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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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[–] [email protected] 3 points 6 months ago

Two more variables that are going to affect the number of encounters are when the "final" orbits of the inner planets were established (the Nice model suggests there was much disruption early on) and that Mars' orbit is very elliptic so it's rarely lining up at its closest approach, which is still pretty far. If anything we'd more likely see some correlation between Earth and Venus if there is any.