Theoretical and Numerical Studies of Dynamic Scaling of a Six-Degree-of-Freedom Laser Propulsion Vehicle

To estimate the flight reactions of a full-scale vehicle from reduced-scale tests, we constructed a scaling theory for the vehicle size, input energy, moment of inertia, and pulse frequency needed to maintain dynamic equivalence between a laboratory-scale and full-scale launch of a laser propulsion vehicle. The dynamic scaling law for a single pulse was constructed using translational and angular equations of motion. The analytical scaling was confirmed for a single-pulse incident using a fluid-orbit coupling simulator for the interaction between the blast wave and the vehicle. Motion equivalence was maintained for multiple pulses by adjusting the repetition frequency of the pulse incident to correct for the effect of aerodynamic drag during the free flight of the pulse-to-pulse interval. The flight of a full-scale vehicle can be estimated for single- and multiple-pulse operations from the flight data for a small-scale vehicle using the proposed scaling theory, which provides correlations between the characteristics of small-scale and large-scale flight systems. Small-scale tests were shown to be useful in estimating the flight of a full-scale vehicle using dynamic scaling theory.

[1]  C. L. Merkle.  Prediction of the flowfield in laser propulsion devices , 1984 .

[2]  Kimiya Komurasaki,et al.  A preliminary study of pulse-laser powered orbital launcher , 2009 .

[3]  Kazuyoshi Takayama,et al.  LITA ( Laser-driven In-Tube Accelerator) Operation Under Elevated Pressures , 2001 .

[4]  Michael Libeau.  Experimental Measurements of the Laser-Induced Reaction on a Lightcraft Engine , 2003 .

[5]  Leik N. Myrabo,et al.  Off‐Axis and Angular Impulse Measurements on a Lightcraft Engine , 2005 .

[6]  Anthony N. Pirri,et al.  Pulsed laser propulsion , 1981 .

[7]  C. Hirsch,et al.  Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.

[8]  Eleuterio F. Toro,et al.  Numerical Methods for Wave Propagation , 2011 .

[9]  M. Teich,et al.  Fundamentals of Photonics , 1991 .

[10]  Masayuki Takahashi,et al.  Beam Riding Performance of Asymmetrically Propelled Laser Vehicle , 2012 .

[11]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[12]  Leik N. Myrabo,et al.  Laser initiated blast wave for launch vehicle propulsion , 2000 .

[13]  Leik N. Myrabo,et al.  Trajectory Simulations for Laser-Launched Microsatellites Using a 7-DOF Flight Dynamics Model , 2009 .

[14]  G. Simons,et al.  The Fluid Mechanics of Pulsed Laser Propulsion , 1976 .

[15]  Leik N. Myrabo,et al.  Combined Theoretical and Experimental Flight Dynamics Investigation of a Laser Propelled Vehicle , 2002 .

[16]  Antony Jameson,et al.  Lower-upper implicit schemes with multiple grids for the Euler equations , 1987 .

[17]  Masayuki Takahashi,et al.  Supersonic and Stable Flight of Beam Riding Vehicle Using Optimized Multiple Pulses , 2013 .

[18]  Meng-Sing Liou,et al.  A Flux Splitting Scheme with High-Resolution and Robustness for Discontinuities(Proceedings of the 12th NAL Symposium on Aircraft Computational Aerodynamics) , 1994 .

[19]  Hiroaki Satoh,et al.  Minimal generation gap model for GAs considering both exploration and exploitation , 1996 .

[20]  Naofumi Ohnishi,et al.  Beaming Flight of Repetitive-Pulse Powered Vehicle for Satellite Launch , 2014 .

[21]  Masayuki Takahashi,et al.  Fluid-orbit coupling calculation for flight analysis of impulsively driven laser vehicle , 2013 .

[22]  D. Gregory,et al.  Ablative laser propulsion: Specific impulse and thrust derived from force measurements , 2002 .

[23]  Masayuki Takahashi,et al.  6-DOF Flight Dynamics of Laser-Boosted Vehicle Driven by Blast Wave , 2013 .

[24]  Leik N. Myrabo,et al.  Flight and ground tests of a laser-booted vehicle , 1998 .

[25]  Leik N. Myrabo,et al.  Flight Dynamics and Simulation of Laser Propelled Lightcraft , 2007 .

[26]  Masayuki Takahashi,et al.  Performance Analysis of Beam Riding Vehicle with Motion Synchronized Laser Pulse , 2012 .

[27]  Leik N. Myrabo,et al.  Ground and Flight Tests of a Laser Propelled Vehicle , 1998 .

[28]  A. Jameson,et al.  Lower-upper Symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations , 1988 .

[29]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[30]  Leik N. Myrabo,et al.  World record flights of beam-riding rocket lightcraft : Demonstration of 'disruptive' propulsion technology , 2001 .

[31]  Aage Skullestad.  Modeling and control of a gravity gradient stabilised satellite , 1999 .

[32]  Stefan Scharring,et al.  Beam-Riding of a Parabolic Laser Lightcraft , 2011 .

[33]  Akihiro Sasoh,et al.  Laser-Ablative Propulsion Using Polyacetal at Low Ambient Pressures , 2007 .

[34]  Bin Wang,et al.  Internal structure of laser supported detonation waves by two-wavelength Mach–Zehnder interferometer , 2011 .

[35]  Yasuhiko Arakawa,et al.  Nozzle Scale Optimum for the Impulse Generation in a Laser Pulsejet , 2004 .

[36]  Akihiro Sasoh.  In-tube laser propulsion , 2000 .

[37]  Stefan Scharring,et al.  Beam-Riding Analysis of a Parabolic Laser-thermal Thruster , 2011 .

[38]  Daniela Hoffmann,et al.  Stabilization and steering of a parabolic laser thermal thruster with an ignition device , 2009 .

[39]  Akihiro Sasoh,et al.  Blast Wave Formation by Laser‐Sustained Nonequilibrium Plasma in the Laser‐Driven In‐Tube Accelerator Operation , 2006 .

[40]  Shigeru Obayashi,et al.  An approximate LU factorization method for the compressible Navier-Stokes equations , 1986 .

[41]  L Howarth.  Similarity and Dimensional Methods in Mechanics , 1960 .

[42]  Herman Krier,et al.  Two-dimensional model of laser-sustained plasmas in axisymmetric flowfields , 1985 .

[43]  Yosuke Ogino,et al.  Numerical Simulation of Laser‐Driven In‐Tube Accelerator Operation , 2006 .

[44]  Douglas A. Feikema,et al.  Analysis of the Laser Propelled Lightcraft Vehicle , 2000 .

[45]  P. Spalart.  A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[46]  E. Toro.  Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .

[47]  B. Lakshminarayana,et al.  Two-dimensional model of laser-sustained plasmas in axisymmetric flowfields , 1986 .

[48]  Leik N. Myrabo,et al.  Calibration and Validation of a 6‐DOF Laser Propelled Lightcraft Flight Dynamics Model vs. Experimental Data , 2008 .

[49]  Leik N. Myrabo,et al.  Flight Dynamics and Simulation of Laser Propelled Lightcraft , 2007 .

[50]  B. V. Leer,et al.  Towards the Ultimate Conservative Difference Scheme , 1997 .