摘要
为满足民用的需要，根据Ｎｅｗｃｏｍｂ太阳表，拟合了太阳视黄经的近似计算公式。给出的公式中只用一个以２０００年１月１日北京时间０ｈ起算的积日数ｔ为变量，且算式中均为初等代数及三角函数式，从而可方便地求解。本文忽略了历书时和世界时的差异所产生的误差及Ｎｅｗ－ｃｏｍｂ公式及数表中的１”以下的项；由不同周期和位相的小振幅三角函数叠加而成的大行星周期摄动项被略去，这是本文误差的主要来源。在１９００年至２１００年内，拟合公式中视黄经的最大时刻误差不超过１０ｍｉｎ。
According to Newcomb's Tables of the Sun,this paper simulates the form ulas of the approximate calculation of the Sun's apparent longitude in order to popularize the calculation of the Solar Terms and meet the needs of the average person. The Sun's apparent longitude is:λ= 279°. 64452+0°. 985647351t + (6'. 4sin (0°. 00055t +251°. 2) + 1'. 9sin (0°. 00411t +207°. 5) + 72'.3sin (1°. 97120t + 353°. 4) + (6892'. 8 -- 0'. 00047t )sin (0°. 98560t +356°. 7) -- 17'. 2sin (0°. 05295t + 54°. 9) -- 1'. 3sin (1°. 97129t + 200°. 9) +6'. 5sin(12°. 19074t+296°. 1 ) +dL2'--20'. 5)/3600'The argument t is the remainder of (t +0. 1667) divided by 583. 921,which belongs to [--30 554]. If t >554,then:t'=t'-- 583. 921When t'∈[-- 30 352),so: dL2'=8'. 9sin(0°. 942t'+28°. 3)When t'∈[352 554],therefore: dL2'=3'. 2sin(1°. 782t'+92°. 7)With t, the number of days from mean Bgijing time 0 hour, Jan. 1,2000,as the mere argument the a few elementary algebraic expressions and trigonometric functions, it is very convenient to find the solution. The paper ignores the errors due to the distinctions between universal time and ephemeris time, and neglects some terms whose values are less than 1' in the formulas and tables of Newcomb. The periodic perturbations of the principal planets, which are the sum of trigonometric functions of small amplitude with different periods the phases,are also omitted. It's the main source of the errors because this paper couldn't imitate these formulas. The maximum time errors of apparent longitude in the formulas are less than 10 minutes in the interval of 1900 to 2100.
出处
《南京大学学报（自然科学版）》
CSCD
1995年第3期369-376,共8页
Journal of Nanjing University（Natural Science）
关键词
视黄经
Nwecomb太阳表
太阳
节气时间
Apparent longitude
twenty-four solar terms
Newcomb's Tables of the Sun
