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At least 1,153 records · Page 64

A Monte Carlo Approach to Measuring Trajectory Performance Subject to Missed Thrust

A spacecraft using solar electric propulsion (SEP) to reach its destination must operate its thrusters for very long periods of time compared to one using chemical propulsion. Some spacecraft may be required to thrust almost the entire duration of the transfer to reach their target. A side-effect of this characteristic of SEP missions is that a spacecraft could be subject to an anomaly or fault that forces it to stop thrusting when it should be, causing it to drift away from its nominal trajectory. A diagram of this situation is shownin Figure 1. Because these shut-down events (commonly referred to as safe mode or safing events), are not uncommon and can be caused by uncontrollable external factors (such as a cosmic ray striking an electronic component), the spacecraft and trajectory should be designed such that the spacecraft can continue on to its destination in a reasonable time and propellant expenditure once operations resume.

Laipert, Frank E.↗

Multi-Impulse to Time Optimal Finite Burn Trajectory Conversion

A novel conversion algorithm is presented that combines the fidelity of indirect optimization methods with the generality of direct methods to more easily solve time-optimal, finite-burn pseudo-rendezvous problems. An algorithm is described that converts a set of multiple-impulses, representing the entirety or a portion of a high- or low-thrust maneuver, to an exact time optimal finite-burn trajectory for a thrust limited, constant exhaust velocity spacecraft. A pseudo-rendezvous problem is one that yields a solution whose final time, position and velocity state is equal to that of the original post-impulsive trajectory. An iterative adjoint-control transformation is used to initialize the optimal control two-point boundary value problem. Examples are shown for both high and low-thrust non-coplanar Earth orbit transfers, as well as a low-thrust Hohmann-type Earth-Mars transfer.

Fogel, J.↗

Parallelization of a Six Degree of Freedom Entry Vehicle Trajectory Simulation Using OpenMP and OpenACC

The art and science of writing parallelized software, using methods such as Open Multi-Processing (OpenMP) and Open Accelerators (OpenACC), is dominated by computer scientists. Engineers and non-computer scientists looking to apply these techniques to their project applications face a steep learning curve, especially when looking to adapt their original single threaded software to run multi-threaded on graphics processing units (GPUs). There are significant changes in mindset that must occur; such as how to manage memory, the organization of instructions, and the use of if statements (also known as branching). The purpose of this work is twofold: 1) to demonstrate the applicability of parallelized coding methodologies, OpenMP and OpenACC, to tasks outside of the typical large scale matrix mathematics; and 2) to discuss, from an engineer’s perspective, the lessons learned from parallelizing software using these computer science techniques. This work applies OpenMP, on both multi-core central processing units (CPUs) and Intel® Xeon Phi™ 7210, and OpenACC on GPUs. These parallelization techniques are used to tackle the simulation of thousands of entry vehicle trajectories through the integration of six degree of freedom (DoF) equations of motion (EoM). The forces and moments acting on the entry vehicle, and used by the EoM, are estimated using multiple models of varying levels of complexity. Several benchmark comparisons are made on the execution of six DoF trajectory simulation: single thread Intel® Xeon® E5-2670 CPU, multi-thread CPU using OpenMP, multi-thread Xeon Phi™ 7210 using OpenMP, and multi-thread NVIDIA® Tesla® K40 GPU using OpenACC. These benchmarks are run on the Pleiades Supercomputer Cluster at the National Aeronautics and Space Administration (NASA) Ames Research Center (ARC), and a Xeon Phi™ 7210 node at NASA Langley Research Center (LaRC).

Green, Justin S.↗

Mars InSight Entry, Descent, and Landing Trajectory and Atmosphere Reconstruction

The InSight mission landed on the surface of Mars on November 26th, 2018. The InSight system performance met all design requirements, although several performance metrics fell near the boundaries of the predictions. The peak deceleration was high, the overall timeline was short, and the landing site was uprange and crossrange from the target. This paper describes the reconstruction of the entry, descent, and landing trajectory and atmosphere. The approach utilizes a Kalman filter to blend sensor data to obtain the vehicle trajectory. The aerodynamic database is used in combination with the sensed accelerations to obtain estimates of the atmosphere-relative state, which in turn is used to derive the free-stream atmospheric conditions during entry, until the time of parachute deployment. The results indicate that the reconstructed atmosphere was approximately 1σbelow the preflight atmosphere. Analysis of the reconstructed vehicle attitude angles indicate that the aerodynamic lift was oriented downward at entry. The vehicle developed a roll rate during entry, which directed a component of the lift to the north. The low density and aerodynamic lift direction are determined to be the primary causes of the high deceleration, short timeline, and location of the landing site relative to the target.

