Three-body orbital stability criteria for circular orbits
Three-body orbital stability criteria for circular orbits
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DOI：
10.1093/mnras/254.1.21
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发表时间：
1992
影响因子：
4.8
通讯作者：
J. R. Donnison;D. F. Mikulskis
中科院分区：
文献类型：
--
作者：
J. R. Donnison;D. F. Mikulskis
Harrington(1972，Cel.)以前对三体系统稳定性的研究。Mech，1；1975，AJ，80和1977，AJ，82)，以及Black(1982，AJ，87)，Graziani&Black(1981，APJ，251)和Pendleton&Black(1983，AJ，88)给出了相互矛盾的结果。对这类系统的新的数值检验和相应的稳定性判据表明，对于第三分量的很大和很小的值，Black函数给出了一般的定性行为；而对于接近等质量情况的范围，Harrington判据更合适。这两个判据都不是令人满意的，但是我们发现新的结果与用解析的c~2H方法得到的定量结果是非常一致的。
Previous investigations of the stability of hierarchical three-body systems by Harrington (1972, Cel. Mech., 1; 1975, AJ, 80 and 1977, AJ, 82), and by Black (1982, AJ, 87), Graziani & Black (1981, ApJ, 251) and Pendleton & Black (1983, AJ, 88) give conflicting results. A new numerical examination of such systems and the corresponding stability criteria indicate that the Black functions give the general qualitative behaviour for very large and very small values of the third component; while for the range close to the equal-mass case the Harrington criterion is the more appropriate. Neither criterion was found to be satisfactory but it was found that the new results obtained are, however, in very good quantitative agreement with those obtained from the analytical c 2 H method