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The Q-law is a Lyapunov feedback control law for effecting low-thrust orbit transfers between arbitrary pairs of orbits around a central body, provided the eccentricity remains below unity.
Upon arrival at the asteroid Vesta, scheduled for July of 2011, the Dawn spacecraft will target a series of four distinct mapping orbits, each providing a unique opportunity to observe Vesta. The unknown, and potentially complex, Vesta gravity field presents challenges for designing low-thrust transfers between these mapping orbits while maintaining spacecraft safety from Vesta occultation of the Sun. This paper provides a description of the orbit transfers designed for Vesta operations along with a discussion of the constraints and methods used to design these transfers. The effect of alternate gravity fields on the viability of the designs and the design method is also considered
A significant body of work exists showing that providing a nonlinear programming (NLP) solver with expressions for the problem constraint gradient substantially increases the speed of program execution and can also improve the robustness of convergence, especially for local optimizers. Calculation of these derivatives is often accomplished through the computation of spacecraft's state transition matrix (STM). If the two-body gravitational model is employed as is often done in the context of preliminary design, closed form expressions for these derivatives may be provided. If a high fidelity dynamics model, that might include perturbing forces such as the gravitational effect from multiple third bodies and solar radiation pressure is used then these STM's must be computed numerically. We present a method for the power hardward model and a full ephemeris model. An adaptive-step embedded eight order Dormand-Prince numerical integrator is discussed and a method for the computation of the time of flight derivatives in this framework is presented. The use of these numerically calculated derivatieves offer a substantial improvement over finite differencing in the context of a global optimizer. Specifically the inclusion of these STM's into the low thrust missiondesign tool chain in use at NASA Goddard Spaceflight Center allows for an increased preliminary mission design cadence.
The optimization of low-thrust trajectories is tightly coupled with the spacecraft hardware. Trading trajectory characteristics with system parameters ton identify viable solutions and determine mission sensitivities across discrete hardware configurations is labor intensive. Local independent optimization runs can sample the design space, but a global exploration that resolves the relationships between the system variables across multiple objectives enables a full mapping of the optimal solution space. A multi-objective, hybrid optimal control algorithm is formulated using a multi-objective genetic algorithm as an outer loop systems optimizer around a global trajectory optimizer. The coupled problem is solved simultaneously to generate Pareto-optimal solutions in a single execution. The automated approach is demonstrated on two boulder return missions.
Preliminary design of low-thrust interplanetary missions is a highly complex process. The mission designer must choose discrete parameters such as the number of flybys, the bodies at which those flybys are performed, and in some cases the final destination. In addition, a time-history of control variables must be chosen that defines the trajectory. There are often many thousands, if not millions, of possible trajectories to be evaluated. The customer who commissions a trajectory design is not usually interested in a point solution, but rather the exploration of the trade space of trajectories between several different objective functions. This can be a very expensive process in terms of the number of human analyst hours required. An automated approach is therefore very desirable. This work presents such an approach by posing the mission design problem as a multi-objective hybrid optimal control problem. The method is demonstrated on a hypothetical mission to the main asteroid belt.
An application of the new optimization alorithm called Static/Dynamic Control (SDC) to design low-thrust escape and capture trajectories is presented.
Several methods for determining the characteristics of low-thrust transfers around minor planets are examined and compared.
An application of the new optimization algorithm called Static/Dynamic Control (SDC) to the design of low-thrust interplanetary trajectories is presented.
An application of the new optimization algorithm Static/Dynamic Control (SDC) to the design of low-thrust interplanetary trajectories is presented. The interplanetary trajectory is integrated with a multi-body force model and may include gravity assists.
A direct optimization method intended to be used primarily for preliminary design of low-thrust interplanetary trajectories, including those with multiple gravity assists, is presented.
A direct optimization method based on differential inclusion concepts has been developed and used to compute low thrust trajectories. This new formulation removes explicit control dependence from the problem statement thereby reducing the dimension of the parameter space of the resulting nonlinear programming problem. A simple example of a two-dimensional gravity-free trajectory involving a maximum velocity transfer to a rectilinear path is discussed. Three interplanetary trajectory examples, an Earth-Mars constant specific impulse transfer, and Earth-Jupiter constant specific impulse transfer, and an Earth-Venus-Mars variable specific impulse gravity assist, are also included. An analysis of the technique's performance is provided.
