Episode Transcript
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0:49
Astronomycast, episode 745. How
0:52
do we know when asteroids will attack? Welcome
0:55
to Astronomycast, our weekly fact -based journey through the
0:57
cosmos, where we help you understand not only what
0:59
we know, but how we know what we know.
1:01
I'm Fraser Cain. I'm the publisher of the university.
1:03
With me, as always, is Dr. Pamela Gay, a
1:05
senior scientist for the Planetary Science Institute, and the
1:07
director of CosmoQuest. Hey, Pamela, are you doing? I
1:11
am doing well. I
1:13
am currently dealing with some allergy
1:15
situation. So if you hear me
1:17
coughing, I'm not sick. I just
1:19
have stupid allergies. But
1:22
yeah, I have never
1:24
been more grateful to
1:27
All of you on Patreon as
1:29
as we watch everything going on,
1:31
I've had all of my colleagues
1:33
like struggle with funding and stuff.
1:35
So Patreon people, you allow me
1:37
to wake up a little bit
1:40
less scared of my inbox. So thank
1:42
you. Yeah, I have the same. Like
1:44
I have a different view as
1:46
a Canadian facing down tariffs from
1:49
the United States and all the
1:51
disruption that's going to be happening.
1:53
I have the same. ability
1:56
to breathe easy thanks to
1:58
everybody who has already become
2:00
patrons. It's kind
2:02
of amazing at this point how stable
2:04
I'm able to make Universe Today and
2:06
like a lot of writers are coming
2:08
out of the woodwork and saying, hey
2:11
Fraser, do you have any more work?
2:13
Stuff's drying up and I think
2:15
that is now going to accelerate
2:18
and I want to save them
2:20
all but I can't. Yeah,
2:24
so for those of you who have
2:26
already become patrons of either astronomy cast
2:28
or universe today or cosmo quest or
2:30
all three Thank you so much for
2:32
those of you who are on the
2:34
fence and kind of going like oh
2:36
is this is this it is this
2:38
the time is this when I when
2:40
I directly support the creative work of
2:43
the of the podcast and the media
2:45
that I really enjoy yes Yes,
2:47
this is the time, this is the moment. You've,
2:50
you know, we've all admired your
2:52
stoicism from afar, but now you
2:54
need to jump in and you
2:56
need to help the, and not
2:58
just us. I mean, we are,
3:00
we've already been supported in the
3:02
large part by patrons and sponsors.
3:05
You know, we've been very good.
3:07
But there's a lot of channels out
3:09
there. I think about all the stuff
3:11
that's run by PBS, the stuff that's
3:14
a lot of educational content that has
3:16
some level of financing through various
3:19
government grants and things like that.
3:22
They're going to get mass occurred
3:24
shortly. So think
3:27
very carefully about how
3:29
you Consume content
3:31
which channels you are most
3:33
grateful for and then figure
3:35
out how you can support
3:37
those creators directly with You
3:39
know if you if you
3:41
watch a thing and you
3:44
love it Support it directly because
3:46
if if people don't do that
3:48
then that thing will just disappear
3:50
and it will be replaced with
3:53
AI slop it'll be replaced by
3:55
a Substandard version
3:57
of it and and this
3:59
is spiral that we are
4:02
now approaching and so I
4:04
think You know for both of
4:06
us I think we're gonna be able to
4:08
weather this a lot of places that there
4:10
aren't gonna be able to weather this and
4:12
so just now is the time Contribute directly
4:15
to the content that you
4:17
find wonderful All
4:20
right, I'm sure you've heard the news.
4:22
Asteroid 2024 YR -4 has a tiny
4:24
chance of hitting Earth in 2032. How
4:26
do astronomers discover these dangerous asteroids,
4:29
measure their future impact risk, and
4:31
track the changes over time? When
4:33
should we panic? And
4:36
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5:59
Pamela. So before we start
6:01
talk about just like how this
6:04
all works in general, you know,
6:06
we are in the late
6:08
February 2025. And
6:11
we can give you
6:13
sort of a status
6:16
today of wire four
6:18
and then we will begin
6:20
to dismantle the whole proposition
6:22
and move forward. So where
6:24
do we stand today with
6:26
wire four? So
6:28
as of 1 16 p .m.
