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1.
讨论了由平气定朔注历的宋代历法中,闰月的安排。根据太阳和月亮运动不均匀性改正,建立了朔望月长度的数值模型。通过比较分析2中气间距和朔望月长度,指出由于中气与定朔同日,在4种情况下使得闰月被提前1个月,在极少数的情况下会使闰月提前2个月。这为中国古代历谱的复原与考证提供了直接依据。 相似文献
2.
宣明历是唐代行用最长的优秀历法。它关于日月运动、交食的认识和计算方法比大衍历有进步,本文对它的定朔计算精度及现存的敦煌宣明历书作了研究。 相似文献
3.
论证一行《大衍历》（Ａ．Ｄ．７２９）的二次不等间距插值法和刘焯《皇极历》（Ａ．Ｄ．６０４）的二次等间距插值法的实质完全相同，并没有一般所说的推广意义；否定了以往人们关于一行有意识地应用了三次插值法近似公式的说法． 相似文献
4.
《天文学报》2014,(4)
根据明末邢云路所撰《戊申立春考证》,通过历法推步结果与实测数据的比验,详细考察了邢氏确定明万历三十六年(1608年)立春节气时刻的推演过程.分析了邢氏观测误差约2°的原因.完整给出依《授时历》和《大统历》推步该年的气朔结果,两者仅立春异日.且邢氏实测所得立春时刻=14.912333 d和年长=365.2421 90 d与《授时历》的符合率远优于《大统历》.古代的节气测算方法并不精确,为褒《授时历》贬《大统历》,邢氏有隐匿数据和修改数据之嫌,但实测年长史上最佳亦不排除巧合.给出邢氏为使历法推步结果与实测密合可能所做的数据调整方案,包括历数及观测数据的修改. 相似文献
5.
中国古历定朔推步综述 总被引：10，自引：0，他引：10
“朔”简言之表日月黄经相等，先民对其认识经历了一个从平朔到定朔的过程，通过研究古历，文中分析并归纳了不同时期中国古历日制度的基本元素之一－朔的两种推步方法：“积年法”和“《授时历》法”，其中包括平朔，日躔，月离，及定朔的推步方法等；得出了由各历的基本历数直接推出的中国古历定朔计算的一般公式，同时亦给出了《授时历》的推朔法和部分算例。 相似文献
6.
历书是历法的民用本.考察了明嘉靖六年(1527年)<大统历>历书,根据历书所颁朔日和节气时刻,以及先期恢复的<授时历>和<大统历>推步术,并利用现代天文历算结果,可考校得出:(1)历书所载朔日和节气日期、时刻确由<大统历>推得;(2)<大统历>与<授时历>推步结果存在差异,推朔平均差33.35 min或34.93 min,推气平均差86.40 min,且两者均有差1日现象;(3)<大统历>与现代推算合朔时刻的平均误差为24.50 min或44.03 min,与现代推算节气时刻的差平均为1.25 d,若扣除太阳中心差则节气推步的误差将减少到86.40 min. 相似文献
7.
中国古代太阳中天观测及二至点测算精度 总被引：1，自引：0，他引：1
研究了元代《授时历议))所保存的天象观测和推步资料，得出：(1)在AD1277—1280年问所作的98次太阳中天观测的时刻及地平高度的绝对值平均误差分别为2．64min和6．78′．(2)6部古历——《大衍历》、《宣明历》、《纪元历》、《统天历》、《重修大明历》和《授时历》推步BC522年前的3个冬至时刻的误差范围为0．97—3．51d；而AD435—1280年间的45个冬至时刻的绝对值平均误差则分别为9．35、10．42、5．54、2．97、5．68、3．36h．(3)古代确定的AD442—1280年间的16个二至时刻的绝对值平均误差为199．59min，其中元代的误差为27．89min． 相似文献
8.
9.
五星运动的观测与研究是古代历法重要内容之一,也是检验历法疏密的主要方法之一,因此深受古代天文学家重视.《汉书·天文志》和《续汉书·天文志》记载有具体时间和位置的五星运动约160条.利用现代天文计算方法,对诸条进行计算、验证、分析与研究,并将正误结果用图和表反映出来.结果表明:160条记录中绝大多数是准确和比较准确的,占77.5%.错误的仅有36条,占22.5%.此外,160条行星运动记录中,其中有3种典型的或者说特殊的运动形态,即"守"、"合"、"犯"的运动分别占总数9%(14条),14%(22条)和29%(46条).对这3种特殊的运动形态进行了深入细致的分析研究,结果列于图表中.研究表明:汉代的行星运动记录为观测实录,至于36条错误记录,错误原因是多方面的,但主要是后人对观测资料加工、整理、编辑和出版时造成的. 相似文献
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11.
