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1.
Zdeněk Kopal 《Astrophysics and Space Science》1979,66(1):91-101
The aim of the present paper has been two-fold. In the first part (Sections 1–2), closed algebraic formulae will be set up furnishing the momentsA
of the light curves of arbitrary index , and, due to arbitrary type of eclipses, in terms of the coefficientsa
of Fourier cosine series obtained by least-squares fit to the given data; and the uncertainty of the momentsA
deduced from that of thea
's.In the second part (Sections 3–4) we shall establish the explicit forms of the lincar functions r
1,2, (cosi) and L
1 for the variation of the respective elements expressible likewise in terms of the Fourier coefficientsa
. The probable errors of these elements can then be identified with those of the respective linear functions, and are obtainable from the same matrix of coefficients which furnished the most probable values of the elements. 相似文献
2.
The accuracy of the approximate replacement of the frequency meanj() of the total intensityJ
() byJ
c+a{J
0()–J
c} by Geovenelli, whereJ
c is the total intensity at the continuum,J
0() is that at the line center anda is independent of depth, is studied. Numerical calculations for strong solar lines show very high values of the residual intensities. A slight change in the approximation is then suggested to get a result quite consistent with observational and existing calculated data. 相似文献
3.
The linear equation (2.14) describing the dynamical evolution of density perturbation in an expanding universe is not able to determine the form of power-spectrum |k|2, i.e. the energy distribution with respect to wave numbers k. However, in the case of weak turbulence, we may construct the kinetic equation for the wave modes of an oscillating universe with k > kJ (the Jean wavenumber). For the growing modes with long-wavelength in the range k < kJ after recombination, the perturbations are of vortex-like and their relative amplitudes are large (but we still study the case frac < 1); owing to the non-linear interactions, the system of the perturbations will finally towards a statistical equilibrium. In cases of both above, we obtain the primeval spectra in the form of | <>k | 2 k0, which are fitting to the self-similar clustering picture. 相似文献
4.
Two sets of accurate approximate expressions for the gyrosynchrotron radiation in the transverse propagation case are presented for the first time. They contain emissivity –/BNand absorptivity –
B/Nfor e-mode, effective temperature T
effand frequency of peak brightness p. The expressions are designed for the range 2 to 7 of electron energy spectral index and for the ranges from 2 to 10 and 10 to 100 of harmonic numbers s(=/B). Their statistical error is, respectively, ±18% and ±29% for –/BNand –
B/Nfor 10/B100, ±128% and and ±170% for 2/B10. 相似文献
5.
Jiann-Tsorng Horng 《Astrophysics and Space Science》1975,34(2):L1-L5
Cyclotron waves in the solar wind near 1 AU with frequencies well below the electron cyclotron frequency and wavelengths much larger than the electron cyclotron radius but less than the proton cyclotron radius are considered. The cyclotron radii are defined from parallel thermal velocity of electron component and proton component with respect to the interplanetary magnetic field. No LH cyclotron waves are found to propagate for
p
< 0, where
p
1 –T
p/T
p is the temperature anisotropy of the proton component with respect to the interplanetary magnetic field. The damping or growth of RH cyclotron waves is found to depend on the frequency range and the temperature anisotropy of the proton component. The RH cyclotron waves are damped in the frequency range
r
|
p
|
p
for
p
< 0, where
p
is the proton cyclotron frequency. RH cyclotron instabilities occur in the frequency range |
p
|
p
>
r
> |
p
|
p
/(1–
r
) for
p
< 0. The marginal state is at
r
=|
p
|
p
.Abstract presented at theInternational Symposium on Solar-Terrestrial, São Paulo, Brazil, 17–22 June, 1974 相似文献
6.
A model of a first generation intermediate star of 5M
, with Z=0 has been considered. The model is at an advanced stage of its evolution and has a double shell burning. It burns helium in the inner shell, and hydrogen, via CNO cycle, in the outer shell.