6:30
on February 20th that is in
6:33
central time and these numbers are
6:35
changing as data gets reduced and
6:38
understood. Hourly. Yeah, exactly.
6:41
We are sitting at a
6:43
1 .5 % chance of
6:45
the Earth getting impacted and
6:47
a 0 .8 % chance
6:50
of the Moon getting impacted
6:52
in 2032. Right.
6:55
December 2032.
6:59
And what we know about the
7:01
asteroid is probably about 50 meters
7:03
across, could be as big as
7:05
80 to 100 meters across. Uh,
7:08
the, like if you, the
7:11
most accurate number
7:13
crunching right now tells us
7:15
that it's going to come
7:17
within about 160 ,000 kilometers
7:19
of earth, which is close.
7:22
Like that is, that's half
7:24
the geosynchronous. Yeah. Yeah. Geosynchronous
7:26
is say 35 ,000. Kilometers.
7:29
The moon is, you know, on
7:31
average 400 ,000 kilometers or three
7:33
and 84. So it is path.
7:35
less than half the distance from
7:38
the earth to the moon. Now
7:40
you mentioned, it's funny, so you
7:42
mentioned 1 .6 % chance
7:44
of it hitting earth. And
7:48
like yesterday that we're
7:50
recording this, it was 3 .1. Yeah,
7:52
it had already gone to 3 .1.
7:54
And then today we got this lowering
7:56
of the odds down to 1 .6.
7:59
1 .5, it's actually 1 .5 now. 1
8:01
.5 now, okay. Like since
8:03
we started recording this episode, Yeah. So
8:06
I'm looking at the NASA's century. Yeah.
8:08
Yeah. Yeah. All right.
8:11
So, so let's first, so
8:13
that's, so that's the situation.
8:15
And then let's chat a
8:17
bit about worst case scenario.
8:19
Okay. Let's say that
8:22
a 50 to 100
8:24
meter asteroid did strike the
8:26
earth. How
8:28
bad would that be? So
8:30
to, to put the size of
8:33
this into a perspective that, that
8:35
is easier to understand than meters.
8:37
This is the size of a
8:39
747 give or take, but
8:42
because of the amount of
8:44
energy it impacts upon intended
8:46
as it blasts
8:49
towards us with a really high kinetic energy.
8:52
If this thing was a solid
8:54
iron core, we're looking at something
8:56
like the Behringer crater, the crater
8:59
that's in Arizona. More
9:01
likely this is something that's going to
9:03
go boom in the atmosphere, and we're
9:05
going to end up with a Tunguska
9:07
-like event that just flattens a region.
9:10
Now, this is what's called
9:12
a city destroyer for small
9:14
enough values of city. bad,
9:20
but it's the kind of thing
9:22
that, since it will have a
9:25
really good approach in 2028 that
9:27
will allow us to get an
9:29
extremely accurate orbit, we
9:31
will either be able to say,
9:33
we are going to move that
9:35
and move it. Right. Well, we're
9:37
going to talk about that later on in the episode because
9:40
that doesn't, that's not going to be as simple as we
9:42
hope. True. But
9:45
it's also the kind of thing where
9:47
we could evacuate the necessary parts of
9:49
the planet that would either be a
9:51
land area or a whole lot of
9:53
shoreline if it's slated to hit the
9:55
oceans. Also part of the conversation that I
9:57
want to have later. All
10:00
right. Mitigation. Yes. Yes.
10:02
But the point being that you say
10:05
city killer. So if it does hit
10:07
a city, it
10:09
is like a 20 megaton Nuclear
10:12
weapon going off in the middle of
10:14
a city and and it's either going
10:17
to be an air blast that
10:19
causes things to go flat Yeah,
10:21
which is not great not good. No, no
10:23
or just a direct We're going to smash
10:25
and directly impart the kinetic energy into the
10:27
surface of the planet Which is actually a
10:30
bit worse, right? And if it
10:32
hits the ocean also not great
10:34
because then it can cause localized
10:36
which can inundate the the shore
10:39
so so You
10:41
know, Chelyabinsk was, I
10:44
think, a 17
10:46
-meter asteroid. Anything
10:49
below 20 meters is going to
10:51
do no worse than blasting out
10:53
a whole lot of windows with
10:56
localized damage, the level
10:58
of like, we shall dent up your
11:00
car or put a hole in your
11:02
roof. But it's
11:04
the kind of stuff that apparently
11:06
also starship will cause if you are
11:09
beneath the starship that explodes. So
11:12
pick your danger. Yeah.
