Abstract
We next discuss some elements self-gravitating many body systems.
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Notes
- 1.
We shall assume gravitation according to Newton’s law. For astronomical systems, however, this may entail weak gravitational accelerations on the scale of or less than the cosmic scale \(cH_0\) of the velocity of light c times the Hubble parameter \(H_0\). In this regime, Newton’s law has not yet been established by first principle laboratory experiments.
- 2.
“If one cannot see gravity acting here, he has no soul.” R.P. Feynman, 1995, Six Easy Pieces , (Perseus Books), Chap. 5.
- 3.
- 4.
The tidal sphere has the effect of lowering the potential barrier for stars to escape in the direction \(L_1\) and \(L_2\) [8].
- 5.
For a recent discussion, see, e.g., [14].
- 6.
Possibly, there is further a soft magnetic moment-magnetic moment repulling force between them, induced by Saturn’s 1 Gauss magnetic field, nearly perfectly aligned with its spin axis and orthogonal to Saturn’s disk, that tends to contribute to stability.
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van Putten, M.H. (2017). Thermodynamics of N-body Systems. In: Introduction to Methods of Approximation in Physics and Astronomy. Undergraduate Lecture Notes in Physics. Springer, Singapore. https://doi.org/10.1007/978-981-10-2932-5_10
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