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Dynamical Systems

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Volume 20, 2005 - Issue 1: Special issue on mechanics and space mission design Edited by Michael Dellnitz and Jerrold E. Marsden

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Original Articles

Natural and non-natural spacecraft formations near the L₁ and L₂ libration points in the Sun–Earth/Moon ephemeris system

K. C. HowellCorrespondence[email protected]

B. G. Marchand

Pages 149-173 | Received 02 Mar 2004, Accepted 01 Apr 2004, Published online: 01 Oct 2010

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https://doi.org/10.1080/1468936042000298224

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Ethan R. Burnett & Hanspeter Schaub. (2022) Spacecraft Relative Motion Dynamics and Control Using Fundamental Modal Solution Constants. Journal of Guidance, Control, and Dynamics 45:10, pages 1786-1799.
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Mai Bando, Hamidreza Namati, Yuki Akiyama & Shinji Hokamoto. (2022) Formation flying along libration point orbits using chattering attenuation sliding mode control. Frontiers in Space Technologies 3.
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Purnanand Elango, Stefano Di Cairano, Uros Kalabic & Avishai Weiss. (2022) Local Eigenmotion Control for Near Rectilinear Halo Orbits. Local Eigenmotion Control for Near Rectilinear Halo Orbits.

Yuki Kayama, Mai Bando & Shinji Hokamoto. (2022) Sparse Optimal Trajectory Design in Three-Body Problem. The Journal of the Astronautical Sciences 69:3, pages 829-856.
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Xingyu Zhou, Yu Cheng, Dong Qiao & Zhuoxi Huo. (2022) An adaptive surrogate model-based fast planning for swarm safe migration along halo orbit. Acta Astronautica 194, pages 309-322.
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Yijun Lian, Zhuoxi Huo & Yu Cheng. (2021) On the dynamics and control of the Sun—Earth L2 tetrahedral formation. Astrodynamics 5:4, pages 331-346.
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Yu Cheng, Christian Circi & Yijun Lian. (2021) Hamiltonian Structure-Based Formation Flight Control Along Low-Energy Transfer Trajectory. Journal of Guidance, Control, and Dynamics 44:3, pages 522-536.
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Donna Jennings & Henry Pernicka. (2020) Numerical Determination of Natural Spacecraft Formations Near the Collinear Libration Points. Numerical Determination of Natural Spacecraft Formations Near the Collinear Libration Points.

A.G. Gondal, P. Galchenko, S.N. Balakrishnan, H. Pernicka & T. Yucelen. (2019) ETNAC Design Enabling Formation Flight at Liberation Points. ETNAC Design Enabling Formation Flight at Liberation Points.

Xiaoyu Fu & Ming Xu. (2019) Formation Flying Along Low-Energy Lunar Transfer Trajectory Using Hamiltonian-Structure-Preserving Control. Journal of Guidance, Control, and Dynamics 42:3, pages 650-661.
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Hao Peng & Xiaoli Bai. (2018) Natural deep space satellite constellation in the Earth-Moon elliptic system. Acta Astronautica 153, pages 240-258.
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Tong Luo, Ming Xu & Yunfeng Dong. (2018) Natural formation flying on quasi-halo orbits in the photogravitational circular restricted three-body problem. Acta Astronautica 149, pages 35-46.
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Ming Xu, Yuying Liang & Xiaoyu Fu. (2017) Formation flying on quasi-halo orbits in restricted Sun?Earth/Moon system. Aerospace Science and Technology 67, pages 118-125.
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Davide Guzzetti, Natasha Bosanac, Amanda Haapala, Kathleen C. Howell & David C. Folta. (2016) Rapid trajectory design in the Earth–Moon ephemeris system via an interactive catalog of periodic and quasi-periodic orbits. Acta Astronautica 126, pages 439-455.
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Ming Xu, Yuying Liang & Kewei Ren. (2016) Survey on advances in orbital dynamics and control for libration point orbits. Progress in Aerospace Sciences 82, pages 24-35.
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Mingwu Li, Haijun Peng & Wanxie Zhong. (2015) Optimal control of loose spacecraft formations near libration points with collision avoidance. Nonlinear Dynamics 83:4, pages 2241-2261.
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Keisuke Nagata, Noboru Sakamoto & Yuuta Habaguchi. (2015) Center manifold method for the orbit design of the restricted three body problem. Center manifold method for the orbit design of the restricted three body problem.

