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Section 4.3

Mark Lubrick · 1,095 words · 5 min read

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0:00so the next thing we're gonna do is

0:02define a day and yes I'll admit that

0:05probably sounds silly I mean everyone's

0:08used to what a day is but in astronomy

0:11we actually end up with two different

0:13types of day the so called solar day

0:15which is what you're used to and the

0:18sidereal day okay so a solar day again

0:21is from one noon to the next 24-hour day

0:25that we're all used to sidereal day well

0:29to think of sidereal it's really

0:32relative to the Stars but I usually

0:35define sidereal day as to think 360 then

0:38talk about sidereal day insider a month

0:40so when you think sidereal think 360

0:43degrees one full rotation so a sidereal

0:47day would mean when the earth does one

0:50full 360 degree rotation well you might

0:56be surprised to know that that's not

0:57what our day is the normal day we're

1:00used to is when the earth is actually

1:02rotated more than 360 degrees and to

1:05understand that we have this nice little

1:06image here so we're gonna think this red

1:10line or the line inside the circle is us

1:13we're standing on earth we're looking up

1:16at noon looking not looking at the Sun

1:18you shouldn't look directly at the Sun

1:19always a bad idea but right above us

1:22would be the Sun it's noon well a day

1:25later after we've done a full 360 degree

1:29turn here we are but we're not lined up

1:32with a Sun yet and the reason is because

1:34remember earth is rotating around the

1:37Sun and so it's actually moved in that

1:39time and I mean this is exaggerated but

1:42it's moved in that time and so we

1:45actually have to go further than a full

1:46360 degree rotation to get lined back up

1:50with the Sun to get back to our noon and

1:52the difference is approximately four

1:54minutes so a sidereal day is about three

1:5723 hours of 56 minutes and now it might

2:00again seems silly why do we necessarily

2:03care well in astronomy we want to be

2:06able to sometimes look at the same

2:08object stars at the same time and so

2:12from

2:13day two annexed those stars are gonna

2:15actually ride I'm gonna actually grow or

2:18it sorry it actually rise so from one

2:22day to the next those stars are not

2:24gonna rise at the same time according to

2:26our normal solar day they're gonna

2:28actually rise again 23 hours and 56

2:32minutes later so if I want to study the

2:34same star the same conditions I'm not

2:37using the solar day and over time this

2:39fact will actually get quite drastic I

2:42mean sure one day Foreman it's not a big

2:44deal but over time that's gonna add up

2:46and actually let's take a quick look at

2:48an example so what I got simple example

2:53right here star rises at 8 p.m. we don't

2:56care what the star is we're just hold us

2:58star rises at 8 p.m. in 30 days what

3:03time will it rise so how are we gonna

3:06work this out well the main thing to

3:08keep in mind is this idea that every day

3:12there would be a difference of four

3:14minutes every day four minutes per day

3:17great so then we think well in our case

3:21we have 30 days great so we want to

3:24think of how much this will be in 30

3:27days well we can actually multiply this

3:29out and our case the days will cancel

3:32out and we can think in essence we're

3:34getting four minutes times 30 or 4 times

3:3730 minutes so in other words 120 minutes

3:40and as long as we remember that there's

3:4260 minutes in an hour that's the same as

3:43saying two hours great the last thing we

3:48have to remember is that it's actually

3:50rising earlier because that rotation is

3:53actually rising earlier so what's two

3:56hours before 8 p.m.

3:57well 6 p.m. so that would be the answer

4:02to this question and if you're looking

4:03for another example our book has one on

4:05it's example 4.3 on page 115 so if

4:09you're struggling with this definitely

4:11take a look I think this would make a

4:13great question you're gonna see an

4:15assignment won't be shocked to see it on

4:17a midterm so make sure you know how to

4:19do it well one other concept I want to

4:23talk about is idea of mean solar time

4:27well we're used to the idea of a our

4:3024-hour clock and we know what time it

4:32is we look at her phone we see the time

4:34but that wasn't always practical and in

4:38fact for a long time every city had

4:42their own time because they would look

4:43at well our noon is when the sky Sun is

4:46right above us so in the 1800's if you'd

4:50been around they would have actually had

4:52different times in each city each city

4:55would have had its own unique time based

4:58on how the Sun rose for them

5:01now eventually the world kind of

5:04realized we had to figure something out

5:06and I mean what we ended up with was

5:08these standardized time zones we have 24

5:12time zones 4 and everyone is just a

5:14difference by one hour and this was by

5:18about 1900 most of the world was using

5:20this so but before that and again in

5:23really early 1800s every city would have

5:26had slightly different time of their own

5:28so it's a kind of a neat idea I thought

5:32but one thing that we have to consider

5:36as well is as you travel from one time

5:38zone to another again we have these 24

5:41time zones that evenly split up the

5:43planet and so we roughly have averaged

5:46out certain regions to have their own

5:48time zones well if you kept traveling

5:49around and around the planet and we're

5:51doing it in less than 24 hours

5:53technically you could just keep gaining

5:55days so of course that couldn't be

5:57allowed to happen because again as you

6:00go across time zones you have to change

6:01by an hour and if you kept doing it well

6:03again you're not gonna just keep gaining

6:05days and just be out of sync with the

6:06rest of humanity so what we had to do is

6:09invent the International Dateline a

6:11made-up area where this is where we go

6:14from one day to another

6:15if you travel from one side to the other

6:17you would be going from one day to

6:19another

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