Tuesday, August 29, 2023

When resonance isn't our friend

Having peeked at 10 Hygiea I was pondering what makes an orbit chaotic. Turns out: same as what makes Io-Europa-Ganymede stable. It's our buddy the four-body problem - in the asteroids' case, the Sun anchors the system and the two outside bodies are Jupiter and Saturn. Thank the Astronomical Journal for freeing-up Nesvorný-Morbidelli. This was observed at 490 Veritas, which looked to be suffering "secular" drift.

σ = mJλJ + mSλS + mλ + pJϖJ + pSϖS + pϖ

Jupiter and Saturn are not in resonance themselves (anymore); so, the secular angle evolves. For Asteroid 490, thus:

σ = 5JλJ - 2SλS - 2λ - ϖ

Asteroid 490 is 5:2:2. Asteroid 10 is 8:4:3.

MARS 8/30: Saturn isn't alone. 7 Iris and 15 Eunomia look bad. So does Pallas. I'll get to them tonight.

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