Spacecraft Radiation Shielding by a Dispersed Array of Superconducting Magnets

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The Space Congress Proceedings 2016 (44th) The Journey: Further Exploration for Universal Opportunities May 26th, 7:30 AM Spacecraft Radiation Shielding by a Dispersed Array of Superconducting Magnets D. L. Chesny National Space Biomedical Research Institute (NSBRI) S. T. Durrance National Space Biomedical Research Institute (NSBRI) G. A. Levin National Space Biomedical Research Institute (NSBRI) Follow this and additional works at: http://commons.erau.edu/space-congress-proceedings Scholarly Commons Citation D. L. Chesny, S. T. Durrance, and G. A. Levin, "Spacecraft Radiation Shielding by a Dispersed Array of Superconducting Magnets" (May 26, 2016). The Space Congress Proceedings. Paper 10. http://commons.erau.edu/space-congress-proceedings/proceedings-2016-44th/presentations-2016/10 This Event is brought to you for free and open access by the Conferences at ERAU Scholarly Commons. It has been accepted for inclusion in The Space Congress Proceedings by an authorized administrator of ERAU Scholarly Commons. For more information, please contact commons@erau.edu.

Spacecraft Radiation Shielding by a Dispersed Array of Superconducting Magnets D. L. Chesny 1,2,3, S. T. Durrance 1, G. A. Levin 1, N. Brice Orange 3 1 Florida Institute of Technology 2 National Space Biomedical Research Institute 3 OrangeWave Innovative Science, LLC

Interplanetary Radiation Environment Galactic Cosmic Rays (GCRs) Isotropic 1 1000 GeV particles protons, H, He, C, O, Ne, Fe Z = 1, 2, 6, 8, 10, 26 Solar Particle Events (SPEs) Uni-directional 1 1000 MeV particles protons, H, He, C, Si, Fe Z = 1, 2, 6, 14, 26

Radiation Threat Equivalent Dose (Sv) Radiation (R) Weighing Factor protons W R = 2 heavy nuclei W R = 20 Radiation Exposure Induced Death (REID) NASA Standard of <3% increase (95% confidence) Mean REID = 3.2% 95% Confidence Level = 10.5% REID Probability = 10.5% Absorbed Dose in Tissue (T) by Radiation (R) Measured in Gray (Gy) 1 Gy is the absorption of 1 J/kg

Previously Proposed Safeguards Superconducting magnets attached directly to spacecraft Shielding efficiencies: 90% for 1 GeV 57% for 2 GeV Kervendal, E., Kirk, D., Meinke, R. (2006) Drawbacks - Screen interior from field - Thermal management - Hinders EVAs - Re-designing Orion Bamford, R. A., et al. (2014)

Magnetic Shielding

New Concept Dispersed Array of Superconducting Magnetic Satellites Exploit the Integral Field Parameter Small vs large deflections

Code Formulation Magnetic Dipole Equation of Motion Throw away regions of divergence z Translation, Rotation, and Superposition x y Plane of Solar System y towards spacecraft

Effective Shields Momentum Maps Limit for small deflections For +y velocity charged particles in a magnetic field How do different magnetic dipole configurations affect particle momenta?

Momentum Map Single Dipole E n = 1 MeV m = πx10 4 A m 2

Momentum Map 4-dipole circle

Shield Optimization 2D Gaussian fits

Superconducting Magnets For m=πx10 4 Am 2 (20 cm radius loop) 5.6 kg High-temperature superconducting wires (YBCO coated conductors) Critical temperature 90 K - operating temperature 40-50 K, maintained using sunshield, similar to JWST, or Solar White coating Magnets operate in persistent mode. A closed loop made out of coated conductor. An assembly of 100 loops.

Protected Volumes Orion Multi-Purpose Crew Vehicle Deep-Space Habitat Sphere of 5 m diameter Cylinder of 5 m diameter and 15 m length

Simulation Single Dipole (m=πx10 4 Am 2 ) Orion Capsule 21 hits 6 hits 8 hits Protected Volume No field E n =1 MeV E n =10 MeV Dipole Location [0, 0, 0]