=(log/log)
T
and
T
=(log/logT)
were computed allowing for the oscillations of the relative mass abundance of the reagents in nuclear reactions. Including
=(log/log)
T
and
=(log/logT)
of mean molecular weight and the effect of the oscillations of abundances due to nuclear reactions, stability was studied. Contrary to the results of the static calculations, we found that instability due to the excitation mechanism provided by the high temperature sensitivity of energy generation rate propagates up to the surface. Thus the model in question was found to be unstable against radial adiabatic pulsations, in its fundamental mode. 相似文献
7.
P. M. Papaelias 《Earth, Moon, and Planets》1993,60(1):41-46
Antimatter meteors probably enter the Earth's atmosphere. If they have the ability to escape complete vaporization during their infall flight, it may be possible, that a fraction of their original mass could survive for short or long time, depending on the mechanisms of ablation. In case of ablation through the annihilation process only, the lifetime of such an object is following the simple relation = (N
L
R)/(rA), where andA are the density and the atomic weight of the antimatter fragment respectively,R is its radius,r is the rate of annihilation per cm2 of its surface, and N
L
is the Loschmidt number. 相似文献
8.
Boris Garfinkel 《Celestial Mechanics and Dynamical Astronomy》1983,30(4):373-383
In a previous publication (1977) the author has constructed a family () of long-periodic orbits in the Trojan case of the restricted problems of three bodies. Here he constructs the domain of the analytical solution of the problem of the motion, excluding the vicinity of thecritical divisor which vanishes at the exact commensurability of the natural frequencies 1 and 2. In terms of thecritical masses mj(2), or the associatedcritical energies
j
2
(m), is the intersection of the intervals ofshallow resonance, of the form. Inasmuch as the intervals |2–
j
2
|<j ofdeep resonance aredisjoint, it follows that (1) the disjointed family () embraces the tadpole branch, 021, lying in: and (2) despite the clustering of
j
2
(m) atj=, the family () includes, for 2=1, an asymptoticseparatrix that terminates the branch in the vicinity of the Lagrangian pointL
3.In a similar manner, the family () can be extended to the horseshoe branch 1<2
2
2
. 相似文献
9.
Masaya Saitou 《Astrophysics and Space Science》1989,162(1):47-56
Some peculiarities in the behaviour of a model self-gravitating system described by hydrodynamical equations and isothermal equation of state connected with the presence of thermodynamical fluctuations in real systems were investigated in numerical experiment. The values of density and velocity , , respectively, were computed by numerical code perturbed on each time-step and in each computational cell by random values , for modeling such fluctuations. Perturbed values
i
=
i
+
i
,v
i
=
i
+ v
i
were used to initiate the next step of computations. This procedure is equivalent to an introduction into original hydrodynamical equations of Langevin sources which are random functions. It is shown that these small fluctuations (= v =0,2 =v
2 = 10–8) grow many times in marginally-stable state. 相似文献
10.
S. Ferraz-Mello M. Tsuchida J. C. Klafke 《Celestial Mechanics and Dynamical Astronomy》1993,55(1):25-45
Exact corotations are equilibrium points in the phase space of the asteroidal elliptic restricted problem of three bodies averaged over the synodic period, at a mean-motions resonance. If the resonant critical angle is =(p+q)
jup
–p–q, exact corotations are double resonant motions defined by the conditionsd/dt=0 andd(–
jup
)/dt=0. The first condition is characteristic of the periods resonance(p + q) : p and the second one is a secular resonance equivalent to that usually known as thev
5-resonance. This paper presents the symmetric solutions =0 (mod ), =
jup
(mod ). Corotations have a coherence property which is unique in non-collisional Celestial Mechanics: An elementary calculation shows that, in the neighbourhood of these solutions, the motions cluster aroundp independent longitude values and are, in each cluster, as close together as and are close to the equilibrium values. 相似文献
11.
