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Search Results: 1 - 10 of 3493 matches for " Federico Petrovich "
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One Dimensional Relativistic Particle in a Quadratic Dissipative Medium Subjected to a Force That Depends on the Position  [PDF]
Federico Petrovich
Journal of Modern Physics (JMP) , 2015, DOI: 10.4236/jmp.2015.69122
Abstract: We will find a constant of motion with energy units for a relativistic particle moving in a quadratic dissipative medium subjected to a force which depends on the position. Then, we will find the Lagrangian and the Hamiltonian of the equation of motion in a time interval such that the velocity does not change its sign. Finally, we will see that the Lagrangian and Hamiltonian have some problems.
A New Formulation of Classical Mechanics—Part 1  [PDF]
Federico Petrovich
Journal of Applied Mathematics and Physics (JAMP) , 2016, DOI: 10.4236/jamp.2016.42048
Abstract: This paper has two parts, in this occasion we will present the first one. Until today, there are two formulations of classical mechanics. The first one is based on the Newton’s laws and the second one is based on the principle of least action. In this paper, we will find a third formulation that is totally different and has some advantages in comparison with the other two formulations.
A New Formulation of Classical Mechanics—Part 2  [PDF]
Federico Petrovich
Journal of Applied Mathematics and Physics (JAMP) , 2016, DOI: 10.4236/jamp.2016.45103
Abstract: In the first part of this paper, we found a more convenient algorithm for solving the equation of motion of a system of n bodies. This algorithm consists in solving first the trajectory equation and then the temporal equation. In this occasion, we will introduce a new way to solve the temporal equation by curving the horizontal axis (the time axis). In this way, we will be able to see the period of some periodic systems as the length of a certain curve and this will allow us to approximate the period in a different way. We will also be able to solve some problems like the pendulum one without using elliptic integrals. Finally, we will solve Kepler’s problem using all the formalism.
Another Understanding of the Model of Genetic Code Theoretical Analysis  [PDF]
Petr Petrovich Gariaev
Open Journal of Genetics (OJGen) , 2015, DOI: 10.4236/ojgen.2015.52008
Abstract: At present the model of the genetic code (the code of protein biosynthesis) proposed almost 50 years ago by M. Nirenberg and F. Crick has undergone severe erosion. Tactically, it is true that triplicity and the synonymous degeneracy are unmistakable. But the Nirenberg-Crick postulate about unambiguous coding of amino acids, i.e., the strategy raises reasonable doubt. The reasons to doubt showed up very early: it turned out that the triplet UUU codes both phenylalanine and leucine, which was inconsistent with the declaration of the unambiguity of the DNA-RNA encoding of amino acids in proteins. On the other hand, the ambiguity automatically stems from the Wobble Hypothesis by F. Crick relating to the wobbling of the third nucleotide in codons, (random, undetermined behavior), which means the 3’-5’ codon-anticodon pair is not involved in the encoding, and represents a “steric crutch”. In fact, amino acids are coded not by triplet, but by doublet of nucleotides in a triplet, according to “Two-out-of-Three” rule by Ulf Lagerkvist. From this perspective, the codon families split into two classes: 32 codon-synonym triplets and 32 codon triplets with undetermined coding functions, that is inherent to one of the 32 codons UUU. These “undetermined” codons have called homonyms. They are ambiguous as they potentially and simultaneously encode two different amino acids, or amino acid and the stop function. However, the ambiguity is overcome in real protein biosynthesis. This is due to the sign orientations of ribosomes within mRNA contexts. This is the way the semantics of the codon-homonyms occur, as an exact analogy of the consciousness work in the human languages, abounding with homonyms. This turn in the understanding of the protein code, as actual text formation, leads to a strong idea of the genome as a quasi-intelligent biocomputer structure of living cells. Ignoring this leads to erroneous and dangerous works of genetic engineering, the most important results are Synthia bacteria with synthetic genome and GM foods. Protein biosynthesis is a key, but not the only basic information function of chromosomes. There are other, no less important, holographic and quantum non-locality functions related to morphogenesis. In this plane, the work of the genome, as a quantum biocomputer, occurs on the wave level. Here the main function is regulatory quantum broadcasting of genetic-metabolic information on the intercellular, tissue and organism levels using a coherent photon DNA radiation and its nonlinear vibrational states (sound). DNA information presents itself in
Steady-state planet migration by the Kozai-Lidov mechanism in stellar binaries
Cristobal Petrovich
Physics , 2014, DOI: 10.1088/0004-637X/799/1/27
Abstract: We study the steady-state orbital distributions of giant planets migrating through the combination of the Kozai-Lidov (KL) mechanism due to a stellar companion and friction due to tides raised on the planet by the host star. We run a large set of Monte Carlo simulations that describe the secular evolution of a star-planet-star triple system including the effects from general relativistic precession, stellar and planetary spin evolution, and tides. Our simulations show that KL migration produces Hot Jupiters (HJs) with semi-major axes that are generally smaller than in the observations and they can only explain the observations if the following are both true: (i) tidal dissipation at high eccentricities is at least $\sim 150$ times more efficient than the upper limit inferred from the Jupiter-Io interaction; (ii) highly eccentric planets get tidally disrupted at distances $\gtrsim 0.015$ AU. Based on the occurrence rate and semi-major axis distribution of HJs, we find that KL migration in stellar binaries can produce at most $\sim 20\%$ of the observed HJs. Almost no intermediate-period (semi-major axis $\sim0.1-2$ AU) planets are formed by this mechanism - migrating planets spend most of their lifetimes undergoing KL oscillations at large orbital separations ($>2$ AU) or as Hot Jupiters.