11:14
No, no. Yeah. So
11:16
it's the kind of thing
11:19
that is a apparently acceptable
11:21
level of danger. And
11:23
if you get far enough below 20
11:25
meters, it just burns up in the
11:28
atmosphere. We are lucky enough to have
11:30
this super thick atmosphere that frictionally heats
11:32
and destroys a lot of falling rocks.
11:35
Yep. Now, I want to
11:38
talk about how astronomers find these
11:40
things and figure out those probabilities,
11:42
but it's time for another break.
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care. And
12:19
we're back. So how do
12:21
astronomers find asteroids like this? We
12:24
are very good at recognizing
12:26
asteroids could strike. The dinosaurs
12:28
had a really bad day.
12:31
We do not wish to
12:33
have the same experience the
12:35
dinosaurs had. So we keep
12:38
developing new surveys, new telescopes.
12:40
Currently the leading asteroid finding
12:42
systems are the asteroid terrestrial
12:45
impact last alert system. This
12:47
is Atlas. It
12:49
is a robotic astronomical
12:52
survey. that is out
12:54
there basically looking night
12:56
after night with half
12:58
meter telescopes to see
13:00
what specks of light
13:02
are on the move.
13:05
And it was Atlas that discovered
13:07
YR4 on December 27th, a couple
13:09
of days after its closest approach
13:11
to the Earth. And
13:14
based on how the
13:16
specks of light are moving, we
13:19
start to calculate orbits and
13:21
then do a couple of
13:23
different things, both getting other
13:26
telescopes around the world pointed
13:28
at these objects to confirm
13:30
the orbits. And
13:32
folks also start going through
13:34
archival imagery looking to see
13:36
if they can confirm or
13:38
deny past locations of these
13:40
space rocks. We've
13:45
been chatting about this, I guess, in
13:47
the science communication community. The
13:49
news media has been reporting this. I
13:51
feel like we've been on this for
13:53
about two weeks at this point. And
13:56
when it was first found, it was a 1%. And
13:59
then it was 1. whatever. And then
14:01
it was 2 .3. And then it's
14:03
3 .1. 3 .1. Yeah. So why
14:05
is the percentage going up? So
14:09
this cool adventure we've been on where
14:11
it was getting more and more and
14:13
more ever so slightly likely to hit
14:16
us I have to admit to being
14:18
team asteroid Um, it was I live
14:20
on this planet too Pamela. I
14:22
can't solve an asteroid using asteroid
14:24
solve all your problems I wanted
14:26
to move it. I wanted to have
14:29
an excuse to move it. All right, we'll get
14:31
to that. We'll get to that. All All right,
14:33
so I team asteroid So
14:36
what had happened was they
14:39
calculated what are all the
14:41
possible orbits that could fit
14:43
the observations we have right
14:45
now, which are kind of
14:47
noisy, kind of not ideal,
14:50
because the timeline is too
14:52
short. And
14:54
then they started going back through
14:56
archival data and saying, OK, this
14:58
is an excellent orbit. Was the
15:00
asteroid here? Shoot, it wasn't. When
15:03
you don't find the asteroid along
15:05
the good orbits, that eliminates the
15:08
good orbit possibilities and increases the
15:10
bad orbit possibilities. Interesting.
15:12
OK, so they
15:14
find the asteroid, and they
15:16
find its trajectory, and then they
15:19
go back through archival data to
15:21
see if that Essentially
15:23
you can run that clock forward or backward
15:25
and then see if it was in one
15:27
of those things and it and if it
15:29
isn't there in the in the safe ones
15:31
then you're left with the unsafe ones exactly
15:33
and So they had found
15:35
it in Subaru archives. I
15:38
they were looking in other archives
15:40
as well and it wasn't in
15:42
any of the good places the
15:45
asteroid did not go to the
15:47
good place and because We
15:49
don't have complete coverage of the sky
15:52
every night across all the decades, especially
15:54
not with the big telescopes capable of
15:56
seeing the small rocks. All
16:00
we could say was these good orbits
16:02
are eliminated. We can't check the other
16:04
orbits and we can't check the bad
16:06
orbits. So here
16:09
we are with the
16:11
increasing probability of impact.
