Physical aspects of our Solar System

  • Thread starter decs
  • Start date
10
0
Consider the physical aspects of our Solar System that result in the Earth having seasons... how does this gives us variable hours of daylight.

How would i calculate the shortest or longest day for a specific point on earth?

cheers.
 

Zurtex

Science Advisor
Homework Helper
1,120
1
Err, what is your level of understanding of the dynamics of the Earth? I mean what do you know about how it travels around the sun? What measurements do you have about velocity of orbit, speed or rotation, tilt of axis etc..?
 

radou

Homework Helper
3,105
6
ever heard of www.google.com ? :biggrin:
 
10
0
Zurtex said:
Err, what is your level of understanding of the dynamics of the Earth? I mean what do you know about how it travels around the sun? What measurements do you have about velocity of orbit, speed or rotation, tilt of axis etc..?
i have absolutely no data about any of the prior. what i DO have is various cities locations and the amount of daylight they experienced on the 4th of July.

I should be able to extend these findings to make a generalisation about the hours of daylight for any latitude and longitude.

there should be a relationship that relates the day of the year, the hours of daylight, the latitude and the longitude.
 

Zurtex

Science Advisor
Homework Helper
1,120
1
decs said:
i have absolutely no data about any of the prior. what i DO have is various cities locations and the amount of daylight they experienced on the 4th of July.

I should be able to extend these findings to make a generalisation about the hours of daylight for any latitude and longitude.

there should be a relationship that relates the day of the year, the hours of daylight, the latitude and the longitude.
Yeah, I wouldn't imagine it's all that complex but you need to know a bit about ellipses and spheres.

However by the sounds of it you don't really have the mathematical knowledge to construct a method to work out day light given the latitude and longitude and the date. There are calculators all over the web that will just give an output for you though, like the above poster says, you could just use Google.
 
10
0
i formula so far is

12+(12/67)*latitude*cos(2pi.t)=hours of sunlight

where t=days/365

its ALMOST right ppl...
 

Zurtex

Science Advisor
Homework Helper
1,120
1
decs said:
i formula so far is

12+(12/67)*latitude*cos(2pi.t)=hours of sunlight

where t=days/365

its ALMOST right ppl...
May I ask how you derived that? I may be able to help you.

Edit: Oh and it clearly isn't right as it wouldn't work for extreme places like such as the north and south poles where there can be daylight for days.

I speant about 5 minuites attempting to draw out a model to caclulate it when I realised quite a lot of data. Anyway here is something I found while looking it up: http://www.spsu.edu/math/stinger/101-115/109.htm

I have a feeling that is a bit simplified but I think it might do you nicely.
 
Last edited:

uart

Science Advisor
2,776
9
I remembering figuring this one out years ago when I was a student. I'm not sure if the equation I got was exact, but I think it was pretty close. The formula I arrived at was

daylight_hours = 12 ( 1 + 2/Pi arcsin( tan(tilt) tan(lat) sin(2 Pi * n / 365.25) ) )

Where,
tilt = Constant of 0.4093 radians (23.45 degrees)
lat = Latitude of location on Earth.
n = Number of days elapsed since the northern hemishpere spring equinox.

Notes.

1. I've used radian throughout, just change each literal occurance of "Pi" to 180 if you want to use degrees throughout.

2. The equation should apply without modification to both northern and southern hemispheres provided that southern latitudes are entered as negative.
 
Last edited:

Related Threads for: Physical aspects of our Solar System

Replies
1
Views
1K
Replies
56
Views
18K
Replies
1
Views
2K
Replies
4
Views
2K
Replies
6
Views
1K
Replies
17
Views
3K
  • Posted
Replies
12
Views
939

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top