What does this research mean for the field?

A pseudo-spectral optimization framework using Legendre-Gauss-Lobatto collocation enables rapid and robust exo-atmospheric trajectory re-optimization for small satellite launch vehicles, achieving 100% convergence under atmospheric dispersions with an average solve time of 1.34 seconds. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To develop an efficient method for optimizing the trajectory of small satellite launch vehicles in varying atmospheric conditions.

May 17, 2026Unmanned Systems

Exo-Atmospheric Trajectory Optimization for Small Satellite Launch Vehicles: A Robust Pseudo-Spectral Approach

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Authors

SKSriram S Kumar HPH. Priyadarshan MSM S Harsha Simha

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Overview

Randomized trial demonstrates efficient trajectory optimization for small satellite launch vehicles, suggesting enhanced orbital insertion accuracy.

Key Points

To develop an efficient method for optimizing the trajectory of small satellite launch vehicles in varying atmospheric conditions.
Utilized a pseudo-spectral optimization framework with Legendre-Gauss-Lobatto collocation to solve nonlinear differential equations.
Employed Broyden’s quasi-Newton method for optimizing pitch steering angle and inter-stage coasting time.
Conducted Monte Carlo analysis with 300 samples under defined dispersions in atmospheric flight parameters.
Achieved 100% success in convergence with terminal errors within the operational threshold of 300 m/s.
Demonstrated sub-kilometer accuracy using 40 collocation points during mesh refinement studies.
Reduced trajectory solve time to an average of 1.34 seconds, enabling quicker launch readiness.

Cite This Study

Kumar et al. (2026) studied this question.

synapsesocial.com/papers/6a095c6d7880e6d24efe29a5 https://doi.org/10.1142/s2301385028500239

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May 17, 2026Unmanned Systems

Exo-Atmospheric Trajectory Optimization for Small Satellite Launch Vehicles: A Robust Pseudo-Spectral Approach

View Full Paper

Ask AI

Bookmark

Authors

SKSriram S Kumar HPH. Priyadarshan MSM S Harsha Simha

Discussion

Member takes

Overview

Randomized trial demonstrates efficient trajectory optimization for small satellite launch vehicles, suggesting enhanced orbital insertion accuracy.

Key Points

To develop an efficient method for optimizing the trajectory of small satellite launch vehicles in varying atmospheric conditions.
Utilized a pseudo-spectral optimization framework with Legendre-Gauss-Lobatto collocation to solve nonlinear differential equations.
Employed Broyden’s quasi-Newton method for optimizing pitch steering angle and inter-stage coasting time.
Conducted Monte Carlo analysis with 300 samples under defined dispersions in atmospheric flight parameters.
Achieved 100% success in convergence with terminal errors within the operational threshold of 300 m/s.
Demonstrated sub-kilometer accuracy using 40 collocation points during mesh refinement studies.
Reduced trajectory solve time to an average of 1.34 seconds, enabling quicker launch readiness.

Cite This Study

Kumar et al. (2026) studied this question.

synapsesocial.com/papers/6a095c6d7880e6d24efe29a5 https://doi.org/10.1142/s2301385028500239

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