This post explains the mathematical principles and dynamics of elliptical orbits in celestial mechanics. To fully grasp how planets move and where they are at any given time, it begins by introducing the concept of planetary orbits as ellipses, following Johannes Kepler’s first law of planetar...
This article introduces Spherical Harmonics (SH) and explains their mathematical foundation and applications. It covers how SH functions are used to represent data on spherical surfaces, particularly in computer graphics, including 3D Gaussian Splatting field. The interactive demo allows users...
Until now, I’ve illustrated celestial bodies as a completely spherical shapes: Earth, Sun, and Saturn. They have enough gravity to form nearly smooth, spherical shapes. However, Phobos, one of Mars’ moons, has an irregular shape due to its low mass and weak gravity, which aren’t strong enough ...
In the solar system, there are two main types of planets: rocky and gas giants, some of which have rings. Among them, Saturn is the most well-known gas giant with prominent rings. This project focuses on creating a realistic 3D model of Saturn, with a detailed representation of its rings, surf...
This article provides an overview of interpolation methods including flat, linear, and cubic, along with examples. I’ll provide a simple example to use them. These interpolation methods aim to compute a value inside vertices and, further, advanced interpolation methods aim to make smooth value...