Robert D. Braun’s research while affiliated with Johns Hopkins University and other places

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Publications (238)


A Conceptual Modeling Approach for Performance of Magnetohydrodynamic Drag During Planetary Entry
  • Article

June 2024

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30 Reads

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1 Citation

Journal of Spacecraft and Rockets

Hisham K. Ali

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Robert D. Braun

Future higher-mass Mars missions present numerous engineering challenges and will require significant technological development, particularly of the entry, descent, and landing systems. One such development concept utilizes magnetohydrodynamic interaction with the plasma created during hypersonic planetary entry for energy generation, drag augmentation, and heat-flux mitigation. In this study, a performance estimation methodology for magnetohydrodynamic drag augmentation during Mars entry compatible with conceptual design is developed. A demonstrative investigation utilizing the developed methodology is then conducted, and simulated trajectory results are presented for various entry vehicles and magnetic field strengths. The study results show potential for significant magnetohydrodynamic drag augmentation during hypersonic entry at Mars, with calculated effective ballistic coefficient- reduction factors of up to 4, across entry vehicles ranging in mass from 70 MT to 4 MT. These results show that magnetohydrodynamic drag augmentation can have comparable impact to significant aeroshell diameter increases and also suggest that it could prove an effective form of drag-augmentation control authority by varying the applied magnetic field.


Fig. 1 Aerocapture diagram.
Fig. 2 Guidance predictor density profile with density scale factor: Venus GRAM.
Fig. 3 Density interpolator diagram.
Fig. 4 Density interpolator guidance and profile estimation performance.
Fig. 5 Ensemble correlation filter block diagram.

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Atmospheric Density Estimation Techniques for Aerocapture
  • Article
  • Full-text available

February 2023

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161 Reads

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10 Citations

Journal of Spacecraft and Rockets

Aerocapture is a promising orbit insertion strategy that can reduce propellant mass requirements for planetary orbiters. Reliable aerocapture requires active guidance, navigation, and control systems for robust performance. Such systems rely on accurate models of the downstream density environment for accurate targeting capabilities. Two density profile prediction techniques are introduced that use density histories computed from navigation measurements to improve aerocapture targeting accuracy: the density interpolator and the ensemble correlation filter. The density interpolator stores density data on the descent portion of the vehicle's trajectory, interpolating density values from this array during guidance predictions; whereas the ensemble correlation filter attempts to match density history data to onboard density profiles. A hybrid of the two methods is also considered. Both Earth and Venus are considered as planetary targets. A discrete-event control aerocapture scenario is considered, using Monte Carlo methods to assess the proposed methods' performances and demonstrate improvement in both the apoapsis error and entry corridor width. Density interpolator strategies were shown to perform consistently better than the density scale factor approaches. Ensemble correlation strategies were shown to provide a larger performance benefit potential as compared to interpolator strategies, particularly in cases where density model confidence is high. However, density interpolator strategies were shown to improve performance over a wider range of Monte Carlo simulation conditions.

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Optimal Information Filtering for Robust Aerocapture Trajectory Generation and Guidance

October 2021

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52 Reads

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10 Citations

Journal of Spacecraft and Rockets

Entry flight is a critical mission phase of planetary aeroassist problems. During atmospheric flight, aleatory-epistemic uncertainty and environmental factors reduce the accuracy of predicted future states for precision targeting. This problem has been approached historically with closed-loop guidance rooted in certainty equivalence. This property separates estimation and control problems, allowing each to be considered independently. In other concept studies, an observer model is neglected altogether in favor of assuming perfect state knowledge. However, a flight system will inevitably have imprecise state information and variability in its underlying dynamics and measurement models. Systemic uncertainty is a fundamental limitation of existing entry guidance approaches. This work seeks to overcome these challenges by posing aerocapture as a robust optimization problem. The cost objective of the maneuver is reformulated to account for uncertainty in atmospheric structure, vehicle performance parameters, and state estimation accuracy using an observer-based consider filter. An expected value performance cost is developed from anticipated measurement conditioning effects. A rapid solution methodology is illustrated using explicit integration strategies with a parameterized control structure. Results for a Mars aerocapture concept study show improvement in the postcapture orbit accuracy with low computational overhead.


