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2 articles for “Spacecraft trajectory”
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How Mathematical Modelling and Optimisation Guide Spacecraft Trajectories
Abstract: Spacecraft trajectory design is fundamentally a mathematical problem involving the prediction, evaluation and optimisation of motion under complex physical constraints. This article explores how mathematical modelling and optimisation are used to determine feasible and efficient trajectories for spacecraft. Beginning with the simplified two-body model, the article introduces the differential equation governing gravitational motion and explains how initial position and velocity determine the subsequent trajectory. It then examines how trajectory design …
Published in Journal of Aerospace Engineering & Technology · Vol. 16, Issue 3, 2026 Read article
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Mathematical Analysis and Stability Analysis of Coupled Orbital–Attitude Dynamics for Autonomous Spacecraft under Perturbative Forces
Abstract: Autonomous spacecraft operating in Earth orbit are subjected to coupled translational and rotational dynamics influenced by gravitational and environmental perturbations. Accurate mathematical characterization of these interactions is essential for trajectory prediction, attitude stabilization, autonomous navigation, and mission reliability. This study develops a nonlinear mathematical framework for coupled orbital–attitude dynamics of an autonomous spacecraft under perturbative forces. The translational dynamics are formulated using the two-body gravitational model augmented by the second …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 15, Issue 2, 2026 Read article