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If Mars has an impact on Earth's Milankovitch cycles, what instability does the nearly binary Earth/Luna system have on Mars, Venus, and beyond?

Mars influence on the Milankovitch cycles:

Anton Petrov's summary:

I imagine there is a significant potential interaction over long time scales due to lunar position and orbital plane. If Mars has a measurable impact on Earth, the reverse must be true as well, and Luna is the primary anomaly IMO.

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