用儒略历计算火星-地球距离和火星轨道元素

Atared Y. Qahtan
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摘要

本文对火星轨道要素进行了计算。这些轨道元素——长轴、倾角(i)、升交点经度(W)、近地点角(W)和偏心率(e)——对于了解火星轨道的大小和形状至关重要。快速基本程序用于计算从1950年5月25日开始的10000天内火星与地球的轨道元素和距离。这些都是用Meeus的经验公式计算出来的,该公式依赖于儒略历,儒略历在10000天内略有变化;人们解出了开普勒方程,从而找到了火星的位置和它到太阳的距离。计算了火星的黄道坐标和赤道坐标。火星和地球中心之间的距离,以天文单位(au)计算。RM-E(min)在0.4763 ~ 0.5108之间,RM-E(max)在2.548 ~ 2.6259之间。此外,研究结果还表明,火星轨道元素随着时间的推移而发生了变化。
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Calculation Mars – Earth distance and Mars orbital elements with Julian date
In this paper, the Mars orbital elements were calculated. These orbital elements—the major axis, the inclination (i), the longitude of the ascending node (W), the argument of the perigee (w), and the eccentricity (e)—are essential to knowing the size and shape of Mars' orbit. The quick basic program was used to calculate the orbital elements and distance of Mars from the Earth from 25/5/1950 over 10000 days. These were calculated using the empirical formula of Meeus, which depended on the Julian date, which slightly changed for 10000 days; Kepler's equation was solved to find Mars' position and its distance from the Sun. The ecliptic and equatorial coordinates of Mars were calculated. The distance between Mars and the center of the Earth, in astronomical units (A.U.), was calculated. RM-E(min) was found to be between 0.4763 and 0.5108, and RM-E(max) was found to be between 2.548 and 2.6259. Furthermore, the findings revealed that the Mars orbital elements have changed over time. 
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