Local orbit change vs heliocentric deflection

26:22right? when we think about like you know shooting something off Earth or we think about just tides for example actually tides is a bad idea because we need both the sun and the moon but >> if there's stuff that's local to the earth and the moon we don't really need to worry about the sun too much okay >> okay we can have momentum transfer in between the earth and the moon and we'll be fine >> would satellite stuff be an example of that >> yeah satellite stuff would kind of be an example of that because like the sun is kind of far away it's like really big, but it's still like it it doesn't it doesn't like come into the equation or it comes into the equation in in another way. The idea is that like there's

27:03there's granular levels of how we want to describe a physics problem, right? Um, and my point here is when the local measurement was made, when we figured out, oh, the orbit decreased by 30 minutes between the two of them, >> what we what we really did was figure out a local beta. We figured out a local m momentum transfer that happened because of the moon and how much how much escaped the little moon's gravity, right? To create a nudge >> between the moon in relation to the big

27:44Ditimus. Yes. So Dorphus is now speeding up >> in relation >> in relation to Ditimus. >> Right. What we really care about when it comes to planetary defense is the sun binary system. >> What we care about is the heliocentric momentum enhancement factor, not the center of mass frame momentum enhancement factor. Here what we're looking at is >> from Earth. >> Mhm. >> The impact on Denimus. >> Okay. >> Okay. And what you can see is you don't even resolve the binary system. >> It looks like a single dot. >> Yes. But we didn't hit the main dot. >> We hit the moon. And yet there's all

28:24this ejecta that came out. All of that ejecta that came out has escaped the binary system. >> That ejector not only escaped the moon, >> the main ditimis big asteroid couldn't even keep it together. >> Right. So all of that eector escaped the moon. >> Yes. >> And the big asteroid. >> Yes. >> And has gone out into outer space. Yes. which means that there isn't a momentum enhancement factor on the entire system as a whole. It's a really nice like sort of >> little undergrad problem on conservation of energy, right? Which is this idea that like even though I only hit the moon, I'm actually changing the trajectory of the entire moon >> planet or moon asteroid system.

29:07>> I didn't touch the asteroid, but the asteroid's orbit has been changed because I hit its moon. So, so as a maybe a pop culture reference point, let me know if this actually tracks with what you're saying. There's a famous, not a famous, there's a a movie that came out maybe in the last two, three years called Moonfall. >> Okay. >> And the moon >> fell Oh, dude. towards Earth. I know this one. And and so what the point even though the moon had yet to make contact >> with Earth, the simple fact that it moved from its existing orbital position around the Earth to being getting to getting closer totally disrupted a variety of things in Earth because the tides changed and the proximity and it

29:49it's so it's like it's like a local move. It's like local but it it has this larger impact even though it's maybe not the right analogy. >> It's okay. So I want to I want to take that a step further because in that one what you're talking about is local changes again. >> Oh what I'm saying what I'm saying here is like suppose something hit the moon which caused it to fall. Yes. >> Right. >> There would be an energy transfer into the moon. Yes. Right. So looking from Earth's perspective the moon would gain some energy let's say. >> Mhm. >> Now looking from an alien perspective that looks at the earth and moon system as a single system. There would be a change in energy in that entire system. both the earth and the moon would gain some energy. So both that that system as

30:30a whole would change its trajectory around the sun. >> I I >> that's the idea. Is that what is depending on how granular you make your system at the end of the day conservation of energy and conservation of of momentum >> are paramount. Yes. >> So >> if the momentum was transferred to the moon, it'll also be transferred to the earth moon system. Yes. >> Which means that the earth moon system moving around the sun is going to change. That's what's happening here. That's the key that I need that that I need everyone to try to like sort of internalize which is conservation of energy and momentum is true regardless of the size of your system. The the Yeah. Right. At whatever level or layer you're observing the system, >> a change of momentum in one of those

31:12layers >> will will then will uh transcend across all of the either downstream or upstream. I don't know which direction. >> I don't know which direction it is either, but one of those two. Yeah. You you get you get you get exactly what I'm saying, right? And so >> if that ejector is escaping the combined gravity >> of Dimus and Dorphis, >> then it's going to change the trajectory of the entire system.