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Open research questions in Spacecraft Dynamics and Control

73 gap statements mined from Spacecraft Dynamics and Control papers in our 4.5M-paper local library, which holds 450 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.

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What the literature leaves open

  • The need to simultaneously determine discrete variables and continuous trajectory parameters. The difficulty of evaluating the performance of optimization algorithms on this challenging benchmark.

    A Single-Objective Mixed-Integer Formulation for Cassini2 Space Mission Trajectory Optimization (Cassini2-MINLP) · 2026 · DOI

  • The need for efficient optimization methods to solve the complex Cassini2 interplanetary trajectory problem. The lack of a single-objective mixed-integer formulation for this problem.

    A Single-Objective Mixed-Integer Formulation for Cassini2 Space Mission Trajectory Optimization (Cassini2-MINLP) · 2026 · DOI

  • The method needs to handle the curse of dimensionality, which arises from the high dimensionality of the state and control spaces. The paper identifies the challenge of initializing the costates and Lagrange multipliers, which can affect the convergence of the method.

    Pontryagin–Bellman differential dynamic programming for low-thrust trajectory optimization with path constraints · 2026 · DOI

  • Further experimental tests are needed to confirm the results and to apply TDI to different areas of engineering. The development of new mathematical models and computational tools is needed to support the application of TDI.

    Equations of The Theory of Dynamic Interactions: TDI · 2026 · DOI

  • The lack of a law establishing a relationship between orbitation and intrinsic rotation in physics. The need to confirm the formalism of the Newton-Euler equations and to develop a new theory that can explain the relationship between orbitation and intrinsic rotation.

    Equations of The Theory of Dynamic Interactions: TDI · 2026 · DOI

  • Further studies can investigate the effect of departure apogee on other types of Earth--Moon transfers. Future research can explore the application of the study's results to other space missions.

    Effect of Departure Apogee on Δv and Arrival Conditions in Weak-Stability-Boundary Earth--Moon Transfers · 2026 · DOI

  • The need to understand the effect of departure apogee on transfer time and Δv. The lack of studies on the effect of departure apogee on weak-stability-boundary Earth--Moon transfers.

    Effect of Departure Apogee on Δv and Arrival Conditions in Weak-Stability-Boundary Earth--Moon Transfers · 2026 · DOI

  • The paper identifies the need for orbit optimization of LEO electronic reconnaissance constellation.

    An orbit optimization method for low earth orbit electronic reconnaissance constellation · 2026 · DOI

  • The approach is limited to a certain range of orbital parameters. The calculation is performed using a simplified model of the spacecraft motion.

    Optimization of the combined launch profile for placing spacecraft into low-inclination orbits · 2026 · DOI

  • Future research should focus on extending the proposed method to more general types of spacecraft missions. The approach could be applied to other types of orbit transfers, such as lunar or interplanetary missions.

    Optimization of the combined launch profile for placing spacecraft into low-inclination orbits · 2026 · DOI

  • There is a need for reliable power systems on the lunar surface. Prior work has not addressed the challenge of generating power in areas with limited sunlight. The proposed system aims to fill this gap.

    Landed Vehicle-Derived Lunar Polar Power Mast Systems: Close-Fit Exoskeleton Architecture and Vehicle-Core Utility Integration · 2026 · DOI

  • The original CR3BP framework does not account for perturbations from planetary rings and oblateness. There is a need for a more accurate model of orbital stability in complex gravitational environments.

    Linear stability and dynamics in the vicinity of oblate celestial bodies and planetary rings · 2026 · DOI

  • The lack of a technique for achieving low-altitude, ballistic flybys over Saturn's main rings. The need for a method to enable repeated close-range observations of the rings.

    A Gravity-Assist Technique for Ballistic Trajectories Skimming Over Planetary Ring Systems · 2026 · DOI

  • Limited research on selecting the optimal solution from multiple initial orbit solutions. Traditional methods generate multiple solutions, but there is a need for a method to select the optimal solution. The need for a comprehensive framework for selecting optimal initial orbits.

    Selection of optimal initial orbit of Near-Earth asteroids based on multi-criteria integration · 2026 · DOI

  • The force balance and thrust model (Equations 39-42) are developed for constant specific impulse conditions, but self-sustaining propulsion systems may operate with variable exhaust velocity and thrust profiles depending on power source availability. The dynamic interaction between time-varying propellant expulsion velocity and spacecraft acceleration requires further modeling.

