For an elliptical orbit
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1,176 YaMomzBox420
@Sushiboi honestly I'm not sure. I'm trying to not overcomplicate things, but I don't know if I can with that. The method of determining the angle difference between planes works regardless of the orientation of the vectors used. As far as the RAAN and inclination go, I think you'd have to measure the difference of each individually then use some sort of function to determine when and where to burn to match orbits. Assuming you're trying to rendezvous or parking into a specific orbital location, then it would take multiple small maneuvers to adjust inclination, RAAN, and SMA individually as opposed to all at once. You'd want to line up the line of nodes for both orbits first(1-2 maneuvers), then adjust inclination(1-3 maneuvers), and finally adjust SMA(1-3 maneuvers). The book I linked should have a pretty good overview of the particular maneuvers involved, especially plane changes
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294 Sushiboi
@YaMomzBox420 ok, but what if the right ascension of the ascending node of both orbits are different as well as the inclination of the orbit, how would I be able manipulate those 2 differences and return 1 angle? I haven't tried calculating it but would it be the average between the 2 differences?
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1,176 YaMomzBox420
Okay, so assuming you can find the Semi-Major Axis of both current and target orbits, you can find the angle between the normal vectors. In other words use ((norm(SMA)) angle (norm(SMA))) to find the angle between the two planes regardless of orbit orientation
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1,176 YaMomzBox420
@Sushiboi I don't currently have a simple answer to that. The book I shared has the equations and stuff in chapter 6.9 page 290, but it's pretty well involved
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294 Sushiboi
@YaMomzBox420 i have another question, i can't seem to find it in the webpages and books shared but is there a way to find a difference in orbital planes in degrees or radians? I need to know this in order to do a plane change as the formula requires the angle
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1,176 YaMomzBox420
@SmurfResearchX @MaxQAerospaceSingapore you're welcome! Ive come to the conclusion that the free sharing of ideas and info is the best way for us to advance as a species. Plus, it's my turn to give back to the community that's given so much to me!
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7,823 SmurfResearchX
@YaMomzBox420 - Great! i saw the screenshot forum post - Thank you for sharing it, more resources are always a help
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1,176 YaMomzBox420
@SmurfResearchX I used that one too, but the one I linked is a bit more intuitive in the way it works out each element. Still, it's a great one to use as well. I also found a complete book on physics for aerospace engineers in PDF format, but I can't copy the link to share it. Maybe I can take a screenshot of the Google search that leads to it so others can find it. It's probably the best one stop shop for anything orbital mechanics including maneuver calculations
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7,823 SmurfResearchX
@YaMomzBox420 - That is a good reference - This is another one with formulas
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1,176 YaMomzBox420
@MaxQAerospaceSingapore it's not that hard to find what you're looking for, just gotta know how to use Google to sort the results for you. This is already pinned on SRC discord, but here's my resource for that: https://oer.pressbooks.pub/lynnanegeorge/chapter/chapter-3-the-classical-orbital-elements-coes/
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294 Sushiboi
@YaMomzBox420 yes but I can’t find the equations to find what I want so I was wondering if anyone knew
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1,176 YaMomzBox420
Lots of math. Some of that is easily accessible in vizzy now, but the rest comes from equations
@YaMomzBox420 Alright, i'll go take a look at it again