There are many ordinary/partial differential equations/systems describing various phenomena in physics, mechanics, chemistry, biology, sociology, etc. ... Prerequisites: 1 semester "Advanced Calculus", 1 semester "Linear Algebra". Optional: 2 semester "Advanced Calculus", 2 semester "Linear Algebra", 1 semester "Functions of Complex Variables", elements of the functional analysis and the ordinary differential equations theory. ... Laplace transform for linear differential equations . ...

... 8, ``Celestial Mechanics'', 2002 Investigation of stability of NEAs orbital resonance motions by numerical methods L. E. Bykova Tomsk State University, Tomsk, Russia The problem of orbital stability of resonance Near­Earth asteroids (NEAs) is considered. Most of NEAs have multiple close approaches to the inner ma­ jor planets. ... The technique of the investigation of NEAs orbital stability has been devel­ oped by author on the basis of the construction of possible motion domains (R) of asteroids. ...

Next: Simulated Results with Up: Assessment of Methods Used Previous: Introduction . ... Then one has to use regularized inversion methods in order to obtain approximate and sensible solutions. ... All these methods contain a free parameter which is the so-called regularization parameter; in the case of method ( ) this is a smoothing of the higher spatial frequencies; for the methods ( ) - ( ), it is the number of iterations. ... In the case of method ( ) the iteration scheme is given by . ...

Next: Other deconvolution tasks Up: Image Deconvolution Previous: Computation . If you have used multi-frequency synthesis in the imaging stage, you will have to have considered a fly in the ointment - the flux density of the source will vary with frequency (as well as spatially). For detection and low dynamic-range work, mild spectral variation can generally be ignored. ... The Miriad deconvolution task mfclean can be used to avoid this distortion. ...

... We study in this paper the effect of shock excitation of leaky and surface modes by the p-polarized electromagnetic wave incident on the rapidly ionized gaseous or solid layer. ... For example, if [pic] (solid density, multiple ionized plasma), the basic frequency [pic], [pic], [pic] we find, that the wavelength of leaky wave [pic] is in soft x rays band. ... If [pic] (low density gaseous plasma), the basic frequency [pic], [pic], [pic] we find, that the wavelength of leaky wave [pic] is in THz band...

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... Zodiacal Light Over New Mexico . ... On the night of December 13, 1908, 100 years ago today, the 60-inch diameter reflecting telescope of Mount Wilson Observatory was first tested on the stars. ... Look through the cosmic cloud cataloged as NGC 281 and it's almost easy to miss stars of the open cluster IC 1590. ... Perhaps the most famous star cluster on the sky, the Pleiades can be seen without binoculars from even the depths of a light-polluted city. ... A Halo Around the Moon . ...

... COMPUTER SIMULATION OF RADIOWAVE MULTIPLE SCATTERING EFFECTS IN IONOSPHERE USING MONTE-CARLO METHOD . ... Distribution of reflected radiation on the ground is computed. ... Such influence can be remarkable if the scattering is multiple, i.e. the optical thickness for the scattering process is considerably greater than a unit. ... Radiation energy transfer in the slab is modeled by distribution of some particles carring small portions of radiation energy. ... The isotropic plasma approximation is...

... Likhachev, S., Ladygin, V., & Guirin, I. 2003, in ASP Conf. ... In VLBI, generalized Linear Multi-Frequency Imaging (MFI) consists of multi-frequency synthesis (MFS) and multi-frequency analysis (MFA) of the VLBI data obtained from observations on various frequencies. ... 2003). ... Likhachev, S. F., Ladygin, V. A., & Guirin, I. A. 2003, Lebedev Phys. Institute Preprint, 31, 30p. Likhachev, S. F.,Multi-Frequency Imaging for VLBI, Future Directions in High Resolution Astronomy, in print. ...

Blackholes2 Forum Message . Forums: . Atm ћ Astrophotography ћ Blackholes ћ Blackholes2 ћ CCD ћ Celestron ћ Domes ћ Education . ... Post . ... Could This Be Considered The .. ... Post Message | ... www.astronomy.net . About Astronomy Net | ... Unless otherwise specified, web site content Copyright 1994-2016 John Huggins All Rights Reserved . Forum posts are Copyright their authors as specified in the heading above the post. "dbHTML," "AstroGuide," "ASTRONOMY.NET" & "VA.NET" . ...

