• I
• darkdave3000
In summary: He must not have. It's four clicks away and I found it in under a minute.Can you show me a few of what you found? Maybe I’m searching the wrong links.Why don't you instead tell us what links you are following and why you think that these would be the most likely to bear fruit?
darkdave3000
TL;DR Summary
Calculating magnetic field strength at points around the Earth.
I want to render the Earth’s Magnetic field in a software and simulate solar wind electron interaction with it. How do I calculate the magnetic strength and vector orientation at each point around the Earth up to thousands of km?

Is there a formula?

Astronomy news on Phys.org
It is more complex than you think. Can you imagine a simple formula for this?

davenn and berkeman
anorlunda said:
It is more complex than you think. Can you imagine a simple formula for this?

View attachment 246797
Is there a vector field file that I can download for this?

anorlunda said:
It is more complex than you think. Can you imagine a simple formula for this?
Cool image! Where did it come from? Maybe @darkdave3000 can get the data from the source (like if it came from a simulation in COMSOL or something)...

The image comes from

https://en.wikipedia.org/wiki/Earth's_magnetic_field#cite_note-selfconsistent-1
The references in the article may lead to some data files.

It may be a bit extreme because it is from a period of pole reversal. However, even in other periods, it is complex and non-uniform although not as extreme.

If you get away from the surface, the field becomes more regular, but still not simple. This image comes from the same Wikipedia article. That might be more suitable to solar wind studies.
But I'll wager that other PF members may be able to point to publicly available models or data sets.

Edit: I think it would also be fun to gaze inward. I recall mention of vorticies in the Earth's mantle giving rise to the Earth's field via the dynamo effect. As the vorticies twist and turn (on geological time scales) the field moves and distorts. That too would be fun to model.

anorlunda said:
The image comes from

https://en.wikipedia.org/wiki/Earth's_magnetic_field#cite_note-selfconsistent-1
The references in the article may lead to some data files.

It may be a bit extreme because it is from a period of pole reversal. However, even in other periods, it is complex and non-uniform although not as extreme.

If you get away from the surface, the field becomes more regular, but still not simple. This image comes from the same Wikipedia article. That might be more suitable to solar wind studies.
But I'll wager that other PF members may be able to point to publicly available models or data sets.

Edit: I think it would also be fun to gaze inward. I recall mention of vorticies in the Earth's mantle giving rise to the Earth's field via the dynamo effect. As the vorticies twist and turn (on geological time scales) the field moves and distorts. That too would be fun to model.
I couldn’t find any files via references from that page.

darkdave3000 said:
I couldn’t find any files via references from that page.

you went through every one of those 78 references + the "further reading + "external links" ?

davenn said:
you went through every one of those 78 references + the "further reading + "external links" ?

He must not have. It's four clicks away and I found it in under a minute.

berkeman, anorlunda and davenn
Can you show me a few of what you found? Maybe I’m searching the wrong links.

Why don't you instead tell us what links you are following and why you think that these would be the most likely to bear fruit?

If you aren't willing to provide even the most basic answer to my question, why shouldn't everyone simply conclude you want us to do your research for you? You don't want help. You want us to do it.

If you aren't willing to provide even the most basic answer to my question, why shouldn't everyone simply conclude you want us to do your research for you? You don't want help. You want us to do it.
I couldn’t find any files, vector field or otherwise.

anorlunda said:
The image comes from

https://en.wikipedia.org/wiki/Earth's_magnetic_field#cite_note-selfconsistent-1The references in the article may lead to some data files.
darkdave3000 said:
Maybe I’m searching the wrong links.
davenn said:
you went through every one of those 78 references + the "further reading + "external links" ?
I started skimming down the references in the linked article, clicking into a few, and then clicked into Lucky #13.

That landed me in a long list of FAQs about the subject, and seemed to be pointing to several models of the Earth's geomagnetic field. I started seeing that there are several models that are used, and data and simulations for each. I didn't spend a lot of time looking, but clicking into FAQ #4 about how to get some of the model coefficients got me to a page with one possible equation to use. You might see if you can base your simulations off of that equation, to get some preliminary data. You will also need to get some sort of data or model of the Solar Wind, I would think.

You may want to spend some time clicking through the different models that are mentioned in the FAQ list -- that should help you to understand more about how the geomagnetic field is modeled.

Part of the FAQs:

Clicking on the IGRF model in FAQ #4

Keith_McClary and davenn

## 1. What is the formula for Earth's Magnetic field?

The formula for Earth's Magnetic field is B = μ0 (M/4πr^3) where B is the magnetic field strength, μ0 is the permeability of free space, M is the dipole moment, and r is the distance from the center of the Earth.

## 2. Can I download the vector field for Earth's Magnetic field?

Yes, there are many websites and resources available where you can download the vector field for Earth's Magnetic field. Some examples include NASA's Earth's Magnetic Field Visualization Tool and the World Magnetic Model website.

## 3. How is Earth's Magnetic field measured?

Earth's Magnetic field is measured using a device called a magnetometer. This instrument measures the strength and direction of the magnetic field at a specific location on Earth.

## 4. What causes Earth's Magnetic field?

Earth's Magnetic field is caused by the movement of molten iron in the outer core of the Earth. This creates a dynamo effect, generating electric currents that produce the magnetic field.

## 5. Is Earth's Magnetic field constant?

No, Earth's Magnetic field is not constant. It is known to change over time and can even reverse its polarity. These changes are caused by the movement of the Earth's molten core and other factors such as solar activity.

• Astronomy and Astrophysics
Replies
1
Views
621
• Astronomy and Astrophysics
Replies
5
Views
2K
• Astronomy and Astrophysics
Replies
30
Views
5K
• Astronomy and Astrophysics
Replies
23
Views
3K
• Astronomy and Astrophysics
Replies
15
Views
2K
• Introductory Physics Homework Help
Replies
9
Views
545
• Electromagnetism
Replies
2
Views
327
• Classical Physics
Replies
2
Views
841
• Electromagnetism
Replies
17
Views
1K
• Introductory Physics Homework Help
Replies
12
Views
518