Space Trajectory Computation Lab

Space Trajectory Computation Lab

Aerospace Engineering and Engineering Mechanics

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Journal Articles

See publisher websites for texts and abstracts.  Some of the citations and other details can be found on ResearchGate or GoogleScholar.

  1. Ottesen, D., Russell. R.P., “Unconstrained Direct Optimization of Spacecraft Trajectories Using Many Embedded Lambert Problems,” Journal of Optimization Theory and Applications, 2021, https://doi.org/10.1007/s10957-021-01884-1
  2. McArdle, S., Russell, R.P., “Circulating Eccentric Periodic Orbits at the Moon,” Celestial Mechanics and Dynamics Astronomy, Vol. 133, Article 18, 2021, Special Issue: 50 years of Celestial Mechanics and Dynamical Astronomy, 2019, 18 pages, https://doi.org/10.1007/s10569-021-10013-z
  3. Pellegrini, E.P., Russell, R.P., “A Multiple-Shooting Differential Dynamic Programming Algorithm. Part 1: Theory,” Acta Astronautica, Vol. 170, pp. 686-700, May 2020, https://doi.org/10.1016/j.actaastro.2019.12.037.
  4. Pellegrini, E.P., Russell, R.P., “A Multiple-Shooting Differential Dynamic Programming Algorithm. Part 2: Applications,” Acta Astronautica, Vol. 173, pp. 460-472, Aug. 2020, https://doi.org/10.1016/j.actaastro.2019.12.038.
  5. Russell, R.P., “On the Solution to Every Lambert Problem,” Celestial Mechanics and Dynamical Astronomy, Vol. 131, Article 50, Special Issue: 50 years of Celestial Mechanics and Dynamical Astronomy, 2019, 33 pages, https://doi.org/10.1007/s10569-019-9927-z. https://doi.org/10.5281/zenodo.3479923.
  6. Bokelmann, K., Russell, R.P., “Optimization of Impulsive Europa Capture Trajectories using Primer Vector Theory,” The Journal of the Astronautical Sciences, accepted May 2019, http://link.springer.com/article/10.1007/s40295-018-00146-z
  7. Wittick, P., Russell, R.P., “Mixed-Model Gravity Representations for Small Celestial Bodies Using Mascons and Spherical Harmonics,” Celestial Mechanics and Dynamical Astronomy, 131:31, July, 2019, https://doi.org/10.1007/s10569-019-9904-6.
  8. Biria, A. D. and Russell, R. P., “Analytical Solution to the Vinti Problem in Oblate Spheroidal Equinoctial Orbital Elements,” The Journal of the Astronautical Sciences (2019), https://doi.org/10.1007/s40295-019-00179-y.
  9. Hatten, N., Russell, R.P., “The Eccentric Case of a Fast-Rotating, Gravity-Gradient-Perturbed Satellite Attitude Solution,” Celestial Mechanics and Dynamical Astronomy, Vol. 130, Iss. 11, Article id. 71, 26 pp. DOI: 10.1007/s10569-018-9864-2 https://rdcu.be/9IWb.
  10. Hatten, N., Russell, R.P., “A Semianalytical Technique for Six-Degree-of-Freedom Space Object Propagation,” Journal of Guidance, Control, and Dynamics, Vol. 42, No. 2, Feb. 2019. pp. 217-228, DOI:10.2514/1.G003706.
  11. Hatten, N., Russell, R.P., “Decoupled Direct State Transition Matrix Calculation with Runge-Kutta Methods,” The Journal of the Astronautical Sciences, Vol. 65, Issue 3, pp. 321-354, https://doi.org/10.1007/s40295-018-0131-2, https://rdcu.be/9mdk
  12. Restrepo, R.L., Russell, R.P., “A Database of Planar Axi-Symmetric Periodic Orbits for the Solar System,” Celestial Mechanics and Dynamical Astronomy, Vol. 130, Article 23, https://doi.org/10.1007/s10569-018-9844-6; https://rdcu.be/2SKB
  13. Dei Tos, D. A., Russell, R. P., Topputo, F., “Survey of Mars Ballistic Capture Trajectories Using Periodic Orbits as Generating Mechanisms,” Journal of Guidance, Control, and Dynamics, Vol. 41, No. 6, pp. 1227-1242, https://doi.org/10.2514/1.G003158
