Dyson Sphere: Difference between revisions

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Unfortunately, this author did not record observations of the power output of frame segments during construction, and so cannot presently derive their effects on the total power output. Suffice it to say, that the solar sails at half the distance appear to be generating approximately half the power. (this is the only part of the math here that goes against the expectation from real world physics - the same radial area is covered, so the same amount of energy should be captured, if not <em>higher</em> energy captured at closer distances. However, in video game terms, it makes sense to have a cost vs benefit of constructing closer to the sun.)
Unfortunately, this author did not record observations of the power output of frame segments during construction, and so cannot presently derive their effects on the total power output. Suffice it to say, that the solar sails at half the distance appear to be generating approximately half the power. (this is the only part of the math here that goes against the expectation from real world physics - the same radial area is covered, so the same amount of energy should be captured, if not <em>higher</em> energy captured at closer distances. However, in video game terms, it makes sense to have a cost vs benefit of constructing closer to the sun.)


===Followup From another player===


<ins><After reading that the last author forgot to record observations fo<u>r the power output of the frame i</u>tself, I decided to do just that.  Here is what I found...PS, feel free to use/edit my contribution to sound more coherent with the rest of the page.></ins>
After reading that the last author forgot to record observations for the power output of the frame itself, I decided to do just that.  Here is what I found...PS, feel free to use/edit my contribution to sound more coherent with the rest of the page.
{| class="wikitable"
{| class="wikitable"
|Star Type
|Star Type
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|}
|}


====== <ins>Method and things to mention</ins> ======
====== Method and things to mention ======
<ins>First, I want to mention that I did not think to measure the output of the nodes vs segments, so for these values it is looking at total # frame parts used.  The frames observed were a circle at the top of the sphere with 4 nodes and segments going around to connect them.  I did my best to keep the radius the same for all data points but some stars would not allow for the 22900m and I was forced to use a smaller radius on some stars, so feel free to throw out those data points if necessary.</ins>
First, I want to mention that I did not think to measure the output of the nodes vs segments, so for these values it is looking at total # frame parts used.  The frames observed were a circle at the top of the sphere with 4 nodes and segments going around to connect them.  I did my best to keep the radius the same for all data points but some stars would not allow for the 22900m and I was forced to use a smaller radius on some stars, so feel free to throw out those data points if necessary.


====== <ins>Findings</ins> ======
====== Findings======
<ins>As you can see by the table, each part launched into the frame produces a base output of roughly 0.096MW or 96kW.  It is then multiplied by the luminosity of the star to get it's actual output after being launched.  </ins>
As you can see by the table, each part launched into the frame produces a base output of roughly 0.096MW or 96kW.  It is then multiplied by the luminosity of the star to get it's actual output after being launched.   


<ins>As I set out to find some constant that represented the power output per frame part I did not know if distance mattered to it's output either.  I had thought that the radius only changed how many parts were needed for that particular structure and that my calculations would show that the radius was moot for this experiment.  However, even though I was pleased to see that the equation I used seemed to find that constant regardless of the distance, I hadn't started recording the radius at the time of setting up the frames and I accidentally had one (on the K-type star) at 19200m and another (the F-type star) at 19700m.  These two data points are somewhat anomalous as they suggest there may be some range for the radius vs # of frames that make up the segments between the nodes (because they are at different distances but use the same # of frames) and that the power output may change slightly depending on where the frame sits within that range (because the MW/frame part rounds down to 95kW instead of 96kW like all the rest).</ins>
As I set out to find some constant that represented the power output per frame part I did not know if distance mattered to it's output either.  I had thought that the radius only changed how many parts were needed for that particular structure and that my calculations would show that the radius was moot for this experiment.  However, even though I was pleased to see that the equation I used seemed to find that constant regardless of the distance, I hadn't started recording the radius at the time of setting up the frames and I accidentally had one (on the K-type star) at 19200m and another (the F-type star) at 19700m.  These two data points are somewhat anomalous as they suggest there may be some range for the radius vs # of frames that make up the segments between the nodes (because they are at different distances but use the same # of frames) and that the power output may change slightly depending on where the frame sits within that range (because the MW/frame part rounds down to 95kW instead of 96kW like all the rest).


====== <ins>Conclusion</ins> ======
====== Conclusion ======
<ins>I know a lot more could be done to show more helpful information like "what radius should I build at to get exactly 5GW of power" but maybe this, coupled with the previous author's information, can help you understand the games mechanics just a bit more.</ins>
I know a lot more could be done to show more helpful information like "what radius should I build at to get exactly 5GW of power" but maybe this, coupled with the previous author's information, can help you understand the games mechanics just a bit more.


<ins><End of addition></ins>
<End of addition>


====== <u>From first code inspection (Note: this is a draft of a explanation)</u> ======
====== From first code inspection (Note: this is a draft of a explanation) ======
All the energy and power values are proportional to the luminosity of the star, therefore, in the fellowing they are all given in the case of a 1L star.
All the energy and power values are proportional to the luminosity of the star, therefore, in the following they are all given in the case of a 1L star.


From a quick code inspection, the energy generated by tick (60 ticks per second as far as I know) by the dyson swarm is the product of the number of sails by a constant egal by default to 400. This would lead to 24kW per sail if the unit of the aford mention constant is Joule per tick.
From a quick code inspection, the energy generated by tick (60 ticks per second as far as I know) by the Dyson Swarm is the product of the number of sails by a constant egal by default to 400. This would lead to 24kW per sail if the unit of the afford mention constant is Joule per tick.


For the dyson sphere, it is not that much more complicated.
For the Dyson Sphere, it is not that much more complicated.


Each node generates energy proportional to the amount of structures installed on the node. The constant is 1500 by default. Assuming the above units, 60 ticks per second and 90 structures per completed nodes, each fully built node would generate 8.1MW.
Each node generates energy proportional to the amount of structures installed on the node. The constant is 1500 by default. Assuming the above units, 60 ticks per second and 90 structures per completed nodes, each fully built node would generate 8.1MW.
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Then each sails generates power. The calculation is also proportional to the number of solar sails present in the construction. The constant is 300 energy per tick. With the same assumption as above, the power per solar sail generated would be 18kW which is less than in the swarm.
Then each sails generates power. The calculation is also proportional to the number of solar sails present in the construction. The constant is 300 energy per tick. With the same assumption as above, the power per solar sail generated would be 18kW which is less than in the swarm.


In conclution, the power generated is proportional to the amount of structures and solar sails present in the dyson sphere as it was suspected from the above sections. Therefore it is expected that the bigger the dyson sphere the more power it would generate.
In conclusion, the power generated is proportional to the amount of structures and solar sails present in the Dyson Sphere as it was suspected from the above sections. Therefore it is expected that the bigger the Dyson Sphere the more power it would generate.


Further code inspection could lead to the complet understanding of the dyson sphere power computation. But I can understand that some people would prefer to make more "conventional" research and that direct code inspection could spoil that fun. So should I continue and extend this post with more information?
Further code inspection could lead to the complete understanding of the Dyson sphere power computation. But I can understand that some people would prefer to make more "conventional" research and that direct code inspection could spoil that fun. So should I continue and extend this post with more information?
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