16:15
I had no idea that that was the
16:18
mechanism. That's really interesting. Okay. And
16:20
so why then is
16:23
the, is the chance going
16:25
down? Are they also not finding it in
16:27
the bad orbits? Um, so
16:30
it, it, the moon got
16:32
in the way. There was this window of
16:34
time where, because we had a bright moon
16:36
in the wrong part of the sky, it
16:39
was just not possible to. get
16:41
the kinds of data that would
16:43
tell us, no, we're safe. So
16:46
now that the moon is back
16:48
down to a quarter phase, rising
16:50
at midnight, they're able to get
16:52
more data. And that
16:55
more data is giving
16:57
us a better and better
16:59
outlook for the future. Now,
17:02
time has been granted to Andy Rivkin
17:04
and his team to go ahead and
17:06
use the James Webb Space Telescope to
17:09
look at this asteroid next month, which
17:11
will be March as of when we're
17:13
recording this in February. And
17:16
that will hopefully tell us how
17:18
big the asteroid is, further refine
17:21
the orbit. And
17:23
right now, like I said, we're
17:25
at only 1 .5 % so
17:27
it's still a terino scale
17:30
three keep your eyes
17:32
on it folks be alert
17:34
but it will probably go
17:36
down right that the terino
17:39
scale this is that essentially
17:41
asteroids of concern if they're bigger than about 20
17:43
meters then they get to and they have a
17:45
chance of hitting Earth at some point in the
17:47
future, then they get to go on the Torino
17:49
scale. And then the question is, what are the
17:51
chances? What is the scale of the impact? And
17:54
then you get a placement. And I think the
17:56
highest ever was Apophis at like four. And then
17:58
it lost its ranking and went back down to
18:00
zero. And now wire four
18:02
is taking a nice solid three on
18:04
the Torino scale. But we will expect
18:06
almost certainly that it is going to
18:08
drop back off the scale. We're going
18:10
to have to look for something else
18:13
to be the dangerous
18:15
asteroid of the future. All right,
18:17
so next, I've been promising, I want to
18:20
talk about mitigation, and we will talk
18:22
about that in a second, but it is time for
18:24
another break. Time
18:27
is precious and so are our pets.
18:29
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18:31
precious. That's why we started Dutch. Dutch
18:34
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18:36
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18:38
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18:40
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18:43
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18:45
can even prescribe medication for many ailments
18:47
and shipping is always free. With Dutch
18:49
you'll get more time with your pets
18:51
and year-round piece of mind when it
18:53
comes to their vet care. asteroid.
19:07
Let's say that in fact the
19:09
numbers go higher and higher and
19:11
higher and it gets to a
19:14
point where space agencies are concerned
19:16
that there's a pretty good risk
19:18
that this is going to hit
19:21
us or come dangerously close. What
19:24
could we do to stop this? Well,
19:27
we know thanks to the Dart
19:29
mission that we do have the
19:31
ability to slam heavy objects into
19:34
space rocks and cause their orbits
19:36
to change. And
19:38
from beginning of construction to launch
19:40
was only about three years for
19:42
the Dart mission. So we
19:44
have time, even if we
19:46
wait until 2028 to figure
19:48
out just how bad it's
19:51
going to be to We
19:55
have time to launch something to
19:57
slam into it and move it.
19:59
Now, I'm hoping that we don't
20:01
wait until 2028 to figure out if
20:03
we're going to start launching missions. And
20:06
what's cool is there's lots of
20:09
different possibilities. We were already starting
20:11
to think through, how are we
20:13
going to observe Apophis? in
20:15
all of its glorious detail when
20:18
it comes past us on April
20:20
12th, 2029. Apophis is a
20:22
larger asteroid that's how it made it to
20:24
level four on the Trina scale. It's
20:27
going to be so close
20:29
to the Earth on April
20:32
12th, 2029 that we're going
20:34
to have weather satellite images
20:36
looking down at our planet
20:38
from geosynchronous orbit that show
20:40
an asteroid passing between those
20:42
weather satellites and our planet.
20:44
It's going to be a
20:46
daytime visible object. It's
20:48
kind of awesome. You'll
20:50
be able to walk outside and watch it go
20:53
by. Uh -huh. Yeah. Uh
20:55
-huh. Now, for us, no, we're
20:57
on the wrong continent. Right.
