Costs of Elliptical Insertions | KSP Let's Do The Math

[@MikeAben]

Up Next: Delta-v Budgets - kzbin.info/www/bejne/nGnEdp2GiZt8q80

[@sol2588]

How do these videos not have more views?! This series is wonderful and you explain everything so well. I've been looking for KSP calculations for a while, and your videos are THE best source. Thank you.

[@MikeAben]

Thanks for the encouragement. It really helps.

[@pythondemonstrationen9869]

This series is so incredible! This is exactly what I‘ve been looking for and it even uses KSP! Thank you soo much for making this. These videos deserve millions of views.

[@kelly4187]

I've only just discovered your channel after a couple of years of bodging half of these relations myself. I like to go full maths and find generalised solutions for things like this, including time of flight problems for transfer at any generalised points of an ellipse in kelperian coordinates. Although by this stage you are basically simulating to do a mission in a simulator! :) I'm loving the content, you have a nice simple style that is easy to listen to and follow, whilst not skimping on the details. I'm looking forward to exploring your other videos!

[@rasisaiah]

So good! Thank you Mike. I really want to tell my astrophysics professor from undergrad that I finally have a use for all the equations we learned but I’m a little bit embarrassed to tell him about all the predicaments I’ve gotten Jeb into…

[@zaregg.]

This is amazing. Always searched for this sort of video

[@Cby0530]

It is stunning. Math is the closest thing humans have to predicting the future. At least in regularity situations.

[@GeekRedux]

2:00 Except they basically are the order of the burns. If you want to drop to a lower orbit, treating 1 and 2 as chronological will give -deltaV to drop the orbit, and -deltaV again to circularize it, which is a properly intuitive way to remind us we're taking away energy.

[@jnwahlgren]

This series of videos lets me relive my nerdy college days. It's great stuff. If you're taking suggestions for video topics, I'd love to see one on the Oberth effect and how to use it to reduce fuel spent. Thanks!

[@MikeAben]

I actually do have an Oberth video. kzbin.info/www/bejne/qJ_dnIOBoJlmn9k Let me know if you were thinking of something else.

[@jnwahlgren]

@@MikeAben You know, right after I wrote this comment I saw it in the playlist. I'm paying attention, I promise.

[@matejivi]

Thanks a lot! This is realy helpful!

[@rsbispo]

Hey Mike, thanks for the video! Amazing. I was wondering, though, is there a case where we would want to burn at the periapsis instead of the apoapsis when going from one elliptical orbit to another? Or for some reason this kind of maneuver will only happen at apoapsis?

[@MikeAben]

I can think of many situations. I was burning a periapsis for burns 2 and 3 in this example. The first burn would have been at periapsis too if the target was out past my apoapsis.

[@braddaily8688]

Quick question about PEMDAS, how do we find the square of a fraction? If I remember correctly, you square both the numerator and denominator and then divide? Is that correct?

[@MikeAben]

Yes, you square both the numerator and denominator. Remember, squaring something is just multiplying it by itself, and when you multiply fractions, you just multiply the numerator and denominators. For example, (3/4)^2 = (3/4) x (3/4) = 9/16 You can divide 9 by 16 if you want the decimal representation of this answer, but there's nothing wrong with 9/16.