Recently I saw an interesting Earth Venus cosmic dance video on Facebook. See the original video below or here.
Although this is not entirely accurate from physics & astronomy perspectives, the dance is a stunning example of patterns that are generated by simple things.
I wanted to recreate this cosmic dance in Excel. How else am I to get my spreadsheet fix on a Saturday?
Here is a quick demo of the final outcome. Read on to learn more about the Earth Venus cosmic dance.
The details & assumptions
To create this cosmic dance, we need a few details
- Distance from Sun to Venus & Earth – 67.2 and 93 million KM respectively
- Number of days it takes to rotate around the sun – 224.7 and 365.25 respectively
We will also assume these incorrect things to keep our model simple
- Orbits of Earth & Venus are circular with Sun at center: In reality, they are elliptical, but as these are just stretched circles, we can assume circular orbits to keep the math simple.
- Sun is static: In reality, Sun (and entire solar system) is also moving. This means, this cosmic dance may never occur.
We also need one critical detail to graph this cosmic dance:
- The angular interval for plotting the lines. In the above examples, I have used 10° (ie there will be 36 lines around the circle). This is denoted by named range m in the model. You can adjust this in the output worksheet using a form control. Different values of m yield different patterns (although most of them will be pentagonal).
The math:
Generating planetary co-ordinates:
In a table, we will generate the positions (X & Y co-ordinates) of both Venus & Earth for 3000 points in time, each incremented by m degrees, starting at 0°.
To generate the X & Y values, we will use the x=r.cos? and y=r.sin? equations (where r is the distance from Sun and ? is the angle).
Drawing the lines:
This is the tricky part. At each step in the animation our line should from one tooth of the saw tooth pattern. See this demo to understand.
For more about this technique read – interactive network chart to map relationships between people.
So during each step of the animation, we add more co-ordinates to the chart (scatter plot) to generate this saw tooth pattern. Over time, this will yield the beautiful pentagonal cosmic dance.
We can generate these successive Venus & Earth co-ordinates from the calculations performed earlier by using MOD & INDEX formulas.
Once such saw tooth line data is generated, we will designate a cell to hold current animation position. Let’s call this pos.
We will then create two named formulas – dance.x and dance.y. These will contain the data necessary for our scatter plot. We will use OFFSET formula to generate these dynamic named formulas.
The chart
Now that all the necessary calculations are done, create a scatter plot with the dance co-ordinates. Set up X & Y axis minimum and maximum values accordingly (-160 to 160 should do). This ensures that the chart remains same no matter what step of animation we are on.
Also, add 3 more series to the chart
- One for a dot to represent Venus at current position
- One for a dot to represent Earth at current position
- One for a line connecting Venus to Earth
The animation
Next, let’s add a small macro to animate the chart. This macro will increment pos from 1 to a large number. After each iteration, we will call DoEvents so Excel can re-draw the chart. That is all.
Download the Earth Venus dance workbook
Click here to download the Earth Venus cosmic dance workbook. Enable macros to enjoy the dance. Play with form control to adjust the animation speed and pattern. Examine the data tab to learn more about the calculations.
Did you enjoy the dance?
I really liked the original video on FB and that is why I recreated this in Excel. This is a great exercise to show the power of simple things generating extraordinary patterns.
What about you? Do you like this Earth Venus dance?
More Excel animation and fun:
If you like animating things, you are going to love these tutorials. Check out,
30 Responses to “Great News: Chandoo becomes MVP”
Congratulations! It's well deserved. 🙂
This is amazing. Hearty congratulations and a rocking new year ahead!!!
Congrats! I have learnt alot from your site... and the most important is learning how to achieve the most with the simplest concepts.
Thanks for the excel calendar. Is it possible to get a simple big fonted calendar printable on an A4 size paper without any distracive notes or visuals? BTW, I have already signed up for your newsletter. With warm regards and
Gratefully yours
50+ year old CHarish.
Hey Chandoo,
Great to hear that. Congratulations! The best new year gift, I would say. Keep it up, u've been doing extraordinary work for the excel users community.
Regards,
Pankaj Verma
Congrats dude... fantastic news!
congratulations! your site is great, this is well deserved
Rich
I recently found your site, I visit many. The tips that you provide are in the top 1% of all the sites I visit. Keep on Excelling.
Arnold
South Africa
Congratulations, Chandoo! That's a great way to start the year and make the PHD even better.
Congratulations, Chandoo.
Your site is one of most useful on the net. Happy new year and lot of ideas you will present for us.
Congrats.
Just read your name in an email from Abhishek. Well deserved.
Congratulations, and Happy New Year.
Greetings from Rio de Janeiro my friend! You trully deserve it!
Nive way to start 2009! Keep up the good work!
FC
That was quite forseeable , so you have now really got your PhD in excel.
Anyways Chandoo you have made excel a real Fun doo
I will like you to write some more on INDEX and MATCH function in near future.
@Hey Chandoo ! Congrates....
Ab to treat mangta hai !
Well deserved Chandoo!!
Congrat's!! Very well deserved 🙂
i always browsed mr.excel and used to see MVP writtne below names of people who used to solve queries in excel forum there......i just used to admire as to what they have special in them that they are MVP......
but now i got my answer...............u deserve it man..........
@All: thanks everyone 🙂
Congratulations Chandoo, nice job!
Chandoo,
A well deserved recognition and a good start to the New Year. Continue your good work.
Subbu
Many Congratulations.
You deserve a Ph.D. 🙂
congrats.....
Congrats dude. Rock on!
[...] charting community in 2007 and has been growing strongly ever since. In year 2009, I have received the MVP award from Microsoft. Just few days back I have become a dad [...]
Respected sir,
I am impressed!.... Good job done.. Keep it up...
Sir, How to be a MVP certified person. What level of knowledge is required for it? send me links if possible.
Please reply...
Regards,
Dipak Khalasi.
Dipak -
The first thing you need to cultivate is the ability to search the web effectively. You could start by Googling "Microsoft MVP".
[...] boy and girl which has been made hectic and incredibly fun ever since to their life.He has been awarded MVP status in 2009 by Microsoft(and renewed in 2010,2011 & 2012).His MVP profile is here.If you want to contact him direct then [...]
Congrats Chandoo!!
[…] Chandoo becomes MVP […]