An algebra and trigonometry -based proof of Kepler's First LawAn elementary proof of Kepler's first law, i.e. that bounded planetary orbits are elliptical, is derived without the use of calculus. The proof is similar in spirit to previous derivations, in…Akarsh Simha·Nov 5, 2021SaveLearn
Room Acoustics (lecture notes)Room acoustics is commonly regarded and studied as an applied subdiscipline of engineering acoustics. It is likely for this reason that many textbooks and lecture notes on the topic provide a too…Drasko Masovic·Nov 2, 2021SaveLearn
The effect of deformation of special relativity by conformable derivativeIn the article, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory were re-stated. And, the addition…Ahmed Al-Jamel, Mohamed. Al-Masaeed, Eqab. M. Rabei et al.·Nov 1, 2021SaveLearn
A comparison of spectra of SBSL produced by standard method and by JB mechanismRecently new mechanism to create single bubble sonoluminescence was discovered. Main features of new mechanism is jet and bubble correlated with this jet which undergoes sonoluminescence. This…Jaroslav Antos·Oct 31, 2021SaveLearn
Angular momentum transfered by the field of a moving point chargeThe flux of angular momentum of electromagnetic field of an arbitrarily moving point charge is investigated. General equations are obtained for the transfer of angular momentum at arbitrary distance…Vladimir Epp, Ulyana Guselnikova, Irina Kamenskaya·Oct 30, 2021SaveLearn
Self-force on a charged particle in an external scalar fieldA charged particle subject to strong external forces will accelerate, and so radiate energy, inducing a self-force. This phenomenon remains contentious, but advances in laser technology mean we will…Adam Noble, David A. Burton, Lauren Docherty et al.·Oct 29, 2021SaveLearn
Analysis and design of two-dimensional compound metallic metagratings using an analytical methodThe recently proposed concept of metagrating enables wavefront manipulation of electromagnetic (EM) waves with unitary efficiency and relatively simple fabrication requirements. Herein,…Mahdi Rahmanzadeh, Amin Khavasi·Oct 25, 2021SaveLearn
Zeta function regularization technique in the electrostatics context for discrete charge distributionsSpectral functions, such as the zeta functions, are widely used in Quantum Field Theory to calculate physical quantities. In this work, we compute the electrostatic potential and field due to an…F. Escalante·Oct 23, 2021SaveLearn
Stereographic coordinates for simpler far-field radiation analysisA coordinate system is proposed for the purposes of analysis of far-field radiation from a localized source at the origin. The proposed coordinates exhibit no singularities over the far-field…Vassili Savinov·Oct 23, 2021SaveLearn
Theoretical estimates of the parameters of longitudinal undular bores in PMMA bars based on their measured initial speedsWe study the evolution of the longitudinal release wave that is generated by induced tensile fracture as it propagates through solid rectangular Polymethylmethacrylate (PMMA) bars of different…C. G. Hooper, K. R. Khusnutdinova, J. M. Huntley et al.·Oct 22, 2021SaveLearn
Acoustic resonators: symmetry classification and multipolar content of the eigenmodesAcoustics recently became a versatile platform for discovering novel physical effects and concepts at a relatively simple technological level. On this way, single resonators and the structure of…Mariia Tsimokha, Vladimir Igoshin, Anastasiya Nikitina et al.·Oct 21, 2021SaveLearn
Gravitational Orbits and the Lambert ProblemThe Lambert problem is to determine the gravitational orbit between two points that has a specified time of flight, allowing the second point to be a moving target such as a satellite. After a review…Ian R Gatland·Oct 21, 2021SaveLearn
The Lorentz group and the Kronecker product of matricesThe group SL(2,C) of all complex 2× 2 matrices with determinant one is closely related to the group L+ of real 4× 4 matrices representing…Jonas Larsson, Karl Larsson·Oct 19, 2021SaveLearn
Filaments and voids in planar central configurationsWe have numerically computed planar central configurations of n=1000 bodies of equal masses. A classification of central configurations is proposed based on the numerical value of the complexity,…Manuel R. Izquierdo·Oct 19, 2021SaveLearn
Towards nonlinear electrodynamics without renormalizationIn this paper is considered nonlinear electrodynamics (NE) which does not satisfy the linear superposition principle (LSP). Since the presentation of the special theory of relativity, it has been…Ho-Dong Jo, Chol-Song Kim·Oct 18, 2021SaveLearn
Pedal coordinates and free double linkageUsing the technique of pedal coordinates we investigate the orbits of a free double linkage. We provide a geometrical construction for them and also show a surprising connection between this…Petr Blaschke, Filip Blaschke, Martin Blaschke·Oct 17, 2021SaveLearn
A New Theory for Estimating Maximum Power from Wind Turbines: A Fundamental Newtonian ApproachA novel method for calculating power output from wind turbines using Newtonian mechanics is proposed. This contrasts with current methods based on interception rates by airfoils of kinetic energy to…Ivan R. Kennedy, Migdat Hodzic, Angus N. Crossan et al.·Oct 16, 2021SaveLearn
Lorentz-equivariant flow with four delays of neutral typeWe generalize electrodynamics with a second interaction in lightcone. The time-reversible equations for two-body motion define a semiflow on C2(R) with four state-dependent delays of…Jayme De Luca·Oct 14, 2021SaveLearn
Non-stationary oscillation of a string on the Winkler foundation subjected to a discrete mass-spring system non-uniformly moving at a sub-critical speedWe consider non-stationary free and forced transverse oscillation of an infinite taut string on the Winkler foundation subjected to a discrete mass-spring system non-uniformly moving at a given…Serge N. Gavrilov, Ekaterina V. Shishkina, Ilya O. Poroshin·Oct 12, 2021SaveLearn
Describing the hierarchical gravitational three-body problem with force and torque vectorsWe investigate the hierarchical gravitational three-body problem, in which a binary is perturbed by a distant object that orbits on a Keplerian ellipse around the binary itself. This phenomenon,…Barnabás Deme·Oct 12, 2021SaveLearn
The Elastic Spiral Phase PipeWe design a device for the passive mode conversion of guided, axisymmetric, ultrasonic waves in hollow elastic pipes into arbitrary non-axisymmetric flexural waves that have a constant angular…Gregory J. Chaplain, Jacopo M. De Ponti·Oct 11, 2021SaveLearn
Exploiting diurnal temperature variations to monitor the growth of tubersThe possibility to use diurnal temperature variations for nondestructive monitoring of growing tubers is investigated by numerically simulating the data collected with a grid of passive thermal…Marissa Bezemer, Neil Budko·Oct 11, 2021SaveLearn
Nonstandard Null Lagrangians and gauge Functions for Newtonian Law of InertiaNew null Lagrangians and gauge functions are derived and they are called nonstandard because their forms are different than those previously found. The invariance of the action is used to make the…Z. E. Musielak·Oct 9, 2021SaveLearn
Electrodynamics in noninertial framesThe electromagnetic theory is considered in the framework of the generally covariant approach, that is applied to the analysis of electromagnetism in noninertial coordinate and frame systems. The…Yuri N. Obukhov·Oct 7, 2021SaveLearn
Angular momenta in fields from a rotational mechanical antennaMechanic antennas provide opportunities for human portable, VLF communications, where a rotational dipole emits EM signals with angular momenta. In this paper we analytically derive the…Y. Mao, Y. Liu, H. Lin·Oct 7, 2021SaveLearn