扁率对Hill稳定范围的影响

THE EFFECT OF OBLATENESS ON THE STABLE RADIUS IN THE LIAPUNOV-HILL SENSE

Hill（1878）在研究月球运动理论时,曾利用限制性三体问题中的Jacobi积分定义了一种稳定性,通常称为Hill意义F的稳定。Szebehely（1976）在讨论月球运动在Hill意义下的稳定性问题时,引入S=(Cac-Ccr)/Ccr作为对这种稳定性程度的量度。其中Cac是小天体的Jacobi常数的实际值,Ccr是它在共线平动点L1和L1处的临界值。当S>O时。

On the basis of the circular restricted three-body problem in which the two primaries are all oblate spheroid, the effect of oblateness of the primaries on the stable conditions of the third particle in the Hill sense has been discussed. Their stable radius and escape radius for the two primaries have been also given. If these results are applied to the binary system, the spheres in which the two components of close binary can or can not exchange matter one another and the range in which matter can escape from the binary system can be estimated. Finally, the results obtained, have been also discussed.