20:59
Um, I'm probably going to have to
21:02
travel for this. Like I feel obligated
21:04
by the universe to go see this
21:06
with my own eyeballs. Wow.
21:08
But like binoculars in the right
21:11
part of earth, watching it go
21:13
by, it's going to be a
21:16
few tens of thousands of kilometers.
21:18
Yeah. A space rock going past
21:20
the earth. Um, but, but,
21:22
and it's big way bigger than
21:25
than wire four. Like wire four
21:27
is small and so of less
21:29
concern. But let's
21:32
so let's say that
21:34
we wanted to quickly
21:36
accelerate a the construction of
21:38
a spacecraft when we launch it. When
21:40
is the best time to do that? Do
21:42
we do this now before it does that
21:45
flyby in 2028 and gets its orbit tweaked?
21:47
Or do we wait until 2028 when we
21:49
know we have a better idea of what
21:51
its orbit is going to be? And it's
21:53
also it's close so we can reach
21:55
out and smash into it. So
21:58
you want to
22:00
try and deflect something as
22:02
early as possible to give
22:04
the effects of what you
22:06
do the greatest opportunity to
22:08
propagate through time. If you
22:10
think about it, if
22:13
you deviate a bullet
22:15
just a tenth of a
22:18
degree and you're a couple of
22:20
feet away from someone, please do
22:22
not do this. A couple of
22:24
feet away from a target, you're
22:26
still going to hit the target.
22:28
But the further away you are,
22:30
the more that deviation causes you
22:32
to be more and more off
22:34
center. So our
22:36
planet is a whole lot bigger,
22:40
but the
22:43
chances of impacting require
22:45
at a great distance for
22:48
the accuracy of the trajectory
22:50
to be just so. So
22:52
the further away in time
22:54
you are, the more
22:57
the change you make has a
22:59
chance to keep an impact from
23:01
happening. I
23:03
would personally say Wait
23:06
until we get the JWST data.
23:09
This is what Andy Rivkin was
23:11
saying is definitely currently NASA's discussion.
23:16
Wait until we get the
23:18
JWST data. Based on that figure out
23:20
what kind of a mission makes sense.
23:23
I think we definitely need to
23:25
plan something to chase this sucker
23:27
down and observe it. Unfortunately,
23:30
2028, it's on an elliptical
23:32
orbit. Our next closest approach,
23:35
it's going to be tens
23:37
of millions of kilometers
23:39
away, which is not
23:41
friendly. But
23:43
we should definitely
23:46
plan to launch something and
23:48
be prepared for anything. Let's
23:51
do science, people. Let's do science. Right.
23:54
I mean, it's an incredible opportunity to
23:56
watch how the gravity of the Earth
23:59
deflects the orbit of an asteroid when
24:01
it's doing this flyby. It's the same priority
24:03
that you're getting with asteroid Apophis with
24:05
the updated version of OSIRIS -REx that it's
24:07
going to be following Apophis. It's going to
24:10
watch as this asteroid gets deflected by the
24:12
gravity of the Earth. That's going to
24:14
tell it about the composition of Apophis.
24:17
if we could do the same thing with YR4,
24:19
then we'll have two data points. Watching as these
24:21
asteroids are deflected by the Earth teaches a ton
24:23
about this. What are the
24:25
risks? I mean, if we attempt
24:27
a deflection of YR4, how
24:30
could it go wrong? Well,
24:33
there's always the possibility that
24:35
the spacecraft goes stupid and
24:37
instead of making it less
24:40
likely to hit us, it
24:42
instead makes it more likely
24:45
to hit us. This
24:47
is why you don't try and deflect
24:49
something that isn't already going to hit
24:51
you right because if it's already going
24:54
to hit you Pretty much. However, you
24:56
deflect it. It's going to miss you
24:58
if it's just going to come uncomfortably
25:01
close There's the chance that you take
25:03
it from uncomfortably close to a direct
25:05
hit So do not try and move
25:08
something that's not already going to hit
25:10
you any other possibilities that we fragment
25:12
it that we smash into it,
25:14
turn it into a hail of
25:16
particles, and now each one of
25:18
those enjoys its own risk chance
25:20
of hitting Earth or not, and
25:22
so you're actually sort of turning
25:24
it into a shotgun blast for
25:26
that next orbit. Now the
25:29
thing is, this is a smaller object.
