A Universal Multi-Revolution Lambert Solver

Robust and efficient solver for Lambert’s Problem, supporting all conics (elliptic, parabolic, hyperbolic) and multi-revolution solutions.

This MATLAB Lambert solver implements the algorithm described in the CMDA submission “A Universal Approach For Solving The Multi-Revolution Lambert's Problem.” It solves the two-point boundary value problem across all orbit types—elliptic, parabolic, and hyperbolic. Based on a solver by Dr. James McElreath from Texas A&M University. Validated against Gooding’s method across 100,000+ test cases with tight error tolerances. Between 27-49% faster than Gooding's method.

Citation:

If you use this solver, please cite the accompanying paper.

McElreath, J., Down, I.M. & Majji, M. A universal approach for solving the multi-revolution Lambert’s problem. Celest Mech Dyn Astron 137, 22 (2025). https://doi.org/10.1007/s10569-025-10251-5