parameters of the orbits of the planets (including the asteroid belt and Pluto), and also the Gravitational constant and with a smaller iteration step (0.0002 s). The calculations were performed with enhanced computational accuracy. It has been shown that the average precession of Mercury’s orbit in 100 years within the framework of the generalized law of Universal Gravitation comprises ~565.3''. This is less than the observed shift of the perihelion by about 8.8''. The observed shift of the perihelion, as is well known, comprises ~574.1''. It is not ruled out that inside Mercury’s orbit some unknown undetected object (or several such objects) of small size remains to be found.
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Calculation of the Precession of the Perihelion of Mercury’s Orbit Within the Framework of a Generalized Law of Universal Gravitation with Refined Data
Russian Physics Journal, 2016Co-Authors: N. V. KupryaevAbstract:The precession of the perihelion of Mercury’s orbit for 100 years in the Gravitational field of the Sun and the planets has been numerically modeled within the framework of a generalized law of Universal Gravitation with refined data on the parameters of the orbits of the planets (including the asteroid belt and Pluto), and also the Gravitational constant and with a smaller iteration step (0.0002 s). The calculations were performed with enhanced computational accuracy. It has been shown that the average precession of Mercury’s orbit in 100 years within the framework of the generalized law of Universal Gravitation comprises ~565.3''. This is less than the observed shift of the perihelion by about 8.8''. The observed shift of the perihelion, as is well known, comprises ~574.1''. It is not ruled out that inside Mercury’s orbit some unknown undetected object (or several such objects) of small size remains to be found.
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Calculation of the Precession of the Perihelion of Mercury’s Orbit Within the Framework of Newton’s Law of Universal Gravitation
Russian Physics Journal, 2015Co-Authors: N. V. KupryaevAbstract:The precession of the perihelion of Mercury’s orbit in the Gravitational field of the Sun and planets has been numerically modeled within the framework of Newton’s law of Universal Gravitation. The calculations were performed with enhanced calculational accuracy and with an iteration step of 0.0005 s. It has been shown that the average precession of Mercury’s orbit after 100 years within the framework of Newton’s law of Universal Gravitation comprises +553''. This is 21'' greater than the generally accepted value of +532''.
Husniza Husni - One of the best experts on this subject based on the ideXlab platform.
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A Newton’s Universal Gravitation Inspired Firefly Algorithm for Document Clustering
Lecture Notes in Electrical Engineering, 2020Co-Authors: Athraa Jasim Mohammed, Yuhanis Yusof, Husniza HusniAbstract:The divisive clustering has the advantage to build a hierarchical structure that is more efficient to represent documents in search engines. Its operation employs one of the partition clustering algorithms that leads to being trapped in a local optima. This paper proposes a Firefly algorithm that is based on Newton’s law of Universal Gravitation, known as Gravitation Firefly Algorithm (GFA), for document clustering. GFA is used to find centers of clusters based on objective function that maximizes the force between each document and an initial center. Upon identification of a center, the algorithm then locates documents that are similar to the center using cosine similarity function. The process of finding centers for new clusters continues by sorting the light intensity values of the balance documents. Experimental results on Reuters datasets showed that the proposed Newton inspired Firefly algorithm is suitable to be used for document clustering in text mining.
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SCDM - Experimental Analysis of Firefly Algorithms for Divisive Clustering of Web Documents
Advances in Intelligent Systems and Computing, 2020Co-Authors: Athraa Jasim Mohammed, Yuhanis Yusof, Husniza HusniAbstract:This paper studies two clustering algorithms that are based on the Firefly Algorithm (FA) which is a recent swarm intelligence approach. We perform experiments utilizing the Newton’s Universal Gravitation Inspired Firefly Algorithm (GFA) and Weight-Based Firefly Algorithm (WFA) on the 20_newsgroups dataset. The analysis is undertaken on two parameters. The first is the alpha (α) value in the Firefly algorithms and latter is the threshold value required during clustering process. Results showed that a better performance is demonstrated by Weight-Based Firefly Algorithm compared to Newton’s Universal Gravitation Inspired Firefly Algorithm.
