![mini orbiter by planet time mini orbiter by planet time](https://i.ytimg.com/vi/dJqKIg0zbqY/maxresdefault.jpg)
![mini orbiter by planet time mini orbiter by planet time](https://i.ytimg.com/vi/n52L05X_pw8/hqdefault.jpg)
Now modify the model to include motion of the center planet. Use this same planetary density to find the mass of the center planet.Find the planetary density assuming the inner planets have a mass of 1 ukg (fake kilogram unit). The inner planets have a radius of 0.05 units and the outer planets have a radius of 0.066 units (arbitrary units). Suppose the orbiting planets are spheres with a uniform density.Is it still a stable situation? You can assume the outer planets have twice the mass of the inner planets. Modify the model so that there is a gravitational interaction between all the orbiting planets.I need to give you some homework questions also. Here is an example of a numerical calculation using real-world gravity. Then I just need to do this a whole bunch of times to get my model. During each time interval, I can assume that the force is constant and use that to find the new position and velocity. The basic idea is to break the calculation into tiny time intervals.
![mini orbiter by planet time mini orbiter by planet time](https://orbitermag.com/wp-content/uploads/2019/06/Orbit-still_128.jpg)
I will use a numerical calculation to find the position of the planets at different times. If you haven't used it, it's pretty nice. This is a version of Python that runs in a web browser and includes 3D visualizations. OK, what's next? I like to say that you don't really understand something unless you can model it-so let's build a model.įor this model, I'm going to use GlowScript. However, the product of this center planet's mass and the gravitational constant would have to be around 1.08 m 2s 2. Of course, I don't know the Reddit version of the constant G, and I don't know the mass of the center planet. We can call this the Reddit Law of Gravity since it's not the real gravitational force. Then I can see if different orbital distances have different orbital speeds. By using the angular position instead of x and y coordinates, I can still map out the motion, but I don't have to worry about the orbital size. This is the same as if you were using polar coordinates instead of Cartesian coordinates. What is the angular position? If you were to draw a line from the middle of the center sun to one of the orbiting planets (in a flat plane), the angle between this line and the x-axis would be its angular position. One of the simplest things would be to look at the angular position as a function of time. In order to see if this figure moves in some type of realistic way, I need to look at the motion of the planets. This is the distance across the whole orbit of one of the outer “planets." I don't know the actual size of this “planetary system” (or whatever it is), so I will just set the scale size to 1 outer orbital diameter unit. Of course, the screen shows distance in units of pixels and that's not very useful. I can do a screen capture of the loading screen and then use my favorite video analysis program ( Tracker Video Analysis) to get position and time data.