Rendezvous; Circular restricted three-body problem (CR3BP); Near Rectilinear Halo Orbit (NRHO); Coupled orbit-attitude dynamics; Hardware-in-the-loop; Guidance, Navigation and Control (GNC)
Abstract :
[en] Space missions to Near Rectilinear Halo Orbits (NRHOs) in the Earth-Moon system are upcoming. A rendezvous technique in cislunar space is proposed in this investigation, one that leverages coupled orbit and attitude dynamics in the Circular Restricted Three-body Problem (CR3BP). An autonomous Guidance, Navigation, and Control (GNC) technique is demonstrated in which a chaser spacecraft approaches a target spacecraft in a sample southern 9:2 synodic-resonant L2 NRHO, one that currently serves as the baseline for NASA's Gateway. A two-layer guidance and control approach is contemplated. First, a nonlinear optimal controller identifies an appropriate baseline rendezvous path for guidance, both in position and orientation. As the spacecraft progresses along the pre-computed baseline path, navigation is performed through optical sensors that measure the relative pose of the chaser relative to the target. A Kalman filter processes these observations and offers state estimates. A linear controller compensates for any deviations identified from the predetermined rendezvous path. The efficacy of the GNC technique is tested by considering a complex scenario in which the rendezvous operation is conducted with an uncontrolled tumbling target. Hardware-in-the-loop laboratory experiments are conducted as a proof-of-concept to validate the guidance algorithm, with observations supplemented by optical navigation techniques.
Research center :
- Interdisciplinary Centre for Security, Reliability and Trust (SnT) > SpaceR – Space Robotics
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Muralidharan, Vivek ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Space Robotics
Makhdoomi, Mohatashem Reyaz ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Space Robotics
Barad, Kuldeep Rambhai ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Space Robotics
Amaya Mejia, Lina Maria ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Space Robotics
Howell, Kathleen C.; Purdue University - Purdue > School of Aeronautics and Astronautics
Martinez Luna, Carol ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Space Robotics
Olivares Mendez, Miguel Angel ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Space Robotics
External co-authors :
yes
Language :
English
Title :
Rendezvous in cislunar halo orbits: Hardware-in-the-loop simulation with coupled orbit and attitude dynamics
Nathan L. Parrish, Matthew J. Bolliger, Ethan Kayser, Michael R. Thompson, Jeffrey S. Parker, Bradley W. Cheetham, Diane C. Davis, Daniel J. Sweeney, Near rectilinear halo orbit determination with simulated DSN observations, in: AIAA Scitech 2020 Forum, Orlando, Florida, U.S.A., 2020.
Fuller, Sean, Lehnhardt, Emma, Zaid, Christina, Halloran, Kate, Gateway program status and overview. J. Space Saf. Eng. 9:4 (2022), 625–628.
Crusan, Jason, Bleacher, Jacob, Caram, Joe, Craig, Douglas, Goodliff, Kandyce, Herrmann, Nicole, Mahoney, Erin, Smith, Marshall, Nasa's gateway: an update on progress and plans for extending human presence to cislunar space. 2019 IEEE Aerospace Conference, 2019, IEEE, 1–19.
Davide Guzzetti, Kathleen C. Howell, Coupled orbit-attitude dynamics in the three-body problem: A family of orbit-attitude periodic solutions, in: AIAA/AAS Astrodynamics Specialist Conference, San Diego, California, USA, 2014.
Guzzetti, Davide, Howell, Kathleen Connor, Attitude dynamics in the circular restricted three-body problem. Astrodynamics 2:2 (2018), 87–119.
Bucchioni, Giordana, Innocenti, Mario, Rendezvous in cis-lunar space near rectilinear halo orbit: Dynamics and control issues. Aerospace, 8(3), 2021, 68.
Fouad Khoury, Kathleen C. Howell, Orbital rendezvous and spacecraft loitering in the earth-moon system, in: AAS/AIAA Astrodynamics Specialist Conference, Lake Tahoe, California, USA, 2020.
Muralidharan, Vivek, Luna, Carol Martinez, Zinys, Augustinas, Klimavicius, Marius, Mendez, Miguel Angel Olivares, Autonomous control for satellite rendezvous in near-earth orbits. International Conference on Control, Automation and Diagnosis (ICCAD’22), 2022, IEEE, Lisbon, Portugal.
Vivek Muralidharan, Avishai Weiss, Uros V. Kalabic, Control Strategy for Long-Term Station-Keeping on Near-Rectilinear Halo Orbits, in: 30th AIAA/AAS Space Flight Mechanics Meeting, Orlando, FL, USA, 2020.