    Prototyping of self-sustaining propulsion systems for solar system exploration · 2026 · DOI

  • Traditional superluminal travel theories have astronomical energy demands.

    Curvature Cannon: A Superluminal Interstellar Navigation Theory Based on SIRIC Spatial Elastodynamics — Physical Principles, Mathematical Derivation, and Experimental Verification · 2026 · DOI

  • Generating power in areas with limited sunlight. Withstanding bending moments and torsional loads. Mitigating the effects of lunar dust and thermal cycling.

    Landed Vehicle-Derived Lunar Polar Power Mast Systems: Close-Fit Exoskeleton Architecture and Vehicle-Core Utility Integration · 2026 · DOI

  • This study marked the first use of the re-implementation of PoMiN in the Julia language, which can be found in. Among other advantages, Julia provides the ability to perform algorithmic differentiation of numerical ODE solutions with respect to initial data.

    Aiming for Proxima Centauri b: gravitational effects on relativistic spacecraft trajectories · 2026 · DOI

  • This paper constructs a safe spatiotemporal travel system without superluminal assumptions, centered on geometric topology.

    Safe Spatiotemporal Travel System Based on Geometric Topology Control · 2026 · DOI

  • Further development of the antimatter propulsion system. Investigation of the effects of cosmic radiation and micrometeoroid impacts on the spacecraft. Development of advanced AI autonomy and navigation systems.

    A Conceptual Design for Humanity's First Interstellar Journey to Proxima Centauri: My Proposed Methods and Thoughts · 2026 · DOI

  • Further study of the effects of planetary perturbations on the trajectories. Investigation of the potential for using other gravity assists in the Solar System. Development of more sophisticated models for optimizing thrust direction and gravity assist.

    Energetic feasibility of redirecting trans-Neptunian objects onto Mars-impacting orbits: Continuous thrust and gravity assist trajectories · 2026 · DOI

  • Further study of the effects of oblateness and ring perturbations on orbital stability. Application of the CR3BP-based framework to other planetary systems. Development of more advanced models that account for additional perturbations.

    Linear stability and dynamics in the vicinity of oblate celestial bodies and planetary rings · 2026 · DOI

  • To study the bifurcation structure of other types of orbits in the CR3BP. To apply the numerical framework to other problems in space mission design. To further develop the understanding of the period-tripling bifurcation and its implications for space missions.

    Bifurcations of highly inclined near halo orbits using Moser regularization · 2026 · DOI

  • Further analysis of each criterion's contribution, - Research on the impact of observational precision and phase on the selection…

    Selection of optimal initial orbit of Near-Earth asteroids based on multi-criteria integration · 2026 · DOI

  • The method is validated through simulation scenarios only - The paper does not address the issue of singular arcs in the control torque - The method is limited to a specific type of thruster-pointing…

    Ellipsoidal Thruster Pointing Constrained Optimal Trajectories for Satellite Servicing at SEL2 · 2026 · DOI

Most-cited papers in Spacecraft Dynamics and Control

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Open questions raised by papers listed on this page include: (1) The lack of a single-objective mixed-integer formulation for this problem (“A Single-Objective Mixed-Integer Formulation for Cassini2 Space Mission…”, 2026); (2) Further experimental tests are needed to confirm the results and to apply TDI to different areas of engineering (“Equations of The Theory of Dynamic Interactions: TDI”, 2026); (3) Future research can explore the application of the study's results to other space missions (“Effect of Departure Apogee on Δv and Arrival Conditions in…”, 2026); (4) Future research should focus on extending the proposed method to more general types of spacecraft missions (“Optimization of the combined launch profile for placing spacecraft into…”, 2026); (5) There is a need for reliable power systems on the lunar surface (“Landed Vehicle-Derived Lunar Polar Power Mast Systems: Close-Fit Exoskeleton…”, 2026). 73 gap statements have been mined from Spacecraft Dynamics and Control papers in our 4.5M-paper local library, which holds 450 papers on the topic; the gaps come from whichever of those papers state one. They are mostly the research gaps the authors state and the papers' abstracts, plus future-work, limitations and challenges passages. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one, so you can read the original claim in context.

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