Approximation functions to the Emden and associated Emden functions near the first zero,II     

Albert P. Linnell 《Astrophysics and Space Science》1975,37(2):401-426

Improved analytic expressions are presented to approximate the Emden function, θ, and the associated Emden functionsθ and the associated Emden functions ψ₀ and ψ₂ near the first zero of θ at ξ₁. The error in θ and ψ₀ at ψ=1.5ψ₁ is not more than 0.000 001. The ψ₂ error at the same point is less than 0.000 05.  相似文献   

Cosmic ray anisotropies observed late in the decay phase of solar flare events     

F. R. Allum  R. A. R. Palmeira  K. G. McCracken  U. R. Rao  D. H. Fairfield  L. J. Gleeson 《Solar physics》1974,38(1):227-256

Concurrent interplanetary magnetic field and 0.7–7.6 MeV proton cosmic-ray anisotropy data obtained from instrumentation on Explorers 34 and 41 are examined for five cosmic-ray events in which we observe a persistent eastern-anisotropy phase late in the event (t ? 4 days). The direction of the anisotropy at such times shows remarkable invariance with respect to the direction of the magnetic field (which generally varies throughout the event) and it is also independent of particle species (electrons and protons) and particle speed over the range 0.06 ? β ? 0.56. The anisotropy is from the direction 38.3° ± 2.4° E of the solar radius vector, and is inferred to be orthogonal to the long term, mean interplanetary field direction. Both the amplitude of the anisotropy and the decay time constant show a strong dependence on the magnetic field azimuth. Detailed comparison of the anisotropy and the magnetic field data shows that the simple model of convection plus diffusion parallel to the magnetic field is applicable for this phase of the flare effect. It is demonstrated that contemporary theories do not predict the invariance of the direction as observed, even when the magnetic field is steady; these theories need extension to take into account the magnetic field direction ψ varying from its mean direction ψ _o. It is shown that the late phase anisotropy vector is not expected to be everywhere perpendicular to the mean magnetic field. The suggestion that we are observing kinks in the magnetic field moving radially outwards from the Sun leads to the conclusion that the parallel diffusion coefficient varies as 1/cos² (ψ ? ψ _o). Density gradients in the late decay phase are estimated to be ≈ 700%∣AU for 0.7–7.6 MeV protons. A simple theory reproduces the dependence of the decay time constant on anisotropy; it also leads to a radial density gradient of about 1000%∣AU and diffusion coefficient of 1.3 × 10²⁰ cm² s^?1.  相似文献   

Masses and radii of the components of 1016 Ori     

É. A. Vitrichenko  S. I. Plachinda 《Astronomy Letters》2001,27(9):581-589

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Dark Matter from the inflaton field     

A. de la Macorra 《Astroparticle Physics》2012,35(7):478-484

We present a model where inflation and Dark Matter takes place via a single scalar field ?. Without introducing any new parameters we are able unify inflation and Dark Matter using a scalar field ? that accounts for inflation at an early epoch while it gives a Dark Matter WIMP particle at low energies. After inflation our universe must be reheated and we must have a long period of radiation dominated before the epoch of Dark Matter. Typically the inflaton decays while it oscillates around the minimum of its potential. If the inflaton decay is not complete or sufficient then the remaining energy density of the inflaton after reheating must be fine tuned to give the correct amount of Dark Matter. An essential feature here, is that Dark Matter-Inflaton particle is produced at low energies without fine tuning or new parameters. This process uses the same coupling g as for the inflaton decay. Once the field ? becomes non-relativistic it will decouple as any WIMP particle, since n_? is exponentially suppressed. The correct amount of Dark Matter determines the cross section and we have a constraint between the coupling g and the mass m_o of ?. The unification scheme we present here has four free parameters, two for the scalar potential V(?) given by the inflation parameter λ of the quartic term and the mass m_o. The other two parameters are the coupling g between the inflaton ? and a scalar filed φ and the coupling h between φ with standard model particles ψ or χ. These four parameters are already present in models of inflation and reheating process, without considering Dark Matter. Therefore, our unification scheme does not increase the number of parameters and it accomplishes the desired unification between the inflaton and Dark Matter for free.  相似文献   