Basil Zafiropoulos 《Astrophysics and Space Science》1987,139(1):111-128
The equations for the variation of the osculating elements of a satellite moving in an axi-symmetric gravitational field are integrated to yield the complete first-order perturbations for the elements of the orbit. The expressions obtained include the effects produced by the second to eighth spherical harmonics. The orbital elements are presented in the most general form of summations by means of Hansen coefficients. Due to their general forms it is a simple matter to estimate the perturbations of any higher harmonic by simply increasing the index of summation. Finally, this paper gives the respective general expressions for the secular perturbations of the orbital elements. The formulae presented should be useful for the reductions of Earth-satellite observations and geopotential studies based on them.List of Symbols
semi-major axis
- C
jk
n
(, )
cosine functions of and
-
e
eccentricity of the orbit
-
f
acceleration vector of perturbing force
-
f
sin2t
- i
inclination of the orbit
-
J
n
coefficients in the potential expansion
-
M
mean anomaly
-
n
mean motion
-
p
semi-latus rectum of the orbit
-
R, S, andW
components of the perturbing acceleration
-
r
radius-vector of satellite
-
r
magnitude ofr
-
S
jk
n
(, )
sine functions of and
-
T
time of perigee passage
-
u
argument of latitude
-
U
gravitational potential
-
true anomaly
-
V
perturbing potential
-
G(M++m) (gravitational constant times the sum of the masses of Earth and satellite)
- n,k
coefficients ofR component of disturbing acceleration (funtions off)
- n,k
coefficients ofS andW components of disturbing acceleration (functions off)
-
mean anomaly at timet=0
-
X
0
n,m
zero-order Hansen coefficients
-
argument of perigee
-
right ascension of the ascending node 相似文献
12.
V. F. Litvin F. M. Holzmann B. S. Taibin A. V. Smirnov E. T. Grebenkina V. N. Baryshnikov V. V. Orlov J. P. Anosova G. D. Polyakova 《Astrophysics and Space Science》1994,215(2):245-261
The diagramV - log(1 +z
e
) as function of (, ) is considered for the quasars. HereV is the apparent visual magnitude,z
e
is the emission line redshift, and are the equatorial coordinates. Two opposite extreme spots NE and SE are observed on the sky, where the inclination of the straight line fitting the dependenceV - log(1 +z
e
) is maximum and minimum. The coordinates of the centres of these extreme spots are (
NE,
NE) = (282°, +42°) and (
SE,
SE) = (70°, -38°) with errors 5°. A hypothesis of the Superattractor (SA) is proposed to explain such an effect. Two independent tests of this hypothesis are realized. First, the dependence or the frequency a of the absorbers in QSO spectra on (, ) is investigated. A region of the larger a is found. The coordinates of its centre are (, ) = (82°, - 10°) with error 5°. Second, the cases ofz
a
>z
e
are plotted in the Mercatorial projection (, ). The most of the casesz
-z
e
> 0.02 are concentrated within the circle with radiusR = 34° and centre (, ) = (50°, - 15°). The both anomalous regions overlap the Southern extreme spot around SE. The SA direction is (, ) = (67°, -21°) with errors about 12°. The redshift of SA isz
SA = 1.7 ± 0.3 that corresponds to the distancer
SA = (3100 ± 300)h
–1 Mpc for the Hubble constantH
0 = 75h kms–1 Mpc–1. The SA mass isM
SA ~ 1018-1020
M
. The orientation of the normal to the quasiperiodical large-scale sheet structure on the sky occurs near SA. 相似文献
13.
E. E. Shnol 《Celestial Mechanics and Dynamical Astronomy》1984,33(2):159-167
The equilibrium point O of an autonomous Hamiltonian system of two degrees of freedom is considered for small-oscillation frequencies related as 2=21+. If under the precise resonance (=0) the equilibrium is unstable, the inner diameter () of the domain of stability containing the point O is estimated. It is shown that for the normalized variables ()/b where b is the corresponding resonance coefficient. The estimates () for other main resonances are reported. 相似文献
14.
