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[12] viXra:2501.0167 [pdf] submitted on 2025-01-29 22:10:35
Authors: Victor Christianto, Florentin Smarandache
Comments: 8 Pages.
Kepler's equation, a cornerstone of celestial mechanics, relates the mean anomaly (mean angular position) of a celestial body in an elliptical orbit to its eccentric anomaly. While elegant in its formulation (x = y - e sin y), it lacks a general closed-form solution in terms of elementary functions. This article explores the significance of Kepler's equation, briefly traces its historical context, and presents a simplified approach to obtaining a closed-form solution using Mathematica. By expressing the sine function within Kepler's equation as a MacLaurin series, we derive an iterative algorithm that converges rapidly to the eccentric anomaly, providing a practical and computationally efficient method for solving this fundamental equation in celestial mechanics. (submitted to a journal for review.)
Category: Classical Physics
[11] viXra:2501.0138 [pdf] submitted on 2025-01-27 01:48:00
Authors: Yi Sheng Ng, Zi-Jing Chiah
Comments: 21 Pages.
This paper explores the use of Microsoft Excel as a simple and accessible platform for simulating free-fall motion, providing an alternative to programming-intensive tools like MATLAB and C++. The aim is to demonstrate Excel’s potential for numerical simulations, particularly for users with limited programming experience. The first section introduces the basics of Excel, covering data entry and plotting techniques, which are essential for setting up and visualizing simulations. This tutorial approach makes the process accessible to a wider audience, including students and educators. The study derives the governing equations of motion by rewriting Newton’s second law, ��=����, into differential equation form. These equations are solved iteratively using Excel’s built-in formulas and functions. The paper presents three case studies to illustrate the methodology: (1) free fall without air resistance, (2) free fall with air resistance, and (3) free fall in a viscous fluid. For each case, numerical solutions are computed step-by-step, and the results are displayed through graphs generated directly in Excel. The simulated results show excellent agreement with theoretical predictions, validating Excel’s accuracy as a tool for physics simulations. The analysis reveals that viscous resistance in fluids significantly slows down motion compared to air resistance, as demonstrated by the velocity profiles for each case. This finding highlights the importance of considering the medium’s properties when analyzing free-fall motion. By leveraging Excel’s intuitive interface and accessibility, this study provides a practical approach for conducting numerical simulations without requiring advanced programming knowledge. The results demonstrate that Excel is not only capable of handling complex numerical problems but also offers an easier learning curve for beginners. This makes it a valuable tool for educational purposes and for individuals or institutions with limited access to specialized software. The inclusion of detailed tutorials ensures that users can replicate and build upon the simulations presented in this work, making physics simulations more accessible to the public.
Category: Classical Physics
[10] viXra:2501.0128 [pdf] submitted on 2025-01-25 03:25:01
Authors: Rajeev Kumar
Comments: 5 Pages.
In this paper an alternative explanation of the result of the Fizeau experiment with moving water has been presented.
Category: Classical Physics
[9] viXra:2501.0113 [pdf] submitted on 2025-01-21 21:20:47
Authors: Russell P. Patera
Comments: 15 Pages.
Previous work showed that vehicle attitude propagation accuracy for a slewing angular rate vector can be greatly improved by including the slew rate of the angular rate vector in the propagation algorithm. The improved algorithm employs two sequential rotational increments for each time step. This work presents a method to combine the two rotational increments into a single rotational increment driven by a Universal Angular Rate vector. The Universal Angular Rate vector can be used in the direction cosine and quaternion attitude propagation algorithms to obtain attitude propagation accuracy equivalent to the two rotational increment method. An approximate Universal Angular Rate vector was also derived that avoids the use of trigonometric functions while retaining very high attitude propagation accuracy. Pure coning motion was used to stress test the Universal Angular Rate vector and the approximate Universal Angular Rate vector using direction cosine, linear direction cosine, quaternion, and Bortz propagation algorithms. Results confirmed that by replacing the standard angular rate vector with the Universal Angular Rate vector, attitude propagation accuracy is greatly improved.
Category: Classical Physics
[8] viXra:2501.0104 [pdf] submitted on 2025-01-19 15:02:25
Authors: Gerald Vones
Comments: 12 Pages.