Christopher D Karlgaard↗

Mars InSight Entry, Descent, and Landing Trajectory and Atmosphere Reconstruction

The InSight mission landed on the surface of Mars on November 26th, 2018. The InSight system performance met all design requirements, although several performance metrics fell near the boundaries of the predictions. The peak deceleration was high, the overall timeline was short, and the landing site was uprange and crossrange from the target. This paper describes the reconstruction of the entry, descent, and landing trajectory and atmosphere. The approach utilizes a Kalman filter to blend sensor data to obtain the vehicle trajectory. The aerodynamic database is used in combination with the sensed accelerations to obtain estimates of the atmosphere-relative state, which in turn is used to derive the free-stream atmospheric conditions during entry, until the time of parachute deployment. The results indicate that the reconstructed atmosphere was approximately 1σbelow the preflight atmosphere. Analysis of the reconstructed vehicle attitude angles indicate that the aerodynamic lift was oriented downward at entry. The vehicle developed a roll rate during entry, which directed a component of the lift to the north. The low density and aerodynamic lift direction are determined to be the primary causes of the high deceleration, short timeline, and location of the landing site relative to the target.

Christopher D Karlgaard↗

Demonstrating the Early Adopter Benefits of Submitting Multiple Trajectory Options for Airlines

Integrated Demand Management (IDM), is a NASA developed Traffic Flow Management (TFM) concept that uses Collaborative Trajectory Options Program (CTOP) to precondition traffic flows into the Time Based Flow Management (TBFM) region, helping traffic planners manage imbalances between demand and capacity in the National Airspace (NAS). A workshop held at NASA was conducted to demonstrate how individual airlines can be impacted by using Trajectory Options Sets (TOS) during IDM operations. A primary concern that was specifically addressed in a part-task Human-in-the-Loop simulation was who received the greater benefit, TOS participating or non-TOS participating airlines? The results showed that TOS participating airlines received greater benefit in terms of ground delay, number of reroute options, and additional flight time, than non-TOS participating airlines. However, this result was dependent on the number and location of flights. Therefore, it was advantageous for airlines to equip TOS. In addition, we found that non-TOS participating airlines also benefitted from other airlines participating in TOS, because the total system-wide ground delay was reduced as more TOS were introduced into the system. The evidence suggests that the benefits were distributed fairly, and there were no unfair disadvantages for airlines who did not equip TOS.

Integrated Demand Management↗

Space Launch System Departure Trajectory Analysis for Cislunar and Deep-Space Exploration

The Space Launch System will insert Orion into different orbits for Artemis I and Artemis II. The Artemis program has considerations beyond the immediate mission of inserting Orion into its desired trajectory. Primarily, following separation from Orion, the Interim Cryogenic Propulsion Stage must be safely dis-posed, and another is that secondary payloads will be deployed only after Orion separation to ensure safety of the primary mission. The first consideration (ICPS disposal) constrains the latter (secondary payload trajectories). In this paper, we give an overview of the constraints and opportunities provided by Artemis missions for secondary payloads within the Earth-Moon system and beyond.

Andrew F Heaton↗

Reducing the Noise Impact of Small Aircraft through Indirect Trajectory Optimization

This research examined the feasibility of incorporating an acoustic metric into the optimization of an aircraft trajectory to reduce the noise experienced by an observer. The method investigated a perturbed path of an unmanned aerial system with specified boundary conditions on position and velocity while maintaining a nominal flight speed. An acoustic model based on Gutin’s work was developed to estimate propeller noise as a function of flight parameters, propulsion characteristics, and spatial location. A trajectory was then optimized a priori to reduce the noise experienced by an observer. Multiple simulations were performed and results showed that integrating an acoustic metric into the path planning process could be used to reduce the noise impact on an observer with no perturbation to the nominal flight speed.

Matthew B Galles↗

Trajectory Specification for Terminal Airspace

Trajectory Specification is a method of unambiguously specifying a trajectory to be flown by an aircraft. It has been applied in a fast-time simulation to the terminal airspace serving a major airport.

air traffic control↗

Trajectories leaving a sphere in the restricted 3-body problem

The set of trajectories leaving/impacting the surface of the Galilean satellites of Jupiter is analyzed from theoretical and computational veiwpoints in the ciruclular restricted three body problem in order to characterize the sensitive impact regions for spacecraft trajectory applications as well as the main dynmical structures influencing this set of trajecotries.