  14. Biria, A. D. and Russell, R. P., “A Satellite Relative Motion Model Including J2 and J3 via Vinti’s Intermediary,” Celestial Mechanics and Dynamical Astronomy, Vol. 130, Article 23. doi: 10.1007/s10569-017-9806-4, https://doi.org/10.1007/s10569-017-9806-4; http://rdcu.be/HGId
  15. Biria, A., Russell, R.P., “Equinoctial Elements for Vinti Theory: Generalizations to an Oblate Spheroidal Geometry,” Acta Astronautica, Vol. 153, Dec. 2018, pp. 274-288, https://doi.org/10.1016/j.actaastro.2017.11.013
  16. Vittaldev, V., Russell, R.P., “Space Object Collision Probability via Monte Carlo on the Graphics Processing Unit,” The Journal of the Astronautical Sciences, Vol. 64, No. 3, pp. 285-309, https://doi.org/10.1007/s40295-017-0113-9
  17. Bokelmann, K.A., Russell, R.P., “Halo Orbit to Science Orbit Captures at Planetary Moons,” Acta Asronautica, Vol. 134, May 2017, pp. 141-151, https://doi.org/10.1016/j.actaastro.2017.01.035
  18. Lantoine, G., Russell, R.P., Anderson, R.A., Garrett, H.B., “MAGNETOUR: Surfing Planetary Systems on Electromagnetic and Multi-Body Gravity Fields,” Acta Asronautica, Vol. 138, Sep. 2017, pp. 543-558, http://dx.doi.org/10.1016/j.actaastro.2016.12.014.
  19. Olson, C., Russell, R.P., “Precomputing Process Noise for Onboard Sequential Filters,” Journal of Guidance, Control, and Dynamics, Vol. 40, No. 8 (2017), pp. 2062-2075, https://doi.org/10.2514/1.G002144
  20. Hatten, N., Russell, R.P., “Parallel Implicit Runge-Kutta Methods Applied to Coupled Orbit/Attitude Propagation,” The Journal of the Astronautical Sciences, https://doi.org/10.1007/s40295-016-0103-3 (online first Dec. 2016)
  21. Hatten, N., Russell, R.P., “A Smooth and Robust Harris-Priester Atmospheric Density Model for Low Earth Orbit Applications,” Advances in Space Research, Vol. 59, No. 2, pp.571-586, http://dx.doi.org/10.1016/j.asr.2016.10.015
  22. Restrepo, R.L., Russell, R.P., “Shadow Trajectory Model for Fast Low-Thrust Indirect Optimization,” Journal of Spacecraft and Rockets, Vol. 54, No. 1, Jan-Feb 2017, pp. 44-54, DOI: 10.2514/1.A33611
  23. Vittaldev, V., Linares, R., Russell, R.P., “Spacecraft Uncertainty Propagation Using Gaussian Mixture Models and Polynomial Chaos,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 12, Dec. 2016, pp. 2615-2626, DOI: 10.2514/1.G001571
  24. Pellegrini, E.P., Russell, R.P., “On the Computation and Accuracy of Trajectory State Transition Matrices,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 11, Nov. 2016, pp. 2485-2499, DOI: 10.2514/1.G001920
  25. Russell, R.P., Lantukh, D., Broschart, S., “Heliotropic Orbits with Zonal Gravity and Shadow Perturbations: Application at Bennu,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 9, Sep. 2016, pp 1925-1933, DOI: 10.2514/1.G001279
  26. Vittaldev, V., Russell, R.P., “Space Object Collision Probability using Multidirectional Gaussian Mixture Models,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 9, Sep. 2016, pp 2163-2169, DOI: 10.2514/1.G001610
  27. Arora, N., Russell, R.P., “Efficient Interpolation of High-Fidelity Geopotentials,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 1, pp. 128-143, DOI 10.2514/1.G001291.
  28. Vittaldev, V., Russell, R.P., “Multidirectional Gaussian Mixture Models for Nonlinear Uncertainty Propagation,” Computer Modeling in Engineering & Sciences (CMES), Vol 111, No 1, Jan 2016, pp. 83-117. Accession Number: WOS:000383213700004, ISSN: 1526-1492, eISSN: 1526-1506. http://dx.doi.org/10.3970/cmes.2016.111.083