L. S. Marochnik 《Astrophysics and Space Science》1983,89(1):61-75
The solar system's position in the Galaxy is an exclusive one, since the Sun is close to the corotation circle, which is the place where the angular velocity of the galactic differential rotation is equal to that of density waves displaying as spiral arms. Each galaxy contains only one corotation circle; therefore, it is an exceptional place. In the Galaxy, the deviation of the Sun from the corotation is very small — it is equal to ΔR/R ⊙≈0.03, where ΔR=R c ?R ⊙,R c is the corotation distance from the galactic center andR ⊙ is the Sun's distance from the galactic center. The special conditions of the Sun's position in the Galaxy explain the origin of the fundamental cosmogony timescalesT 1≈4.6×109 yr,T 2?108 yr,T 3?106 yr detected by the radioactive decay of various nuclides. The timescaleT 1 (the solar system's ‘lifetime’) is the protosolar cloud lifetime in a space between the galactic spiral arms. The timescaleT 2 is the presolar cloud lifetime in a spiral arm.T 3 is a timescale of hydrodynamical processes of a cloud-wave interaction. The possibility of the natural explanation of the cosmogony timescales by the unified process (on condition that the Sun is near the state of corotation) can become an argument in favour of the fact that the nearness to the corotation is necessary for the formation of systems similar to the Solar system. If the special position of the Sun is not incidental, then the corotation circles of our Galaxy, as well as those of other galaxies, are just regions where situations similar to ours are likely to be found. 相似文献
12.
Yoshio Kubo 《Celestial Mechanics and Dynamical Astronomy》1982,26(1):97-112
Perturbations in the motion of the Moon are computed for the effect by the oblateness of the Earth and for the indirect effect of planets. Based on Delaunay's analytical solution of the main problem, the computations are performed by a method of Fourier series operation. The effect of the oblateness of the Earth is obtained to the second order, partly adopting an analytical evaluation. Both in longitude and latitude are found a few terms whose coefficient differs from the current lunar ephemeris based on Brown's theory by about 0.01. While, concerning the indirect effect of planets, several periodic terms in the current ephemeris seem to have errors reaching 0.05.As for the secular variations of
and due to the figure of the Earth and the indirect effect of planets, the newly-computed values agree within 1/cy with Brown's results reduced to the same values of the parameters. Further, the accelerations in the mean longitude,
and caused by the secular changes in the eccentricity of the Earth's orbite and in the obliquity of the ecliptic are obtained. The comparison with Brown shows an agreement within 0.3/cy2 for the former cause and 0.02/cy2 for the latter. An error is found in the argument of the principal term for the perturbations due to the ecliptic motion in the current ephemeris.Proceedings of the Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets. Facultés universitaires Notre Dame de la Paix, Namur, Belgium, 28–31 July, 1980. 相似文献
13.
In this paper we first emphasize why it is important to know the successive zonal harmonics of the Sun's figure with high
accuracy: mainly fundamental astrometry, helioseismology, planetary motions and relativistic effects. Then we briefly comment
why the Sun appears oblate, going back to primitive definitions in order to underline some discrepancies in theories and to
emphasize again the relevant hypotheses. We propose a new theoretical approach entirely based on an expansion in terms of
Legendre's functions, including the differential rotation of the Sun at the surface. This permits linking the two first spherical
harmonic coefficients (J
2 and J
4) with the geometric parameters that can be measured on the Sun (equatorial and polar radii). We emphasize the difficulties
in inferring gravitational oblateness from visual measurements of the geometric oblateness, and more generally a dynamical
flattening. Results are given for different observed rotational laws. It is shown that the surface oblateness is surely upper
bounded by 11 milliarcsecond. As a consequence of the observed surface and sub-surface differential rotation laws, we deduce
a measure of the two first gravitational harmonics, the quadrupole and the octopole moment of the Sun: J
2=−(6.13±2.52)×10−7 if all observed data are taken into account, and respectively, J
2=−(6.84±3.75)×10−7 if only sunspot data are considered, and J
2=−(3.49±1.86)×10−7 in the case of helioseismic data alone. The value deduced from all available data for the octopole is: J
4=(2.8±2.1)×10−12. These values are compared to some others found in the literature.
Supplementary material to this paper is available in electronic form at http://dx.doi.org/10.1023/A:1005238718479 相似文献
14.