A note on the asymptotic density-potential relation of a spiral galaxy with a finite thickness     

Zeng-yuan Yue 《Chinese Astronomy and Astrophysics》1983,7(3):186-194

It is shown that the asymptotic σ₁(r) and ψ₁(r) relations can be derived very simply by using the method of double series expansion, where σ₁, ψ₁(r,0) and ψ₁ are the surface density perturbation, the gravitational potential perturbation at the symmetric plane Z=0 and the average potential perturbation respectively. The results are accurate to the order of both m²(kr)^?2 and k〈∣z∣〉, where m is the number of spiral arms, k is the radial wave number, r is the distance from the centre of the galaxy, and 〈∣z∣〉 is the average vertical distance of a star from the Symmetrie plane Z=0. Such an accuracy is usually sufficient for the discussion of spiral modes in a spiral galaxy of small but finite disk thickness. It is pointed out that ψ₁(r,0)～(σ₁(r) relation can be expressed in a unified form for different vertical density profiles if 〈∣z∣〉 is adopted as the thickness scale, and that ψ₁(r,0)～(σ₁(r) can be expressed in a unified form for different vertical density profiles if 〈∣z?z∣〉 the average vertical separation between two stars, is adopted as the thickness scale. Only the value of the ratio $\text{〈|z?z′|〉z}\text{〈|z|〉}$ is a functional of the vertical density profile. However, for the usual physically meaningful profiles, these values are very close to each other: It is $\text{2}$ for the Gaussian profile, $\text{1}\text{Ln}\text{2}\text{= 1.443}$ for the $\text{rmsech}{}^2\text{(}\text{z}\text{z}{}_1\text{(r)}\text{)}$ profile, and 1.5 for the $\text{exp}\text{[}\text{?|z|}\text{z}{}_1\text{(r)}\text{]}$ profile.  相似文献   

Investigation of ion acoustic solitons (IAS) in a weakly relativistic magnetized plasma     

B. C. Kalita  M. Deka 《Astrophysics and Space Science》2013,347(1):109-117

Compressive solitons of low and high amplitudes are established in this weakly relativistic and magnetized plasma model. The assigned direction of soliton propagation to the direction of the magnetic field, supplemented by the corresponding ion initial streaming speed (v _iξ0) determines the lower limit of the initial electron streaming speed (v _eξ0) in its interval of existence to produce solitons for a given value of the speed of light c. Further, lower limit of c specified by the corresponding energy (or temperature) to yield relativistic compressive solitons is also predicated. Interestingly, the increased initial streaming speed of electrons is found to play less effective role in the steepening growth of amplitudes of compressive solitons due to mode one than those corresponding to the mode two.  相似文献   

On the neutrino mass and the Lemaitre model     

《Chinese Astronomy and Astrophysics》1982,6(2):163-167

In the light of the experiments /3,4/ showing that neutrinos may have a non-zero rest-mass, we discuss the constraints placed on the cosmological term Λ and the Hubble constant H_o by such a mass and the age of the universe in the Lemaitre model. An upper limit of Λ of 15 × 10^?57/cm² and possible ranges of H_o are given.  相似文献   

The broad band spectral index of blazars in a low state     

Y. G. Zheng  X. Zhang  S. M. Hu 《Astrophysics and Space Science》2007,310(1-2):1-12

Using the broad band spectral index of 164 blazars in a low state, we studied the possible correlation between different broad band spectral index (α _r.ir , α _r.o , α _r.x , α _r.γ , α _ir.o , α _ir.x , α _ir.γ , α _o.x , α _o.γ , α _x.γ ). We also studied the possible correlation between different broad band spectral index of high-frequency peaked Bl Lac object (HBL), low-frequency peaked BL Lac object (LBL) and flat spectral radio quasars (FSRQs), respectively. The strong anti-correlations were found between α _r.o and α _o.γ , between α _r.o and α _x.γ in a low state for our blazar sample. For LBL and FSRQs, the strong anti-correlations were found between α _r.ir and α _ir.x , between α _r.o and α _o.x , and between α _r.o and α _o.γ in a low state. Based on these results, we suggested that the seed photons of the γ-ray drive from both the jet and the external accretion disk or the broad-line region, and that the subclasses of blazars seem to the different emission mechanism.  相似文献   