  29. Olson, C., Russell, R.P., Bhaskaran, S., “Spin State Estimation of Tumbling Small Bodies,” The Journal of the Astronautical Sciences, Vol. 63, No. 2, pp. 124-157, DOI: 10.1007/s40295-015-0080-y.
  30. Olson, C.G., Russell, R.P., Carpenter, J.R., “Small Body Optical Navigation Using The Additive Divided Difference Sigma Point Filter,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 4, April 2016, pp. 922-928. DOI: 10.2514/1.G001160.
  31. Kwon, K., Lantoine, G., Russell, R.P., Mavris, D.N., “Development of a Simultaneous Design Environment for a Hall Effect Thruster and its Low-Thrust Trajectory,” Acta Astronautica, Vol. 119, Feb-Mar 2016, pp. 34-47. doi:10.1016/j.actaastro.2015.11.002.
  32. Arora, N., Russell, R.P., Strange, N., Ottesen, D., “Partial Derivatives of the Solution to the Lambert Boundary Value Problem,” Journal of Guidance, Control, and Dynamics, Vol. 38, No. 9, 2015, pp 1563-1572, DOI: 10.2514/1.G001030.
  33. Arora, N., Vittaldev, V., Russell, R.P., “Parallel Computation of Trajectories Using Graphics Processing Units and Interpolated Gravity Models,” Journal of Guidance, Control, and Dynamics, Vol. 38, No. 8, 2015, pp 1345-1355, DOI: 10.2514/1.G000571.
  34. Biria, A., Russell, R.P., “Periodic Orbits in the Elliptical Relative Motion Problem with Space Surveillance Applications,” Journal of Guidance, Control, and Dynamics, Vol. 38, No. 8, 2015, pp 1452-1467, DOI 10.2514/1.G000622.
  35. Lantukh, D.V., Russell, R.P., Campagnola S., “V-Infinity Leveraging Boundary-Value Problem and Application in Spacecraft Trajectory Design” Journal of Spacecraft and Rockets, Vol. 52, No. 3, 2015, pp 697-710, DOI: 10.2514/1.A32918.
  36. Bradley, N. Russell, R.P., “A Continuation Method For Converting Trajectories From Patched Conics To Full Gravity Models,” The Journal of the Astronautical Sciences, Vol. 61, No. 3., 2014, pp. 227-254, DOI 10.1007/s40295-014-0017-x.
  37. Lantukh, D., Russell, R.P., Broschart, S., “Heliotropic Orbits at Oblate Asteroids: Balancing Solar Radiation Pressure and J2 Perturbations,” Celestial Mechanics and Dynamical Astronomy, 121, No. 2, 2015, pp 171-190, DOI: 10.1007/s10569-014-9596-x.
  38. Hatten, N., Russell, R.P., “Comparison of Three Stark Problem Solution Techniques for the Bounded Case,” Celestial Mechanics and Dynamical Astronomy, Vol. 121, No. 1, 2015, pp 39-60, DOI 10.1007/s10569-014-9586-z.
  39. Schadegg, M.M., Russell, R.P., Lantoine, G., “Jovian Orbit Capture and Eccentricity Reduction Using Electrodynamic Tether Propulsion,” Journal of Spacecraft and Rockets, Vol. 52, No. 2, 2015, pp. 506-516, DOI: http://arc.aiaa.org/doi/abs/10.2514/1.A32962.
  40. Bokelmann, K.A., Russell, R.P., Lantoine, G., “Periodic Orbits and Equilibria Near Jovian Moons using an Electrodynamic Tether,” Journal of Guidance, Control, and Dynamics, Vol. 38, No. 1, 2015, pp. 15-29, DOI: 10.2514/1.G000428.
  41. Pellegrini, E., Russell, R.P., Vittaldev, V., “F and G Taylor Series Solutions to the Stark and Kepler Problems with Sundman Transformations,” Celestial Mechanics and Dynamical Astronomy, Vol. 118, No. 4, 2014, pp 355-378, DOI 10.1007/s10569-014-9538-7.
  42. Campagnola, S., Boutonnet, A., Schoenmaekers, J., Grebow, D.J., Petropoulos, A. E., Russell, R. P., “Tisserand-Leveraging Transfers,” Journal of Guidance, Control, and Dynamics, Vol. 37, No. 4, 2014, 1202-1210, DOI: 10.2514/1.62369.
  43. Dutta, S., Braun, R.D., Russell, R.P., Striepe, S.A., Clark, I.G., “Comparison of Statistical Estimation Techniques for Mars Entry, Descent, and Landing Reconstruction,” Journal of Spacecraft and Rockets, Vol. 50, No. 6, 2013, DOI: 10.2514/1.A32459.