Colagrossi, Andrea, Pesce, Vincenzo, Bucci, Lorenzo, Colombi, Francesco, Lavagna, Michèle, Guidance, navigation and control for 6dof rendezvous in cislunar multi-body environment. Aerosp. Sci. Technol., 114, 2021, 106751.
Stéphanie Lizy-Destrez, Rendez vous optimization with an inhabited space station at eml2, in: Proceedings of 25th International Symposium on Space Flight Dynamics ISSFD 2015, Munich, Germany, 2015, pp. 1–17.
Naomi Murakami, Satoshi Ueda, Toshinori Ikenaga, Maki Maeda, Toru Yamamoto, Hitoshi Ikeda, Practical rendezvous scenario for transportation missions to cis-lunar station in earth-moon L2 halo orbit, in: Proceedings of the 25th International Symposium on Space Flight Dynamics, ISSFD, Munich, Germany, 2015.
Sato, Yuki, Kitamura, Kenji, Shima, Takeya, Spacecraft rendezvous utilizing invariant manifolds for a halo orbit. Trans. Japan Soc. Aeronaut. Space Sci. 58:5 (2015), 261–269.
Lian, Yijun, Meng, Yunhe, Tang, Guojian, Liu, Luhua, Constant-thrust glideslope guidance algorithm for time-fixed rendezvous in real halo orbit. Acta Astronaut. 79 (2012), 241–252.
Blazquez, Emmanuel, Beauregard, Laurent, Lizy-Destrez, Stéphanie, Ankersen, Finn, Capolupo, Francesco, Rendezvous design in a cislunar near rectilinear halo orbit. Aeronaut. J. 124:1276 (2020), 821–837.
Muralidharan, Vivek, Makhdoomi, Mohatashem Reyaz, Barad, Kuldeep Rambhai, Mejia, Lina Maria Amaya, Howell, Kathleen C., Luna, Carol Martinez, Mendez, Miguel Angel Olivares, Hardware-in-the-loop proximity operations in cislunar space. Proceedings of the International Astronautical Congress, 2022.
Colombi, Francesco, Characterization of Relative 6DOF Natural and Controlled Dynamics in Cislunar Space. (Master's thesis), 2019, Politecnico di Milano.
Sun, Dianqi, Hu, Liang, Duan, Huixian, Pei, Haodong, Relative pose estimation of non-cooperative space targets using a tof camera. Remote Sens., 14(23), 2022, 6100.
Vela, Claudio, Fasano, Giancarmine, Opromolla, Roberto, Pose determination of passively cooperative spacecraft in close proximity using a monocular camera and aruco markers. Acta Astronaut. 201 (2022), 22–38.
Du, Xiaodong, Liang, Bin, Xu, Wenfu, Qiu, Yue, Pose measurement of large non-cooperative satellite based on collaborative cameras. Acta Astronaut. 68:11–12 (2011), 2047–2065.
Bondy, Michel, Krishnasamy, Rubakumar, Crymble, Derry, Jasiobedzki, Piotr, Space vision marker system (svms). AIAA SPACE 2007 Conference & Exposition, 2007, 6185.
Pasqualetto Cassinis, L., Menicucci, Alessandra, Gill, Eberhard, Ahrns, Ingo, Fernandez, J. Gil, On-ground validation of a cnn-based monocular pose estimation system for uncooperative spacecraft. 8th European Conference on Space Debris, Vol. 8, 2021.
Benninghoff, Heike, Rems, Florian, Risse, Eicke-Alexander, Mietner, Christian, European proximity operations simulator 2.0 (epos)-a robotic-based rendezvous and docking simulator. J. Large-Scale Res. Facil. (JLSRF), 2017.
Park, Tae Ha, Bosse, Juergen, D'Amico, Simone, Robotic testbed for rendezvous and optical navigation: Multi-source calibration and machine learning use cases. 2021 arXiv preprint arXiv:2108.05529.
Heike Benninghoff, Toralf Boge, Tristan Tzschichholz, Hardware-in-the-loop rendezvous simulation involving an autonomous guidance, navigation and control system, in: IAA Conference on Dynamics and Control of Space Systems, Porto, Portugal, 2012.
Muralidharan, Vivek, Stretching Directions in Cislunar Space: Stationkeeping and an Application to Transfer Trajectory Design. (Ph.D. thesis), 2021, Purdue University.
Szebehely, Victor, Theory of Orbits: The Restricted Problem of Three Bodies: Technical report., 1967, Yale University, New Haven, Connecticut, USA.