F.J.T. Salazar, O.C. Winter, E.E. Macau, J.J. Masdemont & G. Gómez. (2015) Zero drift regions and control strategies to keep satellite in formation around triangular libration point in the restricted Sun–Earth–Moon scenario. Advances in Space Research 56:7, pages 1502-1518.
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Rui Qi & ShiJie Xu. (2015) Optimal Low-Thrust Transfers to Lunar L1 Halo Orbit Using Variable Specific Impulse Engine. Journal of Aerospace Engineering 28:4.
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F.J.T. Salazar, O.C. Winter, E.E. Macau, J.J. Masdemont & G. G?mez. (2015) Natural formations at the Earth?Moon triangular point in perturbed restricted problems. Advances in Space Research 56:1, pages 144-162.
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Emmanuele Battista, Simone Dell?Agnello, Giampiero Esposito & Jules Simo. (2015) Quantum effects on Lagrangian points and displaced periodic orbits in the Earth-Moon system. Physical Review D 91:8.
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Kourosh Darvish, Seid H. Pourtakdoust & Nima Assadian. (2015) Linear and nonlinear control strategies for formation and station keeping of spacecrafts within the context of the three body problem. Aerospace Science and Technology 42, pages 12-24.
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Edoardo Serpelloni, Manfredi Maggiore & Christopher J. Damaren. (2015) Control of Spacecraft Formations Around the Libration Points Using Electric Motors with One Bit of Resolution. The Journal of the Astronautical Sciences 61:4, pages 367-390.
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Rui Qi, ShiJie Xu & Tong Chen. (2014) Control of orientation for spacecraft formations in the vicinity of the Sun-Earth L2 libration point. Science China Physics, Mechanics & Astronomy 57:9, pages 1778-1787.
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Edoardo Serpelloni, Manfredi Maggiore & Chris J. Damaren. (2014) Rigid Spacecraft Formations Actuated by Electric Thrusters with One-Bit Resolution. Rigid Spacecraft Formations Actuated by Electric Thrusters with One-Bit Resolution.

Shengping Gong, Junfeng Li & Jules Simo. (2014) Orbital Motions of a Solar Sail Around the L2 Earth–Moon Libration Point. Journal of Guidance, Control, and Dynamics 37:4, pages 1349-1356.
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Jules Simo & Colin R. McInnes. (2014) Feedback stabilization of displaced periodic orbits: Application to binary asteroids. Acta Astronautica 96, pages 106-115.
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A. H?eritier & K. Howell. (2012) Regions Near the Libration Points Suitable to Maintain Multiple Spacecraft. Regions Near the Libration Points Suitable to Maintain Multiple Spacecraft.

David C. Folta, Mark Woodard, Kathleen Howell, Chris Patterson & Wayne Schlei. (2012) Applications of multi-body dynamical environments: The ARTEMIS transfer trajectory design. Acta Astronautica 73, pages 237-249.
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Rui Qi, Shijie Xu & Ming Xu. (2012) Impulsive Control for Formation Flight About Libration Points. Journal of Guidance, Control, and Dynamics 35:2, pages 484-496.
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YunHe Meng, YueDong Zhang & JinHai Dai. (2011) Floquet-based design and control approach to spacecraft formation flying in libration point orbits. Science China Technological Sciences 54:3, pages 758-766.
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Jules Simo & Colin R. McInnes. (2010) Designing Displaced Lunar Orbits Using Low-Thrust Propulsion. Journal of Guidance, Control, and Dynamics 33:1, pages 259-265.
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Jules Simo & Colin R. McInnes. (2009) Asymptotic Analysis of Displaced Lunar Orbits. Journal of Guidance, Control, and Dynamics 32:5, pages 1666-1671.
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Shengping GONG, Junfeng LI & Hexi BAOYIN. (2009) Relative Motion around Artificial Lagrange Points. TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 51:174, pages 220-226.
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Shengping GONG, Hexi BAOYIN & Junfeng LI. (2009) Multi-Satellite Reconfiguration of Formation around Libration Point. TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 51:174, pages 213-219.
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Belinda Marchand & Stuart Stanton. (2008) Actuator Constrained Optimal Control of Formations Near the Libration Points. Actuator Constrained Optimal Control of Formations Near the Libration Points.

Belinda G. Marchand, Kathleen C. Howell & Roby S. Wilson. (2007) Improved Corrections Process for Constrained Trajectory Design in the n-Body Problem. Journal of Spacecraft and Rockets 44:4, pages 884-897.
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Shengping Gong, Junfeng Li, Hexi Baoyin & Yunfeng Gao. (2007) Formation reconfiguration in restricted three body problem. Acta Mechanica Sinica 23:3, pages 321-328.
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Kathryn A. Catlin & Craig A. McLaughlin. (2007) Earth-Moon Triangular Libration Point Spacecraft Formations. Journal of Spacecraft and Rockets 44:3, pages 660-670.
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B. G. Marchand & K. C. Howell. (2005) Control Strategies for Formation Flight In the Vicinity of the Libration Points. Journal of Guidance, Control, and Dynamics 28:6, pages 1210-1219.
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Natural and non-natural spacecraft formations near the L₁ and L₂ libration points in the Sun–Earth/Moon ephemeris system

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Natural and non-natural spacecraft formations near the L1 and L2 libration points in the Sun–Earth/Moon ephemeris system

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Natural and non-natural spacecraft formations near the L₁ and L₂ libration points in the Sun–Earth/Moon ephemeris system