Explosions of quasars and young galaxies at large redshifts must cause propagation of blast waves in the metagalactic medium. The shock waves formed can, during the radiative cooling stage, produce dense cold spherical shells around the epicentres of explosions. But, even before that, at the stage of adiabatic expansion, each spherical shock-wave front, if it lies on one line-of-sight with a more distant quasar, can imprint into the quasar spectrum a specific absorption doublet with a distance between the components (in the rest frame) 0 3 Å. The L doublet components have a small but the same equivalent widthW
0 0.3 Å, the ratioW
0/0 weakly depending onW
0 ifW
0 is small. We demonstrate here that such absorption L doublets are really present among the L forest in the absorption spectra of distant quasars which are, according to Sargentet al. (1980), of mostly intervening (and not intrinsic) origin. Further accumulation of data on absorption doublets, which can serve as direct indicators of metagalactic shock-waves, may provide valuable information about the physical conditions in the metagalactic gas at large redshifts. 相似文献
15.
Frank Q. Orrall 《Solar physics》1972,23(1):30-46
An expression is derived for the fluctuation (t) in emergent intensity (observed at some wavelength in a Fraunhofer line or the continuum) caused by a perturbation in temperature (z, t) in the Sun's atmosphere. If the contribution function for the observed intensity is single-peaked near z
and if (z) and p(z) are not too rapidly varying, then
(t) m
(z
, t)+N
p(z
, t) where m
and N
depend on the structure of the atmosphere. We compute M, N, and contribution functions for several values of and in the inner wings of the K line (13933 Caii).Presently on leave of absence from the Institute for Astronomy, Honolulu, Hawaii.The National Center for Atmospheric Research is sponsored by the National Science Foundation. 相似文献
16.
The optical depth at the head of the Lyman continuum,
H, is determined at a number of positions in three hedgerow prominences using spectroheliograms (5 × 5 resolution) of C III 977, LC 896, and O IV 554 observed with the Harvard experiment on Skylab. At heights greater than 10 above the limb the maximum value of
H is 30 to 50, which occurs at the central part of the prominences. For one of the prominences the determination of
H is found to be consistent with data from spectroheliograms of Mg X 625. The degree of ionization of hydrogen is estimated from the intensity of LC 896 at
H 1. In the central part of a model prominence N
P/N
HI1.9 for a reasonable range of the electron densities, where N
P and N
HI are the proton density and the neutral hydrogen density, respectively. 相似文献
17.
I–III . , . t0 ( ), . , , t0, , , (1963). t0 . t0 , . , t0 . . 1–3.
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18.
19.
An analysis of the effects of Hall current on hydromagnetic free-convective flow through a porous medium bounded by a vertical plate is theoretically investigated when a strong magnetic field is imposed in a direction which is perpendicular to the free stream and makes an angle to the vertical direction. The influence of Hall currents on the flow is studied for various values of .Nomenclature
c
p
specific heat at constant pressure
-
e
electrical charge
-
E
Eckert number
-
E
electrical field intensity
-
g
acceleration due to gravity
-
G
Grashof number
-
H
0
applied magnetic field
-
H
magnetic field intensity
- (j
x
, j
y
, j
z
)
components of current densityJ
-
J
current density
-
K
permeability of porous medium
-
M
magnetic parameter
-
m
Hall parameter
-
n
e
electron number density
-
P
Prandtl number
-
q
velocity vector
- (T, T
w
, T
)
temperature
-
t
time
- (u, v, w)
components of the velocity vectorq
-
U
0
uniform velocity
-
v
0
suction velocity
- (x, y, z)
Cartesian coordinates
Greek Symbols
angle
-
coefficient of volume expansion
- e
cyclotron frequency
-
frequency
-
dimensionless temperature
-
thermal conductivity
-
coefficient of viscosity
-
magnetic permeability
-
kinematic viscosity
-
mass density of fluid
- e
charge density
-
electrical conductivity
- e
electron collision time 相似文献
20.
В. М. Чаругин 《Astrophysics and Space Science》1975,37(2):441-447
, . N/E, E
r, (E
r)=1. , (, ) . . 相似文献