太阳质量损失对高阶行星轨道的长期影响
The Influence of Solar Mass-Loss on a High Order Planetary Orbit
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摘要: 在文1研究的基础上给出了太阳质量损失对三阶行星轨道的影响解,并计算了二、三阶解的长期效应的数值结果。理论结果表明,在三阶解中对于质量变化模型k=3的情形,太阳质量损失对轨道半长轴继续产生长期项、混合项和周期项,但对轨道偏心率和近点角距只产生周期项,三阶解的效应值虽小,但有定性意义。Abstract: The influence of solar mass-loss on the planetary orbital elements in the high order solution, based on the previous work, is discussed.The numerical results for the influence of 2-3 order solution on the planetary orbital elements are calculated.The theoretical results show that in the third order solution the solar mass-loss will introduce the secular, mixed and periodic terms continually in the semimajor axis but only the periodic term produces in the eccentricity and the argument of perihelior of planetary orbits.Although the numerical effects are very less in the 2-3 order solution, but there is a qualitative meaning for the study of the stability of solar system.
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