The first height measurements of the negative ion composition of the stratosphere     

A.A. Viggiano  F. Arnold 《Planetary and Space Science》1981,29(8):895-906

For the first time, height profiles of the stratospheric negative ion composition are presented. The results are from two nights of balloon borne mass spectrometers and cover an altitude range from 23.8 to 38.9 km. Below approx. 30km, NO^?₃ · mHNO₃ ions are dominant. These are replaced by HSO₄^? · nH₂SO₄ · oHNO₃ ions above this height. There are indications that the most abundant ions above 32 km have masses greater than 280 atomic mass units (amu), the instruments' mass range. The fractional ion count rates as a function of altitude are presented and their significance for neutral trace gas analysis and ion sampling is discussed.  相似文献   

Commensurable eccentric orbits near critical inclination     

R. R. Allan 《Celestial Mechanics and Dynamical Astronomy》1971,3(3):320-330

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Bifurcations of separatrices in the averaged planar general three-body problem at first-order resonance     

V. N. Shinkin 《Celestial Mechanics and Dynamical Astronomy》1994,60(3):307-315

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A simple expression for vertical convective fluxes in planetary atmospheres   总被引：1，自引：0，他引：1  

Ralph D Lorenz  Christopher P McKay 《Icarus》2003,165(2):407-413

We explore the vertical convective flux F_c in a radiative-convective grey atmosphere. An expression of the form F_c=F_sτ_o/(C+Dτ_o) appears useful, where F_s is the shortwave flux absorbed at the base of an atmosphere with longwave optical depth τ_o and C and D are constants. We find excellent agreement with an idealized grey radiative-convective model with no shortwave absorption for D=1 and C=1∼2 depending on the surface-atmosphere temperature contrast and on the imposed critical lapse rate. Where shortwave absorption is correlated with longwave opacity, as in the atmospheres of Earth and Titan, C=2, D=2 provides an excellent fit, validated against the present terrestrial situation and the results of a nongrey model of Titan's strongly antigreenhouse atmosphere under a wide range of conditions. The expression may be useful for studying the energetics of planetary climates through time where there is insufficient data to constrain more elaborate models.  相似文献   

Analytical evaluation of the relativistic thermodynamic functions using binomial expansion theorem and incomplete Gamma functions     

B.A. Mamedov 《New Astronomy》2012,17(3):353-355

A simple evaluation algorithm for calculation of the fermions and bosons relativistic thermodynamic functions with high accuracy is presented. This method is based on the use of the binomial expansion theorems and incomplete Gamma functions. The importance of this result is that it enables a series analytical formula to determine the thermodynamic functions of fermions and bosons in cases of degeneracy and relativity. The formulas obtained are numerically stable for ψ < 0. Examples of comparative calculations are given. Numerical results verify the effectiveness of the present approach and they are in good agreement with literature.  相似文献   

A third-order solution of Vinti's problem with explicit expressions for the poisson brackets     

《Chinese Astronomy and Astrophysics》1981,5(2):192-201

We have derived an explicit third-order solution of Vinti's problem including J₃. Poisson brackets for the elements a, e, s, M_s, ψ_s and $\text{Ω}{}_{\mathrm{s}}$ are given. These may be used in the construction of a third-order theory of artificial satellites.  相似文献   

Isofrequency pairing of circular orbits in Schwarzschild spacetime in the presence of magnetic field     