  44. Russell, R. P., Lantoine, G., Optimal Control of Relative Motion in Arbitrary Fields: Application at Deimos, The Journal of the Astronautical Sciences, Vol. 59, Nos. 1 and 2, 2012, pp. 197-219. DOI 10.1007/s40295-013-0013-6.
  45. Walker, M.L.R., Russell, R. P., Singh, L.A., “Utilization of Residual Helium to Extend Satellite Lifetimes and Mitigate Space Debris,” Journal of Propulsion and Power, Vol. 28, No. 6 (2012), pp. 1406-1412, DOI: 10.2514/1.60563.
  46. Dutta, A., Arora, N., Russell, R. P., “A Peer-to-Peer Refueling Strategy using Low Thrust Propulsion,”  Journal of Spacecraft and Rockets,  49, No. 5, 2012, pp. 944-954,   DOI: 10.2514/1.A32106.
  47. Russell, R. P., Arora, N., “Global Point Mascon Models for Simple, Accurate and Parallel Geopotential Computation,” Journal of Guidance, Control, and Dynamics, Vol. 35, No. 5, 2012, pp. 1568-1581, DOI: 10.2514/1.54533.
  48. Campagnola, S., Skerritt, P., Russell, R.P., “Flybys in the Planar, Circular, Restricted, Three-body Problem,” Celestial Mechanics and Dynamical Astronomy, Vol. 113, No.3, 2012, pp. 343-368, DOI 10.1007/s10569-012-9427-x.
  49. Lantoine, G., Russell, R. P., “A Hybrid Differential Dynamic Programming Algorithm for Constrained Optimal Control Problems, Part 1: Theory,” Journal of Optimization Theory and Applications, Vol. 154, No. 2, 2012, pp. 382-417, DOI 10.1007/s10957-012-0039-0.
  50. Lantoine, G., Russell, R. P., “A Hybrid Differential Dynamic Programming Algorithm for Constrained Optimal Control Problems, Part 2: Application,” Journal of Optimization Theory and Applications, Vol. 154, No. 2, 2012, pp. 418-442, DOI, 10.1007/s10957-012-0038-1.
  51. Lantoine, G., Russell, R. P., Dargent, T., “Using Multicomplex Variables for Automatic Computation of High-order Derivatives,” ACM Transactions on Mathematical Software, Vol. 38, No. 3, Article 16, April 2012, 21 pages, DOI = 10.1145/2168773.2168774, http://doi.acm.org/10.1145/2168773.2168774.
  52. Russell, R. P., “Survey of Spacecraft Trajectory Design in Strongly Perturbed Environments,” Journal of Guidance, Control, and Dynamics, Vol. 35, No. 3, 2012, pp. 705-720, doi: 10.2514/1.56813.
  53. Lantoine, G., Russell, R. P., “Near-Ballistic Halo-to-Halo Transfers Between Planetary Moons,” The Journal of the Astronautical Sciences, Vol. 58, No. 3, 2011, pp. 335-363. DOI: 10.1007/BF03321174.
  54. Lantoine, G., Russell, R. P., “Complete, Closed-Form Solutions of the Stark Problem,” Celestial Mechanics and Dynamical Astronomy, Vol. 109, No. 4, 2011, pp. 333-366, DOI 10.1007/s10569-010-9331-1.
  55. Lantoine, G., Russell, R. P., Campagnola, S., “Optimization of Low-Energy Resonant Hopping Transfers between Planetary Moons,” Acta Astronautica, Vol. 68, No. 7-8, 2011, doi:10.1016/j.actaastro.2010.09.021.
  56. Campagnola, S., Strange N.J., Russell, R. P., “A Fast Tour Design Method Using Non-Tangent V-infinity Leveraging Transfers,” Celestial Mechanics and Dynamical Astronomy, Vol. 108, No. 2, 2010, pp. 165-186, DOI 10.1007/s10569-010-9295-1.
  57. Arora, N., Russell, R. P., “A Fast, Accurate, and Smooth Planetary Ephemeris Retrieval System,” Celestial Mechanics and Dynamical Astronomy, Vol. 108, No. 2, 2010, pp. 107-124, DOI 10.1007/s10569-010-9296-0.
  58. Palacián, J.F., Lara, M., Russell, R. P., “Mission design through averaging of perturbed Keplerian systems: the paradigm of an Enceladus orbiter,” Celestial Mechanics and Dynamical Astronomy, Vol. 108, No. 1, 2010, pp. 1-22, doi 10.1007/s10569-010-9286-2.
