Simulating a 3D Quadcopter from Scratch
This article discusses the simulation of a 3D quadcopter from scratch, building on previous work in 2D. It covers the derivation of equations of motion, the use of quaternions for representing attitude, and the integration of these concepts into a Python simulation. The article aims to provide a comprehensive understanding of quadcopter dynamics and simulation techniques.
- ▪The simulation involves deriving equations of motion for a 3D quadcopter using both world and body frames.
- ▪Quaternions are introduced as a method for representing the quadcopter's attitude, offering advantages over traditional methods.
- ▪The article provides a detailed explanation of the rigid-body equations of motion necessary for simulating the quadcopter's behavior.
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Record
| Original publisher | Home |
| Canonical URL | https://mrandri19.github.io/2026/04/11/3d-quadcopter-simulation.html |
| Publication time | Mon, 25 May 2026 12:55:36 +0000 |
| Retrieval time | 2026-05-25T13:07:37.303Z |
| Last seen | 2026-05-25T13:07:37.303Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | BjkQnjEkj0Gt |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
Rights status (four layers)
WeSearch handling by dimension
| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
Simulating a 3D quadcopter from scratch Apr 11, 2026 This post is the second post in our series on quadcopter simulation. If you want the simpler planar version first, the previous post derives and simulates the same ideas in 2D, but this post is fully standalone. Today, we simulate a three-dimensional quadcopter. We will derive the equations of motion, transform them into state-space form, and finally simulate the system in Python. Along the way, we introduce quaternions and quaternion derivatives. Problem setup and coordinates The free-body diagram for the quadcopter is shown below. We use a right-hand coordinate frame with the \(z\) axis for altitude. The axes \(\{x, y, z\}\) are constant over time and form the world frame. This frame of reference is inertial (does not accelerate).
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Excerpt limited to ~120 words for fair-use compliance. The full article is at Home.
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