Sanjar Shaymatov  Farruh Atamurotov  Bobomurat Ahmedov 《Astrophysics and Space Science》2014,350(1):413-419

We study isofrequency pairing of the circular non-geodesic orbits in the vicinity of the Schwarzschild black hole immersed in external asymptotically uniform magnetic field. The dependence of the isofrequency pairing of non-geodesic orbits from the special quantities, such as radius of the innermost stable circular orbits (ISCO), radius of the circular orbits (r _b ) at the limit e(eccentricity)→0, and from the value of the small quantity ξ=(r _b ?r _ISCO) of the particles moving around the Schwarzschild black hole in the presence of the magnetic field has been found. It is shown that presence of the magnetic field gives rise to the r _ISCO and r _b of the particles to be slightly shifted from black hole and the contribution of the quantity ξ decreases the amount of isofrequency pairing of non-geodesic orbits due to the reduction of the surface of the region between the separatrix and circular-orbit duals (COD). We study the dependence of surface of region where particles can move and isofrequency pairing of non-geodesic orbits occur around the Schwarzschild black hole from the magnetic field. We find a decrease of nearly (7–10) % for the maximal values of the magnetic field B～10⁶–10⁷ Gauss in the surface of region where isofrequency pairing occurs around central object with compare to the one around Schwarzschild black hole without magnetic field. This result implies that it makes easier to identify signals through the astrophysical observations of compact objects in the presence of magnetic field.  相似文献   

Preliminary results on the determination of the theoretical nonadiabatic observable phase lag (ψT) using VIRGO color photometry     

R. Simoniello  R. Garrido  A. Jimnez 《Astronomische Nachrichten》2008,329(5):498-502

The helioseismic instruments aboard the SOHO satellite make it possible to measure solar oscillations as variations of the irradiance (VIRGO) or as variations of the photospheric velocity (GOLF). Theoretically, phase differences between different photometric bands are expected to be around 0 degrees over the p‐mode frequency range. By using VIRGO (red) and VIRGO (blue) data, we find a mean phase shift of 8.05 ± 1.81°, whereas by using VIRGO (green) and VIRGO (blue) data, we got a mean value of –1.04 ± 0.19°. Hence, when the analysis includes the VIRGO infrared range, the Sun's atmosphere does not follow an exact adiabatic behavior. In this study, we use the phase shifts obtained by VIRGO (green) and VIRGO (blue) to determine the non‐adiabatic parameter phase lag (ψ_T) as a function of frequency. To this aim, we applied the non radial linearized formula put in the complex form by Garrido: we found a mean value of ψ_T = 179.95°. The lowest value being ψ_T = 179.90°, the departure from theoretical predictions is less then a tenth of a degree over the entire p mode frequency range. We can state that the solar atmosphere has a behavior close to the adiabatic case, when the phase shifts and amplitude ratios are computed using VIRGO (green) and VIRGO (blue) data. Nevertheless this small deviation is significant. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)  相似文献   

Hydromagnetic waves driven by velocity shear instability in the magnetospheric boundary layer     

Kiyohumi Yumoto  Takao Saito 《Planetary and Space Science》1980,28(8):789-798

The bulk flow of the solar wind plasma in the flank-side of the magnetospheric boundary layer, where the magnetic field lines are closed, has a component transverse to the ambient field. There is quite a strong velocity shear. The theoretical model ignores inhomogeneities in the ambient field and the mass density which occur at the magnetopause on about the same length scale as that of the velocity shear.Consideration is restricted to hydromagnetic waves which have a k-vector nearly normal to the B_o-V_o plane, i.e., approximately the magnetopause surface (k_x >k_z ～ k_y′k_xL_B > 1 and L_B = 0.1 ～ 1.0 R_E where L_B is a characteristic length of the boundary layer). It is found that a long-period (T ? 40 sec) hydromagnetic wave [the Alfvén-like wave ($\text{Ω}{}_{\mathrm{<mtext>A</mtext>}}$)] driven by velocity shear instability can be excited in the shear plasma. It is also found that the group velocity of the HM-wave is directed almost along the magnetic field line and that the magnetic variance in the shear plasma tends to be parallel to the B_o-V_o plane. The velocity shear instability in the magnetospheric boundary layer is judged to be a likely source of long-period magnetic pulsations.  相似文献   

