论文标题
太阳位置公式的推导
Derivation of Solar Position Formulae
论文作者
论文摘要
基于简化模型从轨道行星中看到的以下公式的衍生式：日出方向公式，太阳能偏斜公式，日出方程，日出持续时间公式，太阳高度公式，太阳方位公式。使用有效的轴向倾斜的概念和Rodrigues旋转公式，以及轨道象限的反射，以将一般情况减少到冬至的更简单的情况下。太阳能时间转换的太阳时间，日出，日落和太阳中午的推导。实现肛门计算器。将日出方向公式与304点数据集的实际日出数据的数据集进行比较，从地球获得1.25度的平均准确性，并在当前接受值的0.1度以内的地球轴向倾斜度为23.44度以内的地球轴向倾斜度为23.52度23.44度。
Derivation of the following formulae for solar position as seen from orbiting planet based on a simplified model: sunrise direction formula, solar declination formula, sunrise equation, daylight duration formula, solar altitude formula, solar azimuth formula. Use of notion of effective axial tilt, and Rodrigues Rotation Formula, and reflections of the orbital quadrants to reduce the general case to the simpler case of the day of the winter solstice. Derivation of equations for solar time to clock time conversion, and sunrise, sunset, and solar noon times. Implementation of an analemma calculator. Comparison of the sunrise direction formula with 304 point dataset of actual sunrise data from Earth, obtaining average accuracy of 1.25 degrees, and estimate of Earth's axial tilt of 23.52 degrees, within 0.1 degrees of the currently accepted value 23.44 degrees.
