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Confrontation between Quantized Periods of Some Extra-Solar Planetary Systems and Observations

机译:某些太阳系行星系统的量化周期与观测之间的对峙

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A simple formula, using the quantum numbers of solar system planets and some quantized extra-solar planets, to estimate the periods, is done. The quantum numbers, calculated by other authors, have been used to find the orbital periods of solar system planets and some extra-solar planets. Observed periods have been used to compare them with the estimated periods from the given formula. It is found that the given relation is applicable perfectly for the solar system planets. Some extra-solar planets, of stars having approximately the same mass as the sun, are chosen to apply the same relation. The differences between the observed and calculated periods for the extra-solar systems have been calculated and tabulated. It is found that the percentage errors between the predicted values and the corresponding observed values for extra-planetary systems are controlled by the star’s mass and its quantum number. The percentage error decreases by increasing the quantum number, for quantum numbers over 4. When the quantum number is less than or equal 4, it is found that the percentage error decreases by decreasing the quantum number.
机译:一个简单的公式,使用太阳系行星和一些量化的太阳系外行星的量子数来估计周期。其他作者计算出的量子数已被用于寻找太阳系行星和某些太阳系外行星的轨道周期。观察期间已用于将其与给定公式中的估计期间进行比较。发现给定的关系完全适用于太阳系行星。选择一些恒星与太阳质量大致相同的太阳系外行星,以应用相同的关系。太阳系的观测和计算周期之间的差异已计算并制成表格。发现,行星外系统的预测值和相应观测值之间的百分比误差由恒星的质量及其量子数控制。对于超过4的量子数,通过增加量子数来减小百分比误差。当量子数小于或等于4时,发现通过减小量子数来减小百分比误差。

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