The stability and fates of hierarchical two-planet systems
Cristobal Petrovich
Physics , 2015, DOI: 10.1088/0004-637X/808/2/120
Abstract: We study the dynamical stability and fates of hierarchical (in semi-major axis) two-planet systems with arbitrary eccentricities and mutual inclinations. We run a large number of long-term numerical integrations and use the Support Vector Machine algorithm to search for an empirical boundary that best separates stable systems from systems experiencing either ejections or collisions with the star. We propose the following new criterion for dynamical stability: $a_{\rm out}(1-e_{\rm out})/[a_{\rm in}(1+e_{\rm in})]>2.4\left[\max(\mu_{\rm in},\mu_{\rm out})\right]^{1/3}(a_{\rm out}/a_{\rm in})^{1/2}+1.15$, which should be applicable to planet-star mass ratios $\mu_{\rm in},\mu_{\rm out}=10^{-4}-10^{-2}$, integration times up to $10^8$ orbits of the inner planet, and mutual inclinations $\lesssim40^\circ$. Systems that do not satisfy this condition by a margin of $\gtrsim0.5$ are expected to be unstable, mostly leading to planet ejections if $\mu_{\rm in}>\mu_{\rm out}$, while slightly favoring collisions with the star for $\mu_{\rm in}<\mu_{\rm out}$. We use our numerical integrations to test other stability criteria that have been proposed in the literature and show that our stability criterion performs significantly better for the range of system parameters that we have explored.
Hot Jupiters from Coplanar High-eccentricity Migration
Cristobal Petrovich
Physics , 2014, DOI: 10.1088/0004-637X/805/1/75
Abstract: We study the possibility that hot Jupiters are formed through the secular gravitational interactions between two planets in eccentric orbits with relatively low mutual inclinations ($\lesssim20^\circ$) and friction due to tides raised on the planet by the host star. We term this migration mechanism Coplanar High-eccentricity Migration because, like disk migration, it allows for migration to occur on the same plane in which the planets formed. Coplanar High-eccentricity Migration can operate from the following typical initial configurations: (i) inner planet in a circular orbit and the outer planet with an eccentricity $\gtrsim0.67$ for $m_{\rm in}/m_{\rm out}(a_{\rm in}/a_{\rm out})^{1/2}\lesssim0.3$; (ii) two eccentric ($\gtrsim0.5$) orbits for $m_{\rm in}/m_{\rm out}(a_{\rm in}/a_{\rm out})^{1/2}\lesssim0.16$. A population synthesis study of hierarchical systems of two giant planets using the observed eccentricity distribution of giant planets shows that Coplanar High-eccentricity Migration produces hot Jupiters with low stellar obliquities ($\lesssim30^\circ$), with a semi-major axis distribution that matches the observations, and at a rate that can account for their observed occurrence. A different mechanism is needed to create large obliquity hot Jupiters, either a different migration channel or a mechanism that tilts the star or the proto-planetary disk. Coplanar High-eccentricity Migration predicts that hot Jupiters should have distant ($a\gtrsim5$ AU) and massive (most likely $\sim1-3$ more massive than the hot Jupiter) companions with relatively low mutual inclinations ($\lesssim 20^\circ$) and moderately high eccentricities ($e\sim0.2-0.5$)
Caustic Structure of the Under Water Sound Channel  [PDF]
Vsevolod Petrovich Ivanov, Galina Kalenikovna Ivanova
Open Journal of Acoustics (OJA) , 2014, DOI: 10.4236/oja.2014.41004
Abstract: Using the ray method, an investigation has been carried out on the structure of caustics in the wa- veguide assuming the canonical distribution of the sound velocity with depth. Monochromatic point source of sound was on the axis of the waveguide. There is considered water rays only. It is shown that the spatial part of the phase of a running sound wave does not contain the wave propagation direction and is always a positive quantity. When the trajectories are calculated, it is assumed that inversion of rays occurs at an angle of total internal reflection where the reflection coefficient is equal to unity. This eliminates the horizontal part of the trajectories. At other points, the reflection coefficient is assumed to be zero, and the passing coefficient is equal to unity. With this change in the calculation of rays trajectories, the basic structure of the caustics remained the same. It is shown that the boundary line of the caustic is a number of foci in which rays intersect with similar angles out of the source and have neighbour times of propagation. Structure of the sound field along the boundary line of the caustic is periodic. Its period coincides with the wavelength of the field radiated by the source.
Danilenko Valerij Petrovich
Magister Dixit , 2011,
Abstract: The article is devoted to the key issues of the discourse of life absurdity in the history of culture. “The Book of Ecclesiastic” is viewed as a starting point. In Modern Age ecclesiastical discourse is continued brightly in the works of B. Pascal, A. Schopenhauer and A. Camus. To some extent it is presented by A. Herzen and L. Tolstoy, and also in European poetry of Homer, W Shakespeare, J. Goethe, V. Zhukovskiy, M. Lermontov, I. Nikitin, F. Tuytchev.
Danilenko Valeriy Petrovich
Magister Dixit , 2012,
Abstract: The main imperative of evolutionary ethics says: culture is a wreath of physical, biotic and mental evolution. But it evolves within itself – from primitive forms of religion, science, art, morality, politics, language, food, clothes, dwelling and technology towards their more perfect forms. The meaning of life consists in successful cultural evolution’s involvement (cultural genesis, hominazation), i.e. with an attempt to absorb in itself preceding culture as much as possible and to bring in it the maximum of personal contribution.
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