egg changed the topic of #principia to: Logs: https://esper.irclog.whitequark.org/principia | <scott_manley> anyone that doubts the wisdom of retrograde bop needs to get the hell out | https://xkcd.com/323/ | <egg> calculating the influence of lamont on Pluto is a bit silly…
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<queqiao->
⟨nvv⟩ okay, so for rendezvous with another spacecraft LEO, I assume that I just need to get the orbit in the ECI ref frame to be right over the launch site?
<queqiao->
⟨nvv⟩ * i nLEO,
<queqiao->
⟨nvv⟩ * in LEO,
<queqiao->
⟨Stonesmile⟩ MJ launch into plane of target is what most people use
<queqiao->
⟨nvv⟩ I do that, but since I can't align the launch site with the plane perfectly, it gives me a countdown, and by that time, the spacecraft is too far ahead
<queqiao->
⟨Stonesmile⟩ Phasing orbits, being lower than the target means you catch up, being higher means the target catches up to you
<queqiao->
⟨nvv⟩ I tried something similar where I launched into a 390x390 orbit to catch up to a spacecraft in a 400x400 orbit, didn't work too well, but I'll try with a 395x395 orbit
<queqiao->
⟨lpg⟩ to catch up (or let it catch up), you want _more_ difference between your orbit and the target, not lss
<queqiao->
⟨Kirk (He/Him)⟩ That will make you catch up even slower
<queqiao->
⟨Kirk (He/Him)⟩ I'd go to a 300x300 orbit
<queqiao->
⟨nvv⟩ ⟪Kirk (He/Him)⟫ I'd go to a 300x300 orbit ⮪ How much delta v would it take to get a close encounter after you caught up?
<queqiao->
⟨Nazfib⟩ The worst-case scenario is when the target is just behind you when you reach orbit - you need to catch up a full orbit to it. At 390 km, this takes 462 orbits (29.5 days) . At 300 km, it takes only 45 orbits (2.8 days).
<queqiao->
⟨Nazfib⟩ ⟪nvv⟫ How much delta v would it take to get a […] ⮪ Approximately 57 m/s in total, over two burns
<queqiao->
⟨nvv⟩ Oh.. I thought it'd take more, I'll try that
<queqiao->
⟨Butcher⟩ ⟪Nazfib⟫ The worst-case scenario is when the […] ⮪ Or you could just insert into a higher orbit and let it catch you.
<queqiao->
⟨Nazfib⟩ Of course, that's also an option. In that case, divide the worst-case numbers by two.
<queqiao->
⟨Butcher⟩ I like an elliptical orbit with the apogee the same as the target.
<queqiao->
⟨leudaimon⟩ that's how rendezvous with the ISS works as well... it's pretty much the most flexible/efficient
<queqiao->
⟨Butcher⟩ Easier to launch into too since you're not trying to get into a high perigee orbit right away.
<queqiao->
⟨Al₂Me₆⟩ ⟪egg⟫ (that figure is from the very WIP […] ⮪ Curious how you're making these plots
<queqiao->
⟨egg⟩ Mathematica that you really don’t want to see
<queqiao->
⟨egg⟩ ⟪Butcher⟫ I like an elliptical orbit with the […] ⮪ (that’s the top row in the figure, the bottom row being a higher apogee and the same perigee, assuming a circular target)
<queqiao->
⟨Butcher⟩ ⟪egg⟫ Mathematica that you really don’t want […] ⮪ Noodle code to draw noodles.