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a newton s Universal Gravitation inspired firefly algorithm for document clustering
2014Co-Authors: Athraa Jasim Mohammed, Yuhanis Yusof, Husniza HusniAbstract:The divisive clustering has the advantage to build a hierarchical structure that is more efficient to represent documents in search engines. Its operation employs one of the partition clustering algorithms that leads to being trapped in a local optima. This paper proposes a Firefly algorithm that is based on Newton’s law of Universal Gravitation, known as Gravitation Firefly Algorithm (GFA), for document clustering. GFA is used to find centers of clusters based on objective function that maximizes the force between each document and an initial center. Upon identification of a center, the algorithm then locates documents that are similar to the center using cosine similarity function. The process of finding centers for new clusters continues by sorting the light intensity values of the balance documents. Experimental results on Reuters datasets showed that the proposed Newton inspired Firefly algorithm is suitable to be used for document clustering in text mining.
Athraa Jasim Mohammed - One of the best experts on this subject based on the ideXlab platform.
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A Newton’s Universal Gravitation Inspired Firefly Algorithm for Document Clustering
Lecture Notes in Electrical Engineering, 2020Co-Authors: Athraa Jasim Mohammed, Yuhanis Yusof, Husniza HusniAbstract:The divisive clustering has the advantage to build a hierarchical structure that is more efficient to represent documents in search engines. Its operation employs one of the partition clustering algorithms that leads to being trapped in a local optima. This paper proposes a Firefly algorithm that is based on Newton’s law of Universal Gravitation, known as Gravitation Firefly Algorithm (GFA), for document clustering. GFA is used to find centers of clusters based on objective function that maximizes the force between each document and an initial center. Upon identification of a center, the algorithm then locates documents that are similar to the center using cosine similarity function. The process of finding centers for new clusters continues by sorting the light intensity values of the balance documents. Experimental results on Reuters datasets showed that the proposed Newton inspired Firefly algorithm is suitable to be used for document clustering in text mining.
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SCDM - Experimental Analysis of Firefly Algorithms for Divisive Clustering of Web Documents
Advances in Intelligent Systems and Computing, 2020Co-Authors: Athraa Jasim Mohammed, Yuhanis Yusof, Husniza HusniAbstract:This paper studies two clustering algorithms that are based on the Firefly Algorithm (FA) which is a recent swarm intelligence approach. We perform experiments utilizing the Newton’s Universal Gravitation Inspired Firefly Algorithm (GFA) and Weight-Based Firefly Algorithm (WFA) on the 20_newsgroups dataset. The analysis is undertaken on two parameters. The first is the alpha (α) value in the Firefly algorithms and latter is the threshold value required during clustering process. Results showed that a better performance is demonstrated by Weight-Based Firefly Algorithm compared to Newton’s Universal Gravitation Inspired Firefly Algorithm.
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a newton s Universal Gravitation inspired firefly algorithm for document clustering
2014Co-Authors: Athraa Jasim Mohammed, Yuhanis Yusof, Husniza HusniAbstract:The divisive clustering has the advantage to build a hierarchical structure that is more efficient to represent documents in search engines. Its operation employs one of the partition clustering algorithms that leads to being trapped in a local optima. This paper proposes a Firefly algorithm that is based on Newton’s law of Universal Gravitation, known as Gravitation Firefly Algorithm (GFA), for document clustering. GFA is used to find centers of clusters based on objective function that maximizes the force between each document and an initial center. Upon identification of a center, the algorithm then locates documents that are similar to the center using cosine similarity function. The process of finding centers for new clusters continues by sorting the light intensity values of the balance documents. Experimental results on Reuters datasets showed that the proposed Newton inspired Firefly algorithm is suitable to be used for document clustering in text mining.
Steffen Ducheyne - One of the best experts on this subject based on the ideXlab platform.
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BACON'S IDEA AND NEWTON'S PRACTICE OF INDUCTION 1
2020Co-Authors: Steffen DucheyneAbstract:In this essay, I pro vide a Baconian reading of Newton’s Principia. I argue that Newton scientific practice (especially in the Principia) was influenced by Bacon’s methodised idea of induction. My focus will be on Newton’s argument of Universal Gravitation.