V2324 Cyg—an F-type star with fast wind     

V. G. Klochkova  E. L. Chentsov  V. E. Panchuk 《Astrophysical Bulletin》2008,63(2):112-127

High-resolution optical spectroscopy of the V2324 Cyg variable star associated with the IR source IRAS 20572+4919 is performed for the first time. More than 200 absorption features (mostly Fe II, Ti II, Cr II, Y II, Ba II, and Y II) are identified in the wavelength interval from 4549 to 7880 Å. The spectral type and rotation velocity of the star are found to be F0 III and V sin i = 69 km/s, respectively. Neutral-hydrogen and NaI D lines have complex P Cyg-type profiles. Neither systematic trend of radial velocity V_r with line depth R_o nor temporal variability of V_r have been found. We found that the value for the average heliocentric radial velocity is V_r = ?16.8 ± 0.6 km/s. The radial velocities inferred from the cores of the absorption components of the Hβ and NaI wind lines vary from ?140 to ?225 km/s (and the expansion velocities of the corresponding layers, from about 120 to 210 km/s). The maximum expansion velocity is found for the blue component of the split Hα absorption: 450 km/s for December 12, 1995. The method of model atmospheres is used to determine the following parameters of the star: effective temperature T _eff = 7500 K, surface gravity log g = 2.0, microturbulence velocity ξ _t = 6.0 km/s, and metallicity, which is equal to the solar value. The main peculiarity of the chemical composition of the star is the overabundance of lithium and sodium. The results cast some doubt on the classification of V2324 Cyg as a post-AGB star.  相似文献   

A polarimetric investigation of the eclipsing binary XY ursae majoris     

E. H. Geyer  K. Metz 《Astrophysics and Space Science》1977,52(2):351-356

On three nights in February 1976 we carried out polarimetric measurements, in V, of the short periodic eclipsing binary XY UMa, covering a complete cycle. The results are as follows:

1. Within all phase intervals the linear polarization does not exceed 0.1%.
2. In the phase range 0 ^p .95–1 ^p .35 the scatter of the Stokes parametersQ andU is about twice that within the phase interval 0 ^p .35–0 ^p .95.
3. A periodogram analysis of these data revealed a period of 21000 s, which is equal to half the orbital periodP _o=0^d.47899 within 1.5%.

From these we derive the conclusions that no circumstellar envelope can be made responsible for the observed long-term changes of the light curve and system brightness, supporting the earlier spectroscopic finding. The different scatter of the Stokes parameters at different phase intervals and theP _o/2 periodicity are in favor of the star spot model for XY UMa proposed by one of the authors (E. G.).  相似文献   

Green's theorem and Green's functions for the steady-state cosmic-ray equation of transport     

G. M. Webb  L. J. Gleeson 《Astrophysics and Space Science》1977,50(1):205-223

Green's Theorem is developed for the spherically-symmetric steady-state cosmic-ray equation of transport in interplanetary space. By means of it the momentum distribution functionF _o(r,p), (r=heliocentric distance,p=momentum) can be determined in a regionr _arr_bwhen a source is specified throughout the region and the momentum spectrum is specified on the boundaries atr _a andr _b . Evaluation requires a knowledge of the Green's function which corresponds to the solution for monoenergetic particles released at heliocentric radiusr _o , Examples of Green's functions are given for the caser _a =0,r _b = and derived for the cases of finiter _a andr _b . The diffusion coefficient is assumed of the form = _o(p)r ^b . The treatment systematizes the development of all analytic solutions for steady-state solar and galactic cosmic-ray propagation and previous solutions form a subset of the present solutions.  相似文献