A symmetry facilitated by Newton's constant inside a generalized metric brings together the concepts of spacetime and vector fields in a way reminding of the unification of space and time by Special Relativity, with a subtle difference though. This can be regarded as a geometrization of the historic ``New Field Theory'' of Born and Infeld. The underlying symmetry brings some insight in the fact that the cosmological term does not gravitate.
Category: Classical Physics
[7] viXra:2501.0073 [pdf] submitted on 2025-01-13 03:12:08
Authors: Parthiv Katapara
Comments: 4 Pages.
The advancement of power electronics has driventhe need for materials with superior electrical properties, leading to the use of wide band gap (WBG) semiconductors such as Silicon Carbide (SiC) and Gallium Nitride (GaN). These materialsexhibit higher breakdown voltages, faster switching frequencies, and better thermal stability compared to conventional silicon-based devices [1], [2], [3]. However, these benefits introducesignificant challenges in electromagnetic noise (EM noise) management, particularly due to rapid transitions characterized by high rates of change in voltage (dV /dt) and current (dI/dt)[4], [5]. This paper analytically investigates the sources and propagation of EM noise in high-frequency switching power modules using WBG semiconductors. Mathematical models are derived to describe the noise generated, incorporating factors such as parasitic inductances (L)and capacitances (C), frequency-dependent impedance (Z(f)), and noise power density (N(f)) [6]. The relationships between switching characteristics and noise amplitude are exploredthrough differential equations and Fourier analysis to map time-domain signals to their frequency components. Solutions for noise suppression are proposed, involving optimized circuit design and theoretical applications of electromagnetic wave propagation (EWP) principles, such as wave reflection and transmission in multi-layer structures [7], [8]. This work bridges theoretical electromagnetics with practical power module design, offeringstrategies that align with electromagnetic compatibility (EMC) standards and enhance performance.
Category: Classical Physics
[6] viXra:2501.0071 [pdf] submitted on 2025-01-11 07:04:48
Authors: Rajeev Kumar
Comments: 3 Pages.
In this paper a theory of refraction has been presented.
Category: Classical Physics
[5] viXra:2501.0059 [pdf] replaced on 2025-06-16 20:15:16
Authors: Mikhail Batanov-Gaukhman
Comments: 27 Pages.
This article is the ninth part of the scientific project under the general title "Geometrized Vacuum Physics Based on the Algebra of Signature " [1,2,3,4,5,6,7,8]. In this article, based on exact solutions of the Einstein vacuum equation, are proposed metric-dynamic models of the electron and positron "neutrino" in the initial state, i.e. at the moment when it breaks away from the core of the corresponding "particle", and in the final state, when almost all the rotational energy of the initial "neutrino" is converted into its accelerated translational motion. It is shown that Riemann-ian geometry allows for the consideration of "neutrinos" of various scales: molecular "neutrinos", cluster "neutrinos", planetary "neutrinos", galactic "neutrinos", etc. The article proposes methods for generating "neutrinos" of various scales, convenient for conducting inexpensive experiments to clarify their properties. Of particular interest are "neutrinos" in the final state, since the metric-dynamic model of such a "neutrino" does not contain restrictions on the speed of its translational motion. That is, a "neutrino" in the final state does not have inertia, and theoretically can move at a speed significantly exceeding the speed of light. The article proposes a method for registering super-luminal "neutrinos" in the final state.
Category: Classical Physics
[4] viXra:2501.0036 [pdf] submitted on 2025-01-07 22:03:12
Authors: Eduardo E. Salgado
Comments: 3 Pages.
The Principle of Least Action is a fundamental pillar of theoretical physics that unifies diverse phenomena under a variational formulation. This deeply elegant formulation of physics provides an alternative and powerful approach to derive Newton’s Laws. This principle states that the path followed by a physical system between two states is the one that minimizes (or makes stationary) a quantity called action, defined as the time integral of the Lagrangian. In this article, weexplore how the Principle of Least Action connects with Newton’s laws, showing that the latter are a direct consequence of a variational approach. We present an introduction to the action and the Lagrangian, followed by an application of variational calculus to obtain the Euler-Lagrange equations, which translate into Newton’s second laws under specific conditions. This approach demonstrates the elegance and generality of the Lagrangian formalism.