  59. Campagnola, S., Russell, R. P., “The Endgame Problem Part 1: V-infinity Leveraging Technique and Leveraging Graph,” Journal of Guidance, Control, and Dynamics, Vol. 33, No. 2, 2010, pp. 463-475, DOI 10.2514/1.44258.
  60. Campagnola, S., Russell, R. P., “The Endgame Problem Part 2: Multi-Body Technique and T-P graph,” Journal of Guidance, Control, and Dynamics, Vol. 33, No. 2, 2010, pp. 476-486, DOI 10.2514/1.44290.
  61. Russell, R. P., Lara, M., “On the Design of an Enceladus Science Orbit,” Acta Astronautica, Vol. 65, No. 1-2, 2009, pp. 27-39, doi:10.1016/j.actaastro.2009.01.021.
  62. Russell, R. P., Brinckerhoff, A.T., “Circulating Eccentric Orbits around Planetary Moons,” Journal of Guidance, Control, and Dynamics, Vol. 32, No. 2, 2009, pp. 423-435, DOI 10.2514/1.38593.
  63. Russell, R. P., Strange N.J., “Planetary Moon Cycler Trajectories,” Journal of Guidance, Control, and Dynamics, Vol. 32, No. 1, 2009, pp. 143-157, DOI 10.2514/1.36610.
  64. Lara, M., Russell, R. P., “Fast Design of Repeat Ground Track Orbits in High-Fidelity Geopotentials,” The Journal of the Astronautical Sciences, Vol. 56, No. 3, 2008, pp. 311–324.
  65. Lara, M., Russell, R.P., Villac, B. “Fast estimation of stable regions in real models,” Meccanica, Vol. 42, No. 5, 2007, pp. 511-515,DOI 10.1007/s11012-007-9060-z.
  66. Russell, R. P., Lara, M., “Long-Life Lunar Repeat Ground Track Orbits,” Journal of Guidance, Control, and Dynamics, 30, No. 4, 2007, pp. 982-993.
  67. Russell, R. P., Lam, T., “Designing Ephemeris Capture Trajectories at Europa using Unstable Periodic Orbits,” Journal of Guidance, Control, and Dynamics, Vol. 30, No. 2, 2007, pp. 482-491.
  68. Russell, R. P., “Primer Vector Theory Applied to Global Low-Thrust Trade Studies,” Journal of Guidance, Control, and Dynamics, Vol. 30, No. 2, 2007, pp. 460-472.
  69. Lara, M., Russell, R., Villac, B., “Classification of the Distant Stability Regions at Europa,” Journal of Guidance, Control, and Dynamics, Vol. 30, No. 2, 2007, pp. 409-418.
  70. Lara, M., Russell, R., “Computation of a Science Orbit about Europa,” Journal of Guidance, Control, and Dynamics, Vol. 30, No. 1, 2007, pp. 259-263.
  71. Russell, R. P., “Global Search for Planar and Three-dimensional Periodic Orbits Near Europa,” The Journal of the Astronautical Sciences, 54, No. 2, 2006, pp. 199-226.
  72. Russell, R. P., Ocampo, C. A., “Optimization of a Broad Class of Ephemeris Model Earth–Mars Cyclers,” Journal of Guidance, Control, and Dynamics, Vol. 29, No. 2, 2006, pp. 354-367.
  73. McConaghy, T. T., Russell, R. P., Longuski, J. M., “Towards a Standard Nomenclature for Earth-Mars Cycler Trajectories,” Journal of Spacecraft and Rockets, Vol. 42, No. 4, 2005, pp. 694-698.
  74. Russell, R. P., Ocampo, C. A., “Global Search for Idealized Free-Return Earth-Mars Cyclers,” Journal of Guidance, Control, and Dynamics, Vol. 28, No. 2, 2005, pp. 194-208.
  75. Russell, R. P., Ocampo, C. A., “Geometric Analysis of Free-Return Trajectories Following a Gravity-Assisted Flyby,” Journal of Spacecraft and Rockets, Vol. 42, No. 1, 2005, pp. 138-151.
  76. Russell, R. P., Ocampo, C. A., “Systematic Method for Constructing Earth-Mars Cyclers Using Free-Return Trajectories,” Journal of Guidance, Control, and Dynamics, Vol. 27, No. 3, 2004, pp. 321-335.

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Email: ryan.russell@utexas.edu

Phone: (512) 471-4190

© Ryan P. Russell 2017

Department of Aerospace Engineering and Engineering Mechanics

Cockrell School of Engineering

The University of Texas at Austin

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