On optical characteristics of non-spherical scatterers . ... Usually one assumes that the radiation from a very distant source is incident on a scatterer and then this radiation can be represented by a plane wave . ... Amplitude matrix . ... The elements of the amplitude matrix on the directions of propagation of the incident and scattered radiations, the size, morphology and chemical composition of the scatterer as well as its orientation in the laboratory system. ... Scattering matrix . ...

... 2008 December 14 . Zodiacal Light Over New Mexico . ... Once considered a false dawn , this triangle of light is actually Zodiacal Light , light reflected from interplanetary dust particles . ... Zodiacal light is so bright this time of year because the dust band is oriented nearly vertical at sunrise, so that the thick air near the horizon does not block out relatively bright reflecting dust . ... Note: APOD Editor to Speak in New York on Jan. ... About APOD | ...

... The procedure of radiometer signal integration can be considered as a sort of reducing dimension of the initial sampling space, where the samples are the result of analog-to-digital conversion. ... The probability distribution of the signal and spikes is completely known. ... The quality of the considered algorithm could be also illustrated by Figure 2 . ... One could see the considered adaptive algorithm is preferable even by low degree of compression, because all spikes have been depressed. ...

spaceweb@oulu.fi - last update: 28 May 1995, 0800 UT . Advanced plasma theories are extremely important when one tries to explain, for example, the various waves and instabilities found in the plasma environment. ... In the kinetic theory it is necessary to know only the distribution function for the system of particles. ... The dependence of the distribution function on the independent variables r , v , and t is governed by an equation known as the Boltzmann equation . ... Hot plasma theory . ...

... The upward propagating HF wave is reflected at a particular height. ... The instabilities seen by the radar shortly after the HF is turned on can be divided into two types according to the degree of sophistication required in the model describing the response to the E field of the HF wave. ... The first kind occurs at a particular height determined by k vector and frequency matching conditions on the HF wave, the low and high frequency plasma waves, and the radar EM wave. ... Incoherent Scatter . ...

M1 image More About M1 Nice Color Picture . ... M16 image More About M16 HST image . ... M31 image More About M31 Nice Color Picture . ... M42 image ; M43 image More About M42/43 Nice Color CCD Picture . M51 image More About M51 Color Image of M51 M51 Supernova . M57 image More About M57 Nice Color CCD Picture Very Deep M57 Image . ... M81 image More About M81 M81 Supernova Ultraviolet Image of M81 More about Ultraviolet Imaging . M82 image More About M82 M82 False Color M82 True Color . ...

... stars . ... Could gas giants be considered stars that failed to ignite? ... The distinction between gas giant planets and brown dwarfs ("failed stars") is a vague one. ... It depends on what gas giant youт??re looking at and how you distinguish a т??planetт?? from a т??failed star.т?? A gas giant found in orbit around a star might be considered a planet like Jupiter around the Sun. An isolated gas giant is probably a failed star. ... Get instant access to subscriber content on Astronomy.com! ...

... We considered our current level of technology compared to that of an average alien civilization. Regardless of any modest value of L chosen?500 years, 5000 years, or longer?their level of technology is vastly advanced compared to ours. Thus, most science fiction gets it right by having advanced alien technology, but gets it wrong by not making them sufficiently advanced. ... What would alien civilizations at a distance of 100 or 1000 lightyears know of us (hypothetically)? ... Education . ...

... 24-Sep-14 JOURNиES 2014 Investigation · checking possibility of nutation rates estimation based on RLG observations simulation level · combination of simulated RLG data with real VLBI data · comparison of estimates based on real RLG data (Wettzell) with results of simulation 24-Sep-14 JOURNиES 2014 Simulation ... 10-8) 24-Sep-14 JOURNиES 2014 Simulated data + VLBI (ac. lev. ...

Next: The Stopping Radius in Up: ``Ecology'' of Magnetic Rotators Previous: The Environment of the . Now we consider qualitatively the effect of the electromagnetic field of a magnetic rotator on the accreting plasma. ... What is important is that both relativistic particles and magnetic dipole radiation will transfer their momentum and hence exert pressure on the accreting plasma. ... 2) The pressure of the accreting plasma is high enough to permit the plasma to enter the light cylinder . ...