Category: Classical Physics
[3] viXra:2501.0021 [pdf] submitted on 2025-01-06 21:29:19
Authors: Arvin Sharma
Comments: 3 Pages.
The Displacement Current is a peculiar aspect of Maxwell's equation created by theoretical necessity only to be later validated through experimentation. We analyze the properties of the Displacement Current in the static condition of resulting in polarization of dielectrics and in the dynamic condition in Transverse Electromagnetic (TEM) waves. We perform this investigation to determine the role the Displacement Current has in influencing longitudinal interactions attributed to particles of light as part of the long-standing problem of physical optics known as the wave-particle duality, in addition to exploration of the theories of faster than light propagation in theoretical longitudinal modes of electric transmission attributed to the Displacement Current.
Category: Classical Physics
[2] viXra:2501.0018 [pdf] submitted on 2025-01-05 10:57:30
Authors: David Lindsay Johnson
Comments: 98 Pages. Volume 2 of 3
STEM (Spin Torus Energy Model) is an energy-centric approach to atomic Physics that is based upon the simple hypothesis that ‘there is only one type of energy-generating material’, and that material is electromagnetic in nature and has been called energen. STEM proposes that, rather than positively charged matter (e.g. positrons and protons) being distinctly different to negatively charged matter (e.g. electrons), all forms of matter are to be related to various energen-based structures. All fundamental particles, composite particles, electromagnetic fields, electromagnetic radiation (EMR) and matter are thus considered to be derived from and definable in terms of energen concentrations, flow patterns or combinations thereof.STEM is a pragmatic approach whose ‘proof of concept’ has been in terms of how well it sits with existing mathematical theory (such as the QM wave equations), existing experimental observations, and the theory behind the practical applications of the applied Science and engineering areas. STEM has resulted in physical models for fundamental and composite particles but, being a pragmatic approach, very little new mathematical theory has accompanied its development. Whereas conventional Atomic Physics tends to be disjointed and conflicted, the beauty of the STEM approach is that it provides consistent seamless explanations across the applied Science areas.This paper is the second of three volumes covering a wide range of Physics-related phenomena. Volume 1 proposes and develops a toroidal structure for the electron, and applies it to explain electricity and electromagnetism. Volume 2 addresses atomic structure, developing a structure for quarks, nucleons and atomic nuclei. Volume 3 addresses the physical nature of light and related forms of electromagnetic radiation (EMR).
Category: Classical Physics
[1] viXra:2501.0014 [pdf] replaced on 2026-04-14 21:02:57
Authors: Mykola Kosinov
Comments: 24 Pages.
The role of Robert Hooke in the discovery of the law of universal gravitation is shown in a new light. New circumstances are revealed that relate to the priority dispute between Hooke and Newton. It is shown that Newton's law of gravitation is not the only law of gravitational interaction. There is another law of gravitation that was outside Newton's field of vision. The existence of this law was indicated by Robert Hooke in his correspondence with Newton. Robert Hooke pointed out that the law of gravitation should take into account the elliptical orbits of the planets and the inverse square law. In 1687, Newton presented the law of gravitation, which includes the inverse square law. But the parameters of the elliptical orbit were not included in Newton's law. Instead of the orbital parameters, Newton introduced mass into his law: FN ∝ mM/r^2. As a result, a more perfect law of gravitation than Newton's law was not discovered. Here we present this law of gravitation. It has a beautiful and mathematically perfect form: FH-K = mR^3/(T*r)^2. I call this physical law the Hooke-Kepler law of gravitation. It includes the Kepler constant. It includes the inverse square law. It does not include the central mass. It does not contain the gravitational constant G. This is a more accurate and perfect law of gravitation than Newton's law, since distances and periods are known from observations with greater accuracy than mass. Thus, Hooke's path to the law of gravitation was more promising than Newton's. Robert Hooke was very close to discovering an alternative law of gravitation. Obviously, Hooke knew something about gravitation that Newton did not.
Category: Classical Physics
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