Optimal Information Filtering for Robust Aerocapture Trajectory Generation and Guidance

October 2021

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12 Reads

Entry flight is a critical mission phase of planetary aeroassist problems. During atmospheric flight, aleatory-epistemic uncertainty and environmental factors reduce the accuracy of predicted future states for precision targeting. This problem has been approached historically with closed-loop guidance rooted in certainty equivalence. This property separates estimation and control problems, allowing each to be considered independently. In other concept studies, an observer model is neglected altogether in favor of assuming perfect state knowledge. However, a flight system will inevitably have imprecise state information and variability in its underlying dynamics and measurement models. Systemic uncertainty is a fundamental limitation of existing entry guidance approaches. This work seeks to overcome these challenges by posing aerocapture as a robust optimization problem. The cost objective of the maneuver is reformulated to account for uncertainty in atmospheric structure, vehicle performance parameters, and state estimation accuracy using an observer-based consider filter. An expected value performance cost is developed from anticipated measurement conditioning effects. A rapid solution methodology is illustrated using explicit integration strategies with a parameterized control structure. Results for a Mars aerocapture concept study show improvement in the postcapture orbit accuracy with low computational overhead.


Flight Mechanics Feasibility Assessment for Co-Delivery of Direct-Entry Probe and Aerocapture Orbiter

September 2021

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40 Reads

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5 Citations

Journal of Spacecraft and Rockets

The co-delivery of a direct-entry probe and an aerocapture orbiter from a single atmospheric entry state is a novel way to include ride-along probes or orbiters on interplanetary missions. This is made possible through combining two technologies: low-cost small satellites and aerocapture. This study investigates the feasibility of this co-delivery method from a flight-mechanics perspective. The availability of direct-entry and aerocapture trajectories from a single entry flight-path angle is assessed for a large range of feasible ballistic coefficients at Earth, Mars, Venus, Titan, and Neptune. Apoapsis altitude, peak heat flux, total heat load, and peak g-load are also quantified across this trade space. A representative scenario implementing closed-loop guidance is presented for a proof of concept, and the trajectory dispersions due to relevant uncertainties are quantified in a Monte Carlo analysis. Passive ballistic impactor or penetrator probes as a secondary mission with a primary lift-modulated aerocapture orbiter is identified as the most promising configuration.


Fig. 1 Diagram of the aerocapture process.
Fig. 2 Conceptual diagram of co-delivery from a single entry state, shown as a close-up view of the region in the dashed-line box in Fig. 1; features exaggerated.
Flight Mechanics Feasibility Assessment for Co-Delivery of Direct-Entry Probe and Aerocapture Orbiter

September 2021

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106 Reads

The co-delivery of a direct-entry probe and an aerocapture orbiter from a single atmospheric entry state is a novel way to include ride-along probes or orbiters on interplanetary missions. This is made possible through combining two technologies: low-cost small satellites and aerocapture. This study investigates the feasibility of this co-delivery method from a flight-mechanics perspective. The availability of direct-entry and aerocapture trajectories from a single entry flight-path angle is assessed for a large range of feasible ballistic coefficients at Earth, Mars, Venus, Titan, and Neptune. Apoapsis altitude, peak heat flux, total heat load, and peak g-load are also quantified across this trade space. A representative scenario implementing closed-loop guidance is presented for a proof of concept, and the trajectory dispersions due to relevant uncertainties are quantified in a Monte Carlo analysis. Passive ballistic impactor or penetrator probes as a secondary mission with a primary lift-modulated aerocapture orbiter is identified as the most promising configuration.


Multi-Event Jettison Guidance Approaches for Drag-Modulation Aerocapture

July 2021

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229 Reads

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5 Citations

Journal of Spacecraft and Rockets

Single-event, drag-modulated aerocapture has become a promising control scheme in the past decade. However, these architectures suffer from exhausted control authority post-jettison. Multiple drag-skirt jettison events have been shown to enhance aerocapture performance, yet still suffer from unidirectional control capabilities. An apoapsis target biasing method is introduced to improve multi-event, drag-modulated aerocapture accuracy and robustness. Entry trade studies and Monte Carlo methods are used for comparison to the state-of-the-art, assessing performance at 400 and 2000 km apoapsis targets and at entry flight path angles of −5.4° and −5.6°. Two ballistic coefficient ratio sets are investigated for both two- and three-stage separation event architectures. A two-stage architecture equipped with the biasing method is shown to be capable of reducing mean apoapsis error to zero, while also showing standard deviation reductions in apoapsis error and circularization Δv by 64.1 and 74.8%, respectively, compared with the state-of-the-art. A biased, three-stage architecture is shown to provide further benefit, reducing apoapsis error standard deviation by 70% relative to an equivalent unbiased architecture and 10.16% relative to a similarly sized two-stage architecture.