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Testing Universal Gravitation in the laboratory, or the significance of research on the mean density of the earth and big G, 1798-1898: changing pursuits and long-term methodological-experimental continuity
Archive for History of Exact Sciences, 2010Co-Authors: Steffen DucheyneAbstract:This article seeks to provide a historically well-informed analysis of an important post-Newtonian area of research in experimental physics between 1798 and 1898, namely the determination of the mean density of the earth and, by the end of the nineteenth century, the Gravitational constant. Traditionally, research on these matters is seen as a case of “puzzle solving.” In this article, the author shows that such focus does not do justice to the evidential significance of eighteenth- and nineteenth-century experimental research on the mean density of the earth and the Gravitational constant. As Newton’s theory of Universal Gravitation was mainly based on astronomical observation, it remained to be shown that Newton’s law of Universal Gravitation did not break down at terrestrial distances. In this context, Cavendish’ experiment and related nineteenth-century experiments played a decisive role, for they provided converging and increasingly stronger evidence for the Universality of Newton’s theory of Gravitation. More precisely, the author shall argue that, as the accuracy and precision of the experimental apparatuses and the procedures to eliminate external disturbances involved increasingly improved, the empirical support for the Universality of Newton’s theory of Gravitation improved correspondingly.
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Understanding (in) Newton’s Argument for Universal Gravitation
Journal for General Philosophy of Science, 2009Co-Authors: Steffen DucheyneAbstract:In this essay, I attempt to assess Henk de Regt and Dennis Dieks recent pragmatic and contextual account of scientific understanding on the basis of an important historical case-study: understanding in Newton’s theory of Universal Gravitation and Huygens’ reception of Universal Gravitation. It will be shown that de Regt and Dieks’ Criterion for the Intelligibility of a Theory (CIT), which stipulates that the appropriate combination of scientists’ skills and intelligibility-enhancing theoretical virtues is a condition for scientific understanding, is too strong. On the basis of this case-study, it will be shown that scientists can understand each others’ positions qualitatively and quantitatively, despite their endorsement of different worldviews and despite their convictions as what counts as a proper explanation.
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understanding in newton s argument for Universal Gravitation
Journal for General Philosophy of Science, 2009Co-Authors: Steffen DucheyneAbstract:In this essay, I attempt to assess Henk de Regt and Dennis Dieks recent pragmatic and contextual account of scientific understanding on the basis of an important historical case-study: understanding in Newton’s theory of Universal Gravitation and Huygens’ reception of Universal Gravitation. It will be shown that de Regt and Dieks’ Criterion for the Intelligibility of a Theory (CIT), which stipulates that the appropriate combination of scientists’ skills and intelligibility-enhancing theoretical virtues is a condition for scientific understanding, is too strong. On the basis of this case-study, it will be shown that scientists can understand each others’ positions qualitatively and quantitatively, despite their endorsement of different worldviews and despite their convictions as what counts as a proper explanation.
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the argument s for Universal Gravitation
Foundations of Science, 2006Co-Authors: Steffen DucheyneAbstract:In this paper an analysis of Newton’s argument for Universal Gravitation is provided. In the past, the complexity of the argument has not been fully appreciated. Recent authors like George E. Smith and William L. Harper have done a far better job. Nevertheless, a thorough account of the argument is still lacking. Both authors seem to stress the importance of only one methodological component. Smith stresses the procedure of approximative deductions backed-up by the laws of motion. Harper stresses “systematic dependencies” between theoretical parameters and phenomena. I will argue that Newton used a variety of different inferential strategies: causal parsimony considerations, deductions, demonstrative inductions, abductions and thought-experiments. Each of these strategies is part of Newton’s famous argument.
Pierre J Boulos - One of the best experts on this subject based on the ideXlab platform.
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Newton’s Path to Universal Gravitation: The Role of the Pendulum
Science Education, 2006Co-Authors: Pierre J BoulosAbstract:Much attention has been given to Newton’s argument for Universal Gravitation in Book III of the Principia. Newton brings an impressive array of phenomena, along with the three laws of motion, and his rules for reasoning to deduce Universal Gravitation. At the centre of this argument is the famous ‘moon test’. Here it is the empirical evidence supplied by the pendulum and Huygens’ results which drive Newton’s argument. This paper explores Newton’s argument while paying close attention to the role the pendulum plays in the argument.
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newton s path to Universal Gravitation the role of the pendulum
Science Education, 2006Co-Authors: Pierre J BoulosAbstract:Much attention has been given to Newton’s argument for Universal Gravitation in Book III of the Principia. Newton brings an impressive array of phenomena, along with the three laws of motion, and his rules for reasoning to deduce Universal Gravitation. At the centre of this argument is the famous ‘moon test’. Here it is the empirical evidence supplied by the pendulum and Huygens’ results which drive Newton’s argument. This paper explores Newton’s argument while paying close attention to the role the pendulum plays in the argument.
