Julia

Last reviewed: March 2026 julialang.org ↗

What It Is

Julia is a high-performance programming language designed for scientific computing, numerical analysis, and computational science. Created at MIT in 2012, Julia solves the "two-language problem" — the situation where scientists prototype in a slow, easy language (Python or MATLAB) and then rewrite performance-critical code in C or Fortran. Julia is as easy to write as Python but runs at speeds comparable to C, eliminating the need to rewrite.

Julia is completely free and open source, available at julialang.org for Windows, Mac, and Linux. The Julia ecosystem includes powerful packages for differential equations (DifferentialEquations.jl — the best ODE/PDE solver library in any language), optimization (JuMP.jl), machine learning (Flux.jl), and automatic differentiation (Zygote.jl). The language has been adopted by NASA, the Federal Reserve, and pharmaceutical companies for computationally intensive work.

Julia is not yet as widely used in aerospace industry as Python or MATLAB, but it is growing rapidly in aerospace research. Its killer feature for aerospace is differentiable programming — the ability to compute exact gradients through entire simulation codes, enabling gradient-based optimization of complex systems like aircraft trajectories, satellite constellations, and engine cycles. Problems that take MATLAB hours to optimize via finite differences can often be solved in minutes in Julia with automatic differentiation.

Aerospace Applications

Julia excels in computationally demanding aerospace problems where Python is too slow and MATLAB is too expensive or limited:

Trajectory Design and Optimization

Julia's DifferentialEquations.jl library is the most comprehensive ODE/PDE solver ecosystem in any programming language — over 300 solver algorithms with automatic stiffness detection, event handling, and sensitivity analysis. For trajectory design — whether a low-thrust interplanetary transfer, a reentry trajectory optimization, or a missile flyout simulation — Julia solves these differential equations faster than MATLAB and with more solver options than any competitor. MIT's astrodynamics group and several NASA centers have adopted Julia for trajectory optimization research.

Large-Scale Numerical Optimization

JuMP.jl is Julia's mathematical optimization framework, supporting linear, nonlinear, integer, and conic programming. Aerospace design optimization — sizing an aircraft, optimizing a satellite constellation's orbital parameters, or finding the minimum-fuel trajectory — involves complex constrained optimization problems. JuMP provides a modeling language that connects to industrial-strength solvers (Gurobi, CPLEX, IPOPT) with performance that scales to problems with millions of variables.

Uncertainty Quantification

Real aerospace systems face uncertain parameters — atmospheric density varies, manufacturing tolerances introduce structural variation, sensor noise corrupts measurements. Julia's Measurements.jl propagates uncertainties through calculations automatically, and packages like PolyChaos.jl and UncertaintyQuantification.jl enable Monte Carlo simulation and polynomial chaos expansion at speeds that make large-scale UQ feasible for problems where MATLAB would take days.

Differentiable Simulation

Julia's automatic differentiation ecosystem (Zygote.jl, ForwardDiff.jl) can compute exact gradients through entire simulation codes. This enables gradient-based optimization of complex systems — optimizing a wing shape by differentiating through a CFD surrogate model, or training a neural ODE that encodes engine physics while remaining trainable end-to-end. This capability, called "differentiable programming," is extremely difficult to achieve in Python/MATLAB and is driving Julia adoption in cutting-edge aerospace research.

Multibody Dynamics and Control

Packages like RigidBodyDynamics.jl and ModelingToolkit.jl enable efficient modeling of spacecraft attitude dynamics, robotic arm kinematics, and flexible body interactions. For space robotics (satellite servicing, orbital assembly), these tools provide symbolic-numeric simulation that generates optimized code automatically — combining the ease of symbolic modeling with the performance of hand-tuned numerical code.

Getting Started

High School

Julia is accessible to beginners — its syntax is similar to MATLAB and reads like mathematical notation. Download Julia from julialang.org and install the Pluto.jl reactive notebook environment (Julia's answer to Jupyter). Work through the "Introduction to Computational Thinking" course from MIT (free on MIT OpenCourseWare), which teaches Julia through scientific computing examples including climate modeling and image processing. Build a simple orbital mechanics simulation — plot Keplerian orbits, calculate orbital periods, simulate gravitational systems. The MIT course is one of the best introductions to scientific computing available in any language.

Undergraduate

Learn the scientific computing stack: DifferentialEquations.jl for solving ODEs (start with projectile motion with drag, two-body orbital mechanics, spring-mass-damper systems), Plots.jl for visualization, and LinearAlgebra (built into Julia) for matrix operations. Apply Julia to coursework where MATLAB is traditionally used — flight dynamics, orbital mechanics, control systems. Compare Julia and MATLAB solutions side-by-side to appreciate both the syntax similarity and the performance difference. Learn JuMP.jl for optimization problems. If your university doesn't teach Julia, work through it independently — the syntax is close enough to MATLAB that the transition is straightforward.

Advanced / Graduate

At the graduate level, leverage Julia's unique strengths: automatic differentiation through Zygote.jl for gradient-based design optimization, neural ODEs via DiffEqFlux.jl for data-driven dynamical systems modeling, and uncertainty quantification for robust aerospace design. Contribute to the growing Julia aerospace ecosystem — packages like SatelliteToolbox.jl, AstroLib.jl, and Spacecraft.jl welcome contributors. Use Julia for thesis research where computational performance matters: large-scale Monte Carlo campaigns, many-query optimization, or real-time trajectory planning. Present Julia-based research at AIAA conferences to build community connections. While MATLAB remains the industry default, Julia fluency positions you for the computational frontier of aerospace engineering.

Career Connection

RoleHow This Tool Is UsedTypical EmployersSalary Range
Astrodynamics / Trajectory EngineerDesign interplanetary trajectories, optimize orbit transfers, and propagate orbits with high-fidelity perturbation modelsNASA JPL, Aerospace Corp, SpaceX, Blue Origin$90,000–$140,000
Computational Research ScientistDevelop numerical methods for aerospace simulation — CFD solvers, structural dynamics, multiphysics couplingNASA, Sandia National Labs, MIT Lincoln Lab, universities$95,000–$150,000
MDO (Multidisciplinary Design Optimization) EngineerRun large-scale design optimization combining aerodynamics, structures, propulsion, and performance using gradient-based methodsBoeing, Airbus, NASA, Joby Aviation$100,000–$150,000
GNC Algorithm DeveloperPrototype guidance and control algorithms in Julia before C/C++ implementation, leveraging automatic differentiation for optimal controlSpaceX, Northrop Grumman, Raytheon, Anduril$100,000–$155,000
Quantitative Analyst (Aerospace)Build fleet reliability models, lifecycle cost models, and probabilistic risk assessments with uncertainty quantificationAerospace Corp, RAND, defense consultancies, airlines$95,000–$145,000
Verified March 2026