Muralidharan, Vivek, Howell, Kathleen C., Leveraging stretching directions for stationkeeping in earth-moon halo orbits. Adv. Space Res. 69:1 (2022), 620–646.
Du, Chongrui, Starinova, Olga L., Liu, Ya, Low-thrust transfer dynamics and control between halo orbits in the earth-moon system by means of invariant manifold. IEEE Trans. Aerosp. Electron. Syst., 2022.
Zimovan-Spreen, Emily M., Howell, Kathleen C., Davis, Diane C., Near rectilinear halo orbits and nearby higher-period dynamical structures: orbital stability and resonance properties. Celestial Mech. Dynam. Astronom., 132(5), 2020, 28.
Muralidharan, Vivek, Howell, Kathleen C., Stretching directions in cislunar space: Applications for departures and transfer design. Astrodynamics 7:2 (2023), 153–178.
Wertz, James R., Bell, Robert, Autonomous rendezvous and docking technologies: status and prospects. Space Syst. Technol. Oper. 5088 (2003), 20–30.
Giovanni Franzini, Mario Innocenti, Relative motion equations in the local-vertical local-horizon frame for rendezvous in lunar orbits, in: AAS/AIAA Astrodynamics Specialist Conference, Stevenson, WA, USA, 2017.
Andersson, Joel A.E., Gillis, Joris, Horn, Greg, Rawlings, James B., Diehl, Moritz, CasADi – A software framework for nonlinear optimization and optimal control. Math. Program. Comput. 11:1 (2019), 1–36.
Cassinis, Lorenzo Pasqualetto, Fonod, Robert, Gill, Eberhard, Review of the robustness and applicability of monocular pose estimation systems for relative navigation with an uncooperative spacecraft. Prog. Aerosp. Sci., 110, 2019, 100548.
Opromolla, Roberto, Fasano, Giancarmine, Rufino, Giancarlo, Grassi, Michele, A review of cooperative and uncooperative spacecraft pose determination techniques for close-proximity operations. Prog. Aerosp. Sci. 93 (2017), 53–72.
Garrido-Jurado, Sergio, Muñoz-Salinas, Rafael, Madrid-Cuevas, Francisco José, Marín-Jiménez, Manuel Jesús, Automatic generation and detection of highly reliable fiducial markers under occlusion. Pattern Recognit. 47:6 (2014), 2280–2292.
Romero Ramírez, Francisco J., Muñoz-Salinas, Rafael, Carnicer, Rafael Medina, Speeded up detection of squared fiducial markers. Image Vis. Comput. 76 (2018), 38–47.
Garrido-Jurado, Sergio, Muñoz-Salinas, Rafael, Madrid-Cuevas, Francisco José, Carnicer, Rafael Medina, Generation of fiducial marker dictionaries using mixed integer linear programming. Pattern Recognit. 51 (2016), 481–491.
Schweighofer, G., Pinz, A., Robust pose estimation from a planar target. IEEE Trans. Pattern Anal. Mach. Intell. 28:12 (2006), 2024–2030.
Lepetit, Vincent, Moreno-Noguer, Francesc, Fua, Pascal, Epnp: An accurate o(n) solution to the pnp problem. Int. J. Comput. Vis. 81 (2009), 155–166.
Fischler, M., Bolles, R., Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography. Commun. Assoc. Comput. Mach. (ACM) 24:6 (1981), 381–395.
Vaidyanathan, Sundarapandian, Volos, Christos, Advances and Applications in Nonlinear Control Systems, Vol. 635. 2016, Springer.
Stengel, R.F., Optimal Control and Estimation. 1994, Courier Corporation.
Muralidharan, Vivek, Weiss, Avishai, Kalabic, Uros, Tracking neighboring quasi-satellite orbits around phobos. World Congress of the International Federation of Automatic Control, IFAC, 2020, Elsevier, Berlin, Germany, 14906–14911.
Makhdoomi, Mohatashem Reyaz, Muralidharan, Vivek, Barad, Kuldeep R., Sandoval, Juan, Olivares-Mendez, Miguel, Martinez, Carol, Emulating on-orbit interactions using forward dynamics based cartesian motion. 2022 arXiv preprint arXiv:2209.15406.
Robert Pritchett, Kathleen C. Howell, David C. Folta, Low-thrust trajectory design for a cislunar cubesat leveraging structures from the bicircular restricted four-body problem, in: International Astronautical Congress, Washington D.C., USA, 2019.