A 6-DoF Successive Convexification Powered Descent Guidance Implementation using Modified Rodrigues Parameters

January 2021

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77 Reads

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1 Citation

This paper presents the formulation and demonstration of a 6 degree-of-freedom (DoF) free-final-time guidance algorithm which solves the canonical powered descent guidance (PDG) problem. This formulation can be quickly solved as a series of second order cone program (SOCP) sub-problems making it tractable for online implementation on real-time systems using Interior Point Method (IPM) solvers. Modified Rodrigues Parameters (MRPs) are employed in this paper, which are a minimal attitude formalism derived from quaternions. This reduces the number of optimization variables and constraints that other formalisms may require. The routine can be initialized with a dynamically inconsistent trajectory as the solution is driven to meet the nonlinear dynamics more closely with each iteration. This formulation also includes typical vehicular control, environmental, and mission geometry constraints such as thrust vector gimbal angle constraints, glide-slope constraints, and attitude constraints.


Figure 1: Diagram of the aerocapture process
Figure 2: AeroDrop diagram, shown as a close-up view of the region in the dashed-line box in Fig. 1. Features exaggerated.
Figure 3: Illustration of orbiter-divert scenario with qualitative navigation error and uncertainty growth
AeroDrop: Prospects and Challenges for Co-Delivery of Probe and Orbiter via Aerocapture

AeroDrop is a new way to include ride-along probes or orbiters on interplanetary missions, made possible by the advent of small satellites as secondaries for space science missions combined with the maturation of aerocapture technologies. This mission architecture involves the design of a probe with the aerodynamic characteristics to reach the surface from the same entry state as the mothercraft performing aerocapture – or vice-versa. By eliminating the need for an in-space divert maneuver, AeroDrop lowers the additional risk of these secondary smallsats. This study summarizes the key prospects and challenges for the implementation of AeroDrop, including a feasibility assessment of the flight-mechanics and relevant constraints at Venus, Titan, and Neptune. The study also includes an analysis of relevant past missions and a discussion of the risk reduction by using AeroDrop instead of a propulsive divert maneuver. The most promising AeroDrop configuration is shown to be passive impactor or penetrator probes delivered on a ballistic nominal trajectory as the secondary mission to a primary orbiter delivered by a lift- modulated nominal aerocapture trajectory.


Citations (77)


... If the corridor width is not high enough to cover the full extent of atmospheric uncertainties, then it is recommended to bias the target EFPA towards the steep side to reduce the high risk of overshoot, at the expense of incurring a small risk of undershoot. In addition, on-board density estimation during the descending leg of aerocapture, and using it during the apoapsis prediction phase of the guidance is critical to ensure mission success in atmospheres with very large uncertainties [44,45]. ...

Reference:

Comparative Study of Planetary Atmospheric Uncertainties and Design Rules for Aerocapture Missions
Atmospheric Density Estimation Techniques for Aerocapture

Journal of Spacecraft and Rockets

... A feasible method to estimate the evader's strategy is Kalman filtering. It can use observational data to correct the prediction of the strategy [31]. After establishing the orbital PE game as shown in Eq. (12) ...

Optimal Information Filtering for Robust Aerocapture Trajectory Generation and Guidance
  • Citing Article
  • October 2021

Journal of Spacecraft and Rockets

... However, the Pioneer Venus mission design does not amount to a systematic study of co-delivery trajectory design. Recent work does provide a systematic study of co-delivery trajectories [34], but considers co-delivery of a probe with an orbiter performing aerocapture rather than multiple probes forming a network. ...

