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Section 4.1

Mark Lubrick · 1,541 words · 8 min read

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0:00we're now gonna move on to chapter four

0:01which looks at the earth the moon and

0:03the sky and looks at some of the

0:05interactions between the earth and the

0:07moon and some really cool effects we get

0:08from that so we're gonna start by

0:11defining a couple terms and one being

0:14the idea of a great circle this is when

0:17you have a sphere and the sphere is just

0:19a fancy way of saying a globe earth is a

0:21sphere this in this case this image

0:23shows it cut in half but it's a severe

0:26and a great circle is one that happens

0:29to have it's a circle on a sphere and it

0:32happens to have the center of it go

0:34through the very center of the globe so

0:36something like the equator here on earth

0:39that would be a great circle and this is

0:42important because we want to find

0:43specific types of great circles so

0:46called meridians these are circles that

0:50I mean these are all imaginary circles

0:51of course one more there's not actually

0:53a big long circle going around the earth

0:55but we're imagining a circle that goes

0:58around the earth and actually passes

1:02through both poles in that case it'd be

1:05a great circle because the center would

1:07be the center of the earth but it also

1:09happens to go through the poles and we

1:11call these meridians and this is gonna

1:14be important in a second we're gonna see

1:16why because what we're gonna look at

1:20first is the idea of longitude and

1:21latitude and unfortunately these images

1:22are a bit stretched out I can see but

1:24the idea of latitude and longitude is

1:28helping us make a coordinate system on

1:30earth latitude you can see are a bunch

1:33of circles and basically latitude tells

1:36us how far north or south of the equator

1:39we are it's a number is a degrees either

1:43north or south of the Equator you can

1:45see degrees north or degrees south of

1:47the equator and it's just to help us

1:49figure out roughly where on earth we are

1:52so it gives us the up-and-down the north

1:54and south direction longitude on the

1:57other hand actually gives us the east

1:59and west direction east and west so you

2:02can see these lines are defining east

2:04and west and so between that if we have

2:07the north and south in the east and west

2:09we get a coordinate system we can

2:11describe anything on earth

2:13exact

2:13is by its describing its longitude and

2:16latitude now one thing you might have

2:20noticed right off the bat is where is

2:22the zero point for the longitude with

2:24latitude

2:25it was the equator the Equator is the

2:27greet upon zero point cuz it's very

2:29middle it makes sense but what about

2:33with longitude where do we find the zero

2:37point because actually a lot of

2:38countries wanted theirs country to have

2:41the prime meridian prime meridian is the

2:44zero point i obviously a lot of

2:46countries wanted that cuz hey why not

2:48were the center well it was eventually

2:50agreed to be in Greenwich England

2:53there's the Royal Observatory there they

2:55did a lot of work around this concept so

2:59it made sense to find that as our prime

3:01meridian the zero point so again this is

3:06giving us a coordinate system on earth

3:08and allowing us to actually figure out

3:09where anything is on earth by describing

3:12it with these two sets of coordinates it

3:14allows us to figure out exactly where

3:16things are of course may be wondering so

3:19what was that got to do with astronomy I

3:21mean most of the time we're not really

3:23looking at things on earth so great we

3:25can describe where something is on earth

3:26but I want to know where something in

3:28space is well back to the celestial

3:32sphere remember the celestial sphere

3:34this imaginary sphere around Earth where

3:37everyone thought the stars were embedded

3:39again still a useful idea we know it's

3:41horribly wrong stars are incredibly far

3:43and diverse distances from us but if we

3:47think of this celestial sphere we can

3:50actually project this coordinate system

3:52onto it remember we took the equators

3:55our the equator and projected it so we

3:58call it a celestial equator lining up

4:00with the earth's equator and we also

4:02could talk about the celestial poles

4:05lining up with Earth's north and south

4:07poles so why can't we take a similar

4:10coordinate system and project it on

4:11there of course we do add a slight