Lo, Martin↗

Designing Low-Thrust Enabled Trajectories for a Heliophysics Smallsat Mission to Sun-Earth L5

A small satellite deployed to Sun-Earth L5 could serve as a low-cost platform to observe solar phenomena such as coronal mass ejections. However, the small satellite platform introduces significant challenges in the trajectory design process via limited thrusting capabilities, power and operational constraints, and fixed deployment conditions. To address these challenges, a strategy employing dynamical systems theory is used to design a low-thrust-enabled trajectory for a small satellite to reach the Sun-Earth L5 region. This procedure is demonstrated for a small satellite that launches as a secondary payload with a larger spacecraft destined for a Sun-Earth L2 halo orbit.

Stuart, Jeffrey↗

The Cassini Mission: Reconstructing Thirteen Years of the Most Complex Gravity-Assist Trajectory Flown to Date

Cassini launched in 1997 and completed its prime mission, its Equinox first extended mission, and its Solstice second extended mission. Since its arrival at Saturn in 2004, Cassini completed almost 300 orbits around the planet. Over the span of the mission, significant improvements were made to all the major satellites ephemeris, and to Saturn gravitational and pole models. These improvements have enabled better trajectory reconstructions throughout the timeframe of the mission, although using about one hundred different models of the Saturn system. Now that the mission is over, the paper reports on the uniform reconstruction of the entire Cassini orbital mission, which uses one consistent Saturn system model and satellite ephemerides throughout. We discuss the challenges of undertaking this task, and comparison strategies for choosing the best and greatest Cassini trajectory for its very final delivery.

Wagner, Sean↗

Europa Lander Trajectory Design Using Lissajous Staging Orbits

Lissajous orbits and approximation of their invariant manifolds are used to generate landing trajectories to the surface of Europa. Each lissajous is discretized into individual revolutions that each resemble a periodic orbit. The unstable manifolds of each individual revolution propagated forward in time generate more surface coverage than manifolds of simple libration point orbits such as halo or Lyapunov orbits. The stable manifolds propagated backwards in time from the individual lissajous revolutions provide direct connections to the last phase of a moon tour. The strategy developed produces ballistic landing trajectories with a wide surface coverage, and allows for the decoupling of the landing and moon tour phase by using the lissajous as an intermediate staging orbit. The multiple revolutions of the lissajous, multiple departure times along each revolution, multiple quasi periodic options at each energy, and multiple energies of the lissajous family provide many degrees of freedom in the design process.

McElarth, Timothy P.↗

Hybrid chemical-electric trajectories for a Mars Sample Return orbiter

The Earth return orbiter component of a Mars sample return campaign is a high total impulse mission with challenging timeline constraints. These competing demands mean a hybrid chemical-electric propulsion architecture may be needed for a feasible design, with chemical propulsion providing timely impulse and electric propulsion providing high volume impulse. We describe an approach to map out the hybrid trajectory design space and create a database to use in conjunction with a spacecraft design tool, enabling co-optimization of trajectory and spacecraft. This method is applied to both the outbound and inbound legs of a Mars sample return mission concept.

Lock, Rob↗

Simulaneous optimization of spacecraft and trajectory design for interplanetary missions utilizing solar electric propulsion

A major challenge in formulating interplanetary mission concepts utilizing electric propulsion is the large number of trajectory variables that must be considered (thrust profile, flyby options, launch vehicle delivery), all of which are affected by spacecraft design variables (power, mass, thruster, payload, staging). This is significantly more complex than traditional ballistic/chemical mission design and early concepts are often suboptimal as a result, potentially missing valuable options. This paper presents a novel tool (MORT) for simultaneously optimizing the spacecraft design alongside the trajectory given mission constraints and objectives, including example results relevant to the exploration of Mars.

Lock, Rob↗

Trajectory design for small-satellite missions to near-earth objects

This paper describes new techniques for use in designing possible trajectories to near-Earth objects (NEOs) given the constraints imposed by the limited propulsive capabilities of small satellites and by being launched as a secondary with larger spacecraft. It illustrates the use of these techniques with the design of a trajectory that achieves rendezvous with the NEO 2007 UN12.

Sims, Jon A.↗