We need to visualize the Solar System in a 3D space where each celestial body (planets and the Sun) is represented by a point. Each object should be distinguished by its relative size and a unique color. The goal is to create a simple yet effective 3D scatter plot that provides an intuitive way to see the distribution of planets in space.
### **Solution Approach**
1. **Defining Celestial Bodies**
- The Solar System consists of the Sun and eight planets: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
- Each celestial body has two key properties:
- **Size:** Represented as a numerical value relative to Earth's size (Earth = 1).
- **Distance:** The distance from the Sun in astronomical units (AU), where Earth is at 1 AU.
2. **Assigning Random Positions**
- Since the actual orbits and positions change over time, the visualization places each celestial body at a random position in 3D space within a fixed range.
3. **Choosing Colors**
- Each object is assigned a random color to differentiate it from the others.
4. **Plotting the Data**
- A 3D scatter plot is created where:
- The **X, Y, and Z coordinates** are randomly assigned within a fixed range.
- The **size of the marker** corresponds to the planet’s relative size.
- The **color of each marker** is randomly assigned from a predefined set.
5. **Adding Labels and Legend**
- Labels and a legend are included to indicate which point represents which celestial body.
- The plot is titled "Solar System," and axis labels (X, Y, Z) are added for better visualization.
### **Final Outcome**
- A visually appealing 3D scatter plot where the Sun and planets are positioned randomly but still maintain their relative size differences.
- The visualization helps in understanding the scale of planetary sizes while giving an abstract representation of their distribution in space.
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