4:14wrinkle and that we change the names but

4:17the idea is still the same

4:19rather than longitude latitude now we're

4:21talking about the ideas of declination

4:23and right ascension

4:25which may sound more complicated and

4:28needs but it's still a coordinate system

4:31it's just projecting this onto the

4:34celestial sphere remember last time we

4:36left off we had the idea of

4:38constellations but that was just a very

4:41general rough direction in the sky where

4:44something was we need something precise

4:47something I can exactly tell us I mean

4:49the sky is very very very very large to

4:52say it's in a genore direction isn't

4:54gonna help us much especially if we're

4:55talking about one point light versus

4:56another it's gonna be very difficult to

4:58actually figure out what anybody is

5:00talking about unless we can very quickly

5:02narrow it down to a specific point so

5:05that's the idea of declination and right

5:07ascension so what is declination well it

5:11tells us how far north or south of the

5:14celestial equator something is hopefully

5:16sounds a little bit's million and again

5:19we're going to measure in degrees in

5:20this case the positive degrees would

5:23mean north at equator and negative would

5:26mean south of the equator so you can

5:29talk about something being at 30 degrees

5:33back in the nation that means it's 30

5:36degrees north of the Equator you might

5:38also see it sometimes written still with

5:40the degrees north or degrees south but

5:43often it's also written with negatives

5:44so if it's a negative or if it's just a

5:47positive and you're not sure what that

5:48means you've kind of safely assume it

5:50means north of the Akula lest you'll

5:52equator and right ascension this tells

5:56us how far east it or west it is and

6:00we'll talk more in a second about a

6:02specific point but talks about how far

6:04east or west it is and this can actually

6:08be measured in two ways we can talk

6:10about in degrees or we can talk about it

6:13in hours and this means actual hours

6:15because remember earth is rotating on

6:18its axis and so what we end up saying is

6:21that we can describe it as degrees or

6:23hours and the rate is 15 degrees equals

6:26one hour now where does this come from

6:28well if we take a circle is 360 degrees

6:31if we take a day it's 24 hours if you

6:35divide 360 by 24 we get 15

6:39so 15 degrees should be equal to one

6:42hour and that means when we are looking

6:45at the Earth's rotation in an hour it's

6:48a celestial sphere should rotate by

6:51about 15 degrees so that's just two

6:54different ways of describing it in terms

6:56of degrees or hours and again it's just

6:58selling how far east or west it is now

7:00what's the zero point in this case

7:02well the zero point is the sun's

7:05position during the vernal equinox and

7:08we'll look at what that is a little bit

7:10later but the vernal equinox for now I

7:11just think is a certain time of year

7:13certain time of year and where the Sun

7:15is at that time of year at noon of that

7:18day that's all that's or zero point and

7:22we're measuring east and west so what do

7:24we end up with again a coordinate system

7:26a way of describing up north and south

7:29in the east and west and so then we can

7:31map out the sky and if we want to

7:34project that onto a two-dimensional

7:35surface we can think this is the sky

7:38of course it's actually wrapped around

7:41us when we look at it but this gives us

7:44a very nice coordinate system and we can

7:46very quickly describe or something is I

7:49mean we have to go to Spiner

7:51measurements but we can actually say

7:53where exactly something is by describing

7:56its declination and right ascension

7:58gives us a coordinate system that's what

8:00this is and if this is something you're

8:02struggling with or just want to see

8:04another example you might want to check

8:06out some of the animations from our book

8:08I mean I would generally recommend some

8:10of the animations anyway or some of the

8:11extra resources I put at the end of the

8:13chapter I don't really don't repeat the

8:15ones from the book just because you can

8:17get them from the book instead but you

8:19can see this would let you actually play

8:21around with the idea of declination and

8:23right ascension and seeing how it

8:26actually moves around so it's worth

8:28checking out some of those additional

8:30resources especially if you're

8:31struggling with a concept

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