The Deep Space-1 (DS-1) mission to be launched in 1998 will use an autonomous navigation system to guide the spacecraft on a low thrust trajectory to flybys of an asteriod and a comet.
Over the past several years, deep space exploration missions which use low-thrust propulsion to accomplish mission goals have been gaining renewed interest.
A preliminary design of the Cassini Thrust Vector Control algorithm which controls the spacecraft attitude during main engine burns is described. The discussion includes software architecture, sensor/actuator characteristics, and vehicle dynamics, as well as controller design and margin analysis via clasical methods, and performance evaluation via simulation.
Nozzles with internal mixers and external plugs are candidates for supersonic aircraft concepts. A fundamental experimental investigation is being conducted at NASA Glenn Research Center (GRC) to assess the optimum performance of external plugs. The focus is on noise reduction potential during landing and takeoff (LTO) operation of the aircraft while maintaining optimum thrust performance. Earlier results on flow field and noise of plug nozzles were presented in the 2022 AIAA Aeroacoustics Meeting [1]; see also [2] for a review of the plug nozzle literature.
To understand practical implications of implementing transfers that leverage multibody dynamics, a statistical analysis is performed on an Earth-Moon Near Rectilinear Halo Orbit (NRHO) to distant retrograde orbit (DRO) transfer using solar electric propulsion. The statistical analysis includes perturbations due to maneu- ver execution and orbit determination error to understand operational character- istics of the transfer such as statistical ∆V and statistical state targeting errors at the final DRO. We explore the need for low-thrust trajectory correction maneuver (TCM) opportunities as well as the delivery accuracy to the final target. Finally, we explore options for long-term-stable target DROs.
Historical manufacturing methods for liquid propulsion combustion chambers have relied on series of tube-walls or slotted channel walls (subsequently brazed or plated) for regenerative cooling paths. Large-scale additive manufacturing techniques offer strong potential to minimize manufacturing lead times and cost for developing liquid propulsion chambers, while maintaining performance metrics of traditionally manufactured hardware. The benefits expand beyond traditional combustion chambers to lesser considered nuclear thermal propulsion chambers where radiation energizes the singular incoming propellant stream instead of an exothermic chemical reaction. While each subset of liquid propulsion chambers reaps similar benefit, the geometric challenges in each design can vary substantially. This manuscript discusses the challenges of large contraction ratio propulsion chambers, bimetallic liners and closeout jackets, and material selection when considering laser powder directed energy deposition. LP-DED presently offers build volumes unattainable by L-PBF systems, required for large diameter thrust chambers. LP-DED typically has faster deposition time and is capable of overhang angles without support material (due to the ability to tilt the build plate and minimize the actual build angle). These benefits come at the cost of feature resolution. Designers and manufacturers should consider the effects of thick-wall features printed parallel to the primary surface versus perpendicular due to distortion. Thick-wall and thin-wall features printed in the same plane can substantially increase build time. Where large-scale L-PBF overlaps in size, there may be limited benefit in the quantity of powder required for the build due to the low capture rate of LP-DED and a case-by-case examination is required.
NASA has committed to returning to the moon, landing the first woman and the next man on its surface. To support a sustained lunar presence, NASA will assemble an orbital platform in a quasi-stable orbit near the moon known as a Near Rectilinear Halo Orbit (NRHO). This platform, known as Gateway, will support long duration exploration missions targeting the lunar south pole. An architecture simplification implemented in 2020 combined the first two elements of the Gateway together onto a single commercial launch vehicle (CLV). When launched, the Power and Propulsion Element (PPE) and the Habitation and Logistics Outpost (HALO) will form the initial capability of NASA’s Gateway. The PPE, with its high-power Solar Electric Propulsion (SEP) system, will propel the combined vehicle from an elliptical Earth parking orbit to the target NRHO. A transit of such a large mass, delivered to the moon from a single launch vehicle, is only made possible using the highly efficient SEP system. Delivering the same mass via more traditional chemical propulsion systems would require major modifications to the mission architecture, significantly more propellant mass, and could necessitate the use of a more powerful launch vehicle. This paper describes the design of the nominal low-thrust transit by which Gateway will be delivered to the NRHO utilizing the PPE SEP system. Additionally, this paper captures how the unique capabilities of the PPE electric propulsion system have guided the design of the trajectory and how mission requirements have, in turn, impacted the maturation of the SEP system.