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Лидов–古在 mechanism test #1119

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eggrobin opened this issue Sep 1, 2016 · 5 comments · Fixed by #3113
Closed

Лидов–古在 mechanism test #1119

eggrobin opened this issue Sep 1, 2016 · 5 comments · Fixed by #3113

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@eggrobin
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eggrobin commented Sep 1, 2016

@pdn4kd suggested a test that demonstrates the Лидов–古在 mechanism.
It appears that we have everything we need for that (it's the perturbation of orbital elements in the circular-restricted three body problem), and Лидов古在 sounds like a great identifier.

@eggrobin
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eggrobin commented Jul 9, 2021

Update: @RCrockford has encountered something that furiously looks like Лидов–古在 mechanism on a Mercury orbiter. Note that 𝑎 is constant, so we are recognizably in Mercury orbit, and both 𝑒 and 𝑖 vary quite a bit, the former going up and the latter down. The reporting of the analyser is suboptimal when it comes to showing this sort of variation, we should have a way to inform the user whether the value oscillates or changes roughly monotonically over the relevant time period.


@RCrockford
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persistent.zip
The (rather prosaically named) craft Mercury Orbiter 1 is the craft in question for this effect.

@RCrockford
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https://1drv.ms/u/s!ApWZXOEZJxA5gqBx8-ryGvCUAcuMPw?e=VCMVwi
A quicksave with more history.

@pleroy
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pleroy commented Jul 11, 2021

Note for us: downloaded the save to P:\...\Principia\Save\1119.

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@eggrobin
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This does indeed look like the Лидов–古在 mechanism, with an exchange between eccentricity and inclination, conserving the quantity (1−𝑒2) cos2𝑖.
butcher_e_i

butcher_constant

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3 participants