1x resolution (21 hits) Velocity Errors: 1.000±0.006, 1.000±0.005, 1.001±0.020 E n (MeV) 1 10 30 60 100 150 200 1000 πx10 3 A m 2 61.9 4.8 4.8 4.8 4.8 4.8 4.8 4.8 πx10 4 A m 2 71.4 61.9 47.6 23.8 4.8 4.8 4.8 4.8 πx10 5 A m 2 85.7 71.4 61.9 66.7 61.9 52.4 61.9 4.8 2x resolution (81 no field hits) Velocity Errors: 1.000±0.003, 1.000±0.006, 1.001±0.02 E n (MeV) 1 10 30 60 100 150 200 1000 πx10 3 A m 2 60.5 14.8 7.4 9.9 9.9 9.9 9.9 9.9 πx10 4 A m 2 65.4 60.5 51.9 24.7 14.8 12.3 11.1 9.9 πx10 5 A m 2 71.6 65.4 65.4 64.2 60.5 59.3 58.0 14.8 3x resolution (177 no field hits) Velocity Errors: 1.000±0.002, 1.000±0.006, 1.001±0.02 E n (MeV) 1 10 30 60 100 150 200 1000 πx10 3 A m 2 58.8 10.2 1.7 1.7 0.6 0.6 0.6 0.6 πx10 4 A m 2 66.7 58.8 45.2 22.6 10.2 6.8 5.1 0.6 πx10 5 A m 2 70.1 66.7 63.3 62.1 58.8 55.4 51.4 10.2

Simulation Halbach Array Deep Space Habitat Increased B energy Decreased B energy Above 11 hits E n =10 MeV Halbach 5-dipole location

Simulation Results Halbach Array 1x resolution (75 hits) E n (MeV) 1 10 30 60 100 150 200 1000 πx10 3 A m 2 64.0 5.3 4.0 4.0 4.0 4.0 4.0 4.0 πx10 4 A m 2 85.3 64.0 34.7 17.3 5.3 4.0 4.0 4.0 πx10 5 A m 2 94.6 85.3 77.3 66.7 64.0 50.7 46.7 5.3 Velocity Errors: 1.002±0.020, 1.013±0.032, 1.052±0.078

Robust Simulations Plasma an electrically neutral collection of a large number of positively and negatively charged particles For accurate description of shields, we must account for BOTH ions and electrons

Particle-in-cell Method Ion charge density (C m -3 ) Ion electric potential (V)

Particle-in-cell Method

From Idea to Mission Increase Technology Readiness Level (TRL) - Superconductors in Space - Technology Demonstration - On-board Control in Deep-space

Increase TRL NASA Space Radiation Laboratory Digital Beam Imager PIC prediction

Superconductors in Space Cryogenic Select Surfaces Reflects 99.9% solar irradiance Transmits long infrared radiation from interior Result: Cryogenic temperatures below 50K

Technology Demonstration Nanoracks CubeSat deployment South Atlantic Anomaly 0.04 10 MeV inner Van Allen Belt particles

On-board, Deep-space Control Heliospheric current sheet

GCR Defense For an isotropic distribution in a magnetic field, a first-order perturbation gives Evenly spherical distribution of dipoles Create isotropic distribution

20-pt Buckyball Simulation - Arbitrary number of particles per injection - Arbitrarily narrow beam Sphere of isotropic distribution Protected Volume

GCR Deflection Code validation run

Robust Simulations Approximate GCRs with random distribution of input particles CosΘ 0, 1 Φ 0, 2π

Results 6-Halbach cage 20-dipole cage

Thank You Percent reductions in SPE radiation show feasibility Existing technology shows viability

Equivalent Dose Jiggens, P., et al. (2014)

Enabling Technology Consider 12 mm wide and 50 m thick (no stabilizer) coated conductor. Critical current at 77 K is 300 A. Lift factor at 50 K in 2 T field is about 2. Then the critical current at 50 K is about 600 A. We can take persistent current to be 50% of the critical. Then, the engineering current density of persistent current is approximately J = 50 ka/cm2 Consider a loop of 20 cm radius creating a dipole moment d= x10 ^4 Am^2. This required current of 250 ka or 5 cm^2 cross-section of the loop.

Enabling Technology Mass density of Hastelloy (the substrate) is about 9 g/cm^3. The total volume of a torus 20 cm in radius and 5 cm^2 cross-section is 630 cm^3. The mass of the superconducting material then is 5.6 kg. For greater or smaller dipole of the same size the mass is scaled proportionally. Increasing the size of the loop decreases the required current and the amount of the superconducting material inversely proportional to the radius. These estimates do not take into account the support structure, power supply, electronics, sunscreen, etc.