Flight Mechanics Feasibility Assessment for Co-Delivery of Direct-Entry Probe and Aerocapture Orbiter
  • Citing Article
  • September 2021

Journal of Spacecraft and Rockets

... Over the past several years, drag modulation has emerged as the preferred control technique over lift modulation for low-cost mission concepts due to its simplicity. Several recent studies have investigated the feasibility and guidance performance for drag-modulation aerocapture at Mars and Venus [14][15][16][17][18]. Several studies have proposed the use of small satellite constellations in low-circular orbits for future missions, but there are no studies investigating the use of aerocapture for planetary constellations. ...

Multi-Event Jettison Guidance Approaches for Drag-Modulation Aerocapture

Journal of Spacecraft and Rockets

... Furthermore, the identified robustness metrics typically describe the degree of sensitivity between design parameters and functional performance. Newer literature shared a similar focus on either building the transfer functions (increasing the accuracy) or optimizing the design based on this (Steinfeldt & Braun 2016;Liu 2017;Wang et al. 2017;Xu et al. 2018). Subsequently, Göhler & Howard (2015) and Göhler, Frey & Howard (2017) proposed a contradiction index, CI , where the complexity of a mechanical product is related to its robustness. ...

Extensibility of a linear rapid robust design methodology
  • Citing Article
  • June 2015

Engineering Optimization

... We chose this algorithm because it is relatively straightforward to implement and a possible starting point for a practicing engineer. This is why a higher-fidelity approach, which may employ successive convexification or additional state and control constraints [31,32], is not implemented here. Also, the goal of the CRQS is to help mature novel algorithms, and this algorithm is topical and relatively novel. ...

A 6-DoF Successive Convexification Powered Descent Guidance Implementation using Modified Rodrigues Parameters
  • Citing Conference Paper
  • January 2021

... Lightweight continuous fiber preforms are used as a better reinforcing phase to synthesize large conformal ablative composites as reported in recent years [19]. Continuous carbon fiber fabric was selected by NASA as the reinforcement of C-PICA because of its low thermal conductivity and thermal expansion, great resistance to thermal vibration, and high mechanical strength [20], overcoming the shortcomings of the short-cut-fiber-based materials [21]. It can be applied in whole blocks of the thermal protection system with a large area, avoiding splicing, stitching, and even strain isolation [22]. ...

Numerical Methodology for the Conceptual Design of Conformal Ablative Heat Shields
  • Citing Article
  • April 2020

Journal of Spacecraft and Rockets

... However, these methods generally require a parametric, low-dimensional representation of uncertainty [12], [13]. Recent studies have explicitly incorporated a probabilistic atmosphere model into UQ approaches [14], [15], [16]; however, these approaches typically assume an exponential form for density and incorporate uncertainty by dispersing the atmospheric scale height and surface density, a method that always results in an exponential profile. The assumption of exponential density significantly limits the ability of the model to capture more complex perturbations due to its inability to capture short-period perturbations or other deviations of the density profile from the idealized exponential shape [17]. ...

Aerocapture Trajectory Design in Uncertain Entry Environments
  • Citing Conference Paper
  • January 2020

... The study recommends continued development of the HEEET TPS particularly tailoring the material layup for the aerothermal conditions encountered at Uranus and Neptune, and more detailed aerothermodynamic studies to estimate the TPS mass fraction for aerocapture at the outer planets. Probe delivery along with aerocapture at the outer planets is a topic of current research [93], and additional studies are required to establish a baseline aerocapture mission architecture with a probe delivery at Uranus and Neptune for a future Flagship-class mission. Other technologies relevant to outer planet aerocapture include autonomous spacecraft navigation, improved flight control techniques and guidance schemes, spacecraft autonomy (automatically determine orbit and perform corrective Table 7 for arrival V ∞ used. ...

Conceptual Development of AeroDrop: Aerocapture and Direct Entry for Two Spacecraft on a Common Approach Trajectory

... The 3D-woven carbon fabric, which serves as the ADEPT thermal protection system, and the structural surface have been tested in arc-jet facilities at over 200 W/cm 2 and 8 kPa [54]. The dynamics of the drag skirt separation event have been studied using both CFD simulations and experimental tests [55]. The experimental ballistic range tests demonstrated clean separation of the drag skirt from the center body for a scaled solid flight model in hypersonic free flight [56]. ...

Analysis of Hypersonic Tip-Off Rates for Venus Aerocapture
  • Citing Conference Paper
  • January 2020