25:31
Like I said, it's give or take
25:33
the size of a 747. Anything
25:36
under 20 meters is not that big
25:38
of a deal. So
25:40
if we take something that
25:42
is 80 meters
25:44
across and we fragment it,
25:47
as long as those pieces
25:49
are under 20 meters, we're just
25:52
generating a lot of heat, which
25:54
is annoying and problematic. But
25:57
we already have a lot of heat hitting the
25:59
atmosphere from other space rocks. I'd
26:02
rather fragment something
26:04
this small than
26:06
not. I guess.
26:09
Right. Right. Um, and,
26:12
and I know that, uh, there's a great
26:14
article from Ethan Siegel that came out just
26:16
a couple of days ago where he did
26:19
some of the math and it wasn't as
26:21
satisfying as I was hoping that even if
26:23
we build something like dart or maybe even
26:25
like a super dart, something that's like a
26:27
thousand kilograms, we slam it into this asteroid
26:30
as soon as possible. We,
26:32
we just get a reduction
26:34
of the risk by. by
26:38
something that becomes a lot more satisfying.
26:41
We knocked away the 1 % chance down
26:43
to zero. We knocked a 3 % chance
26:45
down to one. We
26:48
know that we're going to make this
26:50
dramatic change and it turns what is
26:52
a risky space or came to something
26:54
that is absolutely safe. And it's assuming
26:56
a perfectly elastic collision. All
26:59
of those... still
27:02
don't get you, you are 100 %
27:04
safe now. They get you, you are
27:07
safer. One of the
27:09
cool things about these is it's
27:11
not just a matter of is
27:13
it a elastic or inelastic collision.
27:15
Is it a collision where the
27:17
thing you strike it with sticks
27:20
or bounces off completely and transfers
27:22
all of its momentum? As
27:25
we discovered with the dart mission, if
27:28
you hit something that's going
27:30
to fall apart, the fact
27:32
that you have a bunch
27:34
of material flying away causes
27:37
the main chunk to accelerate
27:39
away even faster. So you
27:41
have this neat additional way
27:43
of causing things to be
27:45
on a less
27:47
deadly trajectory. Now, again, you don't
27:50
want to move something unless it's
27:52
directly going to hit you because
27:54
the probability that you're going to
27:57
make things worse is non -zero.
28:00
it's already going to hit you, you're
28:02
probably going to make things better. So
28:04
pick your battles. Right. So
28:07
right now, should
28:09
you panic? Absolutely not.
28:12
When should you know to panic?
28:14
2028. 2028 all right,
28:17
so you have to wait and we
28:19
obviously we're gonna update you as we
28:21
get closer either when it goes completely
28:23
down to zero and and even they
28:25
know the 2028 flyby is gonna be
28:27
fine But after 2028 so we'll tell
28:29
you when to panic But until then
28:31
please don't panic. Don't worry
28:34
This is a tremendous science
28:36
opportunity and this is a
28:39
great example of yeah of
28:41
And don't let Pamela's apocalyptic
28:46
fantasies, you know, kill
28:49
your boss. I want to move it.
28:51
I want to see the world come
28:53
together. Yes. Wouldn't that
28:55
be amazing on the little
28:58
spacecraft that moved the space
29:00
rock. I want global science.
29:03
Yeah. And there are multiple
29:05
teams. So there is a
29:08
team from the European Space Agency
29:10
that's already come together. develop a
29:12
working group to think about this
29:14
and a separate team from China
29:16
that is doing the same thing
29:18
and they're already having collaborations between
29:20
the two groups and so we
29:22
could we could absolutely see no
29:24
matter what some kind of spacecraft
29:26
maybe a international collaboration going to
29:28
check it out at the as
29:30
a scientific interest or to actually
29:33
move it and so so stay
29:35
tuned we will keep you posted
29:37
as as progress continues All
29:41
right Pamela. Thank you so
29:43
much and What have you got for
29:45
us now? I I
29:47
just want to take this moment
29:49
to say thank you to all
29:51
of our patrons out there. And
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this week, we would like to
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you too would like an opportunity
31:00
for me to mispronounce your name,
31:03
I am so sorry, everyone. you
31:05
really want that. Thanks everyone
31:07
and we'll see you next week. Bye bye.
31:16
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