E. L. Ruskol 《Earth, Moon, and Planets》1973,6(1-2):190-201
It is suggested that the overall early melting of the lunar surface is not necessary for the explanation of facts and that
the structure of highlands is more complicated than a solidified anorthositic ‘plot’. The early heating of the interior of
the Moon up to 1000K is really needed for the subsequent thermal history with the maximum melting 3.5 × 109 yr ago, to give the observed ages for mare basalts. This may be considered as an indication that the Moon during the accumulation
retained a portion of its gravitational energy converted into heat, which may occur only at rapid processes. A rapid (t < 103 yr) accretion of the Moon from the circumterrestrial swarm of small particles would give necessary temperature, but it is
not compatible with the characteristic time 108 yr of the replenishment of this swarm which is the same as the time-scale of the accumulation of the Earth. It is shown that
there were conditions in the circumterrestial swarm for the formation at a first stage of a few large protomoons. Their number
and position is evaluated from the simple formal laws of the growth of satellites in the vicinity of a planet. Such ‘systems’
of protomoons are compared with the observed multiple systems, and the conclusion is reached that there could have been not
more than 2–3 large protomoons with the Earth. The tidal evolution of protomoon orbits was short not only for the present
value of the tidal phase-lag but also for a considerably smaller value.
The coalescence of protomoons into a single Moon had to occur before the formation of the observed relief on the Moon. If
we accept the age 3.9 × 109 yr for the excavation of the Imbrium basin and ascribe the latter to the impact of an Earth satellite, this collision had
to be roughly at 30R, whereR is the radius of the Earth, because the Moon at that time had to be somewhere at this distance. Therefore, the protomoons
had to be orbiting inside 20–25R, and their coalescence had to occur more than 4.0x109 yr ago. The energy release at coalescence is equivalent to several hundred degrees and even 1000 K. The process is very rapid
(of the order of one hour). Therefore, the model is valid for the initial conditions of the Moon. 相似文献
15.
16.
B. P. Kondratyev 《Solar System Research》2013,47(1):1-10
A two-component theoretical model of the physical libration of the Moon in longitude is constructed with account taken of the viscosity of the core. In the new version, a hydrodynamic problem of motion of a fluid filling a solid rotating shell is solved. It is found that surfaces of equal angular velocity are spherical, and a velocity field of the fluid core of the Moon is described by elementary functions. A distribution of the internal pressure in the core is found. An angular momentum exchange between the fluid core and solid mantle is described by a third-order differential equation with a right-hand side. The roots of a characteristic equation are studied and the stability of rotation is proved. A libration angle as a function of time is found using the derived solution of the differential equation. Limiting cases of infinitely large and infinitely small viscosity are considered and an effect of lag of a libration phase from a phase of action of an external moment of forces is ascertained. This makes it possible to estimate the viscosity and sizes of the lunar fluid core from data of observations. 相似文献
17.
18.
M. V. Samokhin 《Astrophysics and Space Science》1979,62(1):159-183
In order to understand the reason of the existence of the electric field in the magnetosphere, and for the theoretical evaluation of its value, it is necessary to find the solution of the problem of determination of the magnetosphere boundary form in the frameworks of the continuum medium model which takes into account part of the magnetospheric plasma movement in supporting the magnetospheric boundary equilibrium. A number of problems for finding the distribution of the pressure, the density, the magnetic field and the electric field on the particular tangential discontinuity is considered in the case when the form of discontinuity is set (the direct problem) and a number of problems for finding the form of the discontinuity and the distribution of the above-mentioned physical quantities on the discontinuity is considered when the law of the change of the external pressure along the boundary is set (for example, with the help of the approximate Newton equation). The problem which is considered here, which deals with the calculation of the boundary form and with the calculation of the distribution of the corresponding physical quantities on the discontinuity of the 1st kind for the compressible fluid with the magnetic field with field lines which are perpendicular to the plane of the flow in question, concerns the last sort of problems. The comparison of the results of the calculation with the data in the equatorial cross-section of the magnetosphere demonstrates that the calculated form of the boundary, the value of the velocity of the return flow and the value of the electric field on the magnetopause, agree satisfactorily with the observational data. 相似文献
19.
A. M. Boichenko 《Astrophysics》2004,47(1):134-142
Observational data on the dynamics of stars in the neighborhood of the sun indicate the existence of a third integral besides the integrals of the angular momentum and energy. The Poincaré integral is proposed as a third integral. The consequences of this assumption are derived and compared with available astrophysical data. 相似文献