[1] 欧阳自远.奔走天地间-欧阳自远科普文选[M]. 北京:科学出版社,2014.
[2] Alvarez LW, Alvarez W, Asaro F, et al. Extraterrestrial cause for the Cretaceous Tertiary extinctions [J]. Science, 1980, 208: 1095-1108.
[3] Chyba, Christopher F, Paul J Thomas,et al.The 1908 Tunguska Explosion: atmospheric disruption of a stony asteroid [J].Nature, 1993, 361(6407): 40-44.
[4] Brown PG.et al.A 500-Kiloton Airburst over chelyabinsk and an enhanced hazard from small impactors [J]. Nature, 2013, 503(7475): 238-41.
[5] Popova, Olga P.et al.Chelyabinsk Airburst, Damage Assessment, Meteorite Recovery, and Characterization [J]. Science, 2013, 342(6162): 1069-73.
[6] http://asteronomy.com/news/2019/07/a large asteroid just zipped between Earth and the Moon.
[7] 吴伟仁, 龚自正, 唐玉华,等.近地小行星撞击风险应对战略研究[J].中国工程科学, 2022, 22(2):140-151.
[8] 龚自正, 李明, 陈川, 等.小行星监测预警、安全防御和资源利用的前沿科学问题及关键技术[J].科学通报, 2020, 65(5): 346-372.
[9] National Near Earth Object Preparedness Strategy and Action Plan, Whitehouse[EB/OL].https://www. whitehouse.gov./wpcontent/uploads,2018-06-15.
[10] http://cneos.jpl.gov/stats/.
[11] 刘林, 季江徽.近地小行星轨道演化的研究[J].天文学报, 2001, 42(1): 75-80.
[12] 胡寿村, 季江徽, 赵玉晖, 等.嫦娥二号飞越小行星试验中图塔蒂斯轨道确定与精度分析[J].中国科学: 技术科学, 2013(5): 506-511.
[13] 陈媛媛, 马月华.近地小行星(10302)1989ML和(4660)Nereus的轨道特征及演化分析[J].天文学报, 2021, 62(5): 29-52.
[14] 刘林, 季江徽, 廖新浩.近地小行星轨道演化的数值研究与辛算法有效性的探讨[J].天文学报, 1998, 39(2): 141-152.
[15] 李明涛, 郑建华, 于锡峥, 等.IPS转移轨道设计技术[J].宇航学报, 2009, 30(1): 10.
[16] 龚胜平, 李俊峰, 宝音贺西, 等.基于不变流形的登月轨道设计[J].应用数学和力学, 2007, 28(2): 8.
[17] 俞辉, 宝音贺西, 李俊峰.双三体系统不变流形拼接成的低成本探月轨道[J].宇航学报, 2007, 3: 6.
[18] 李翔宇, 乔栋, 程潏.三体轨道动力学研究进展[J].力学学报, 2021, 53(5): 1223-1245.
[19] 祁瑞, 徐世杰.椭圆三体问题中的时间周期不变流形[J].空间控制技术与应用, 2013, 39(2): 6-9.
[20] 祁瑞, 徐世杰.限制性四体问题中的时间相关不变流形[J].宇航学报, 2013, 34(8): 1055-1062.
[21] 李俊峰, 宝音贺西.深空探测中的动力学与控制[J].力学与实践, 2007, 29(4): 8.
[22] 钱航, 郑建华, 李明涛, 等.星际探测太阳帆行星和太阳借力轨道全局优化[J].国防科技大学学报, 2016, 38(1): 6.
[23] 刘延杰, 朱圣英, 崔平远.序列凸优化的小天体附着轨迹优化[J].宇航学报, 2018, 29(2): 7.
[24] Li Y, Guan Y, Wei C, et al.Optimal control of ascent trajectory for launch vehicles: A convex approach[J]. IEEE Access, 2019, 7: 186491-186498.
[25] Thompson G.Integrable almost cotangent structures and Legendrian bundles[J].Math.Proc.Camb. Phil.Soc., 1987, 101: 61-78.
[26] Arnold V I, Kozlov V V, Neishtadt A I.Mathematical Aspects of Classical and Celestial Mechanics[M]. Third Edition.Berlin: Springer-Verlag, 2006.
[27] 郭永新, 刘世兴.关于分析力学的基础与展望[J].动力学与控制学报, 2019, 17(5): 391-408.
[28] 郭永新, 罗邵凯, 梅凤翔.非完整系统几何动力学研究进展:Lagrange理论及其它[J].力学进展, 2004, 34(4):477-492.
[29] Abraham R, Marsden J E.Foundations of Mechanics[M].Second Edition.New Jersey: Addison-Wesley Publishing Company Inc., 1978.
[30] Marsden J E, Ratiu T S.Introduction to Mechanics and Symmetry[M].Second Edition.New York: Springer, 1999.
[31] Marsden J E, West M.Discrete mechanics and variational integrators[J].Acta Numerica, 2001, 10: 357-514.
[32] Bloch A M, Baillieul J, Marsden J E, et al. Nonholonomic Mechanics and Control[M].New York: Springer-Verlag, 2003.
[33] 冯康, 秦孟兆.哈密尔顿系统的辛几何算法[M].杭州: 浙江科学技术出版社, 2003.
[34] 冯康.冯康文集(第二卷)[M].北京: 科学出版社, 1993.
[35] Hairer E, Lubich C, Wanner G.Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations[M].Switzerland: Springer, 2002.
[36] Shi D H, Zenkov D V, Bloch A M.Hamel's formalism for infinite-dimensional mechanical systems[J]. Journal of Nonlinear Science, 2017, 27: 241-283.
[37] Shi D H, Zenkov D V, Bloch A M.Hamel's formalism for classical field theories[J].Journal of Nonlinear Science, 2020, 30(1): 1307-1353.
[38] Zenkov D, Leok M, Bloch A M.Hamel's Formalism and Variational Integrators on a Sphere. Proceedings of the 51st IEEE Conference on Decision and Control[C].USA, 2012:7504-7510
[39] 王亮.几何精确梁的Hamel场变分积分子[D].北京: 北京理工大学, 2016.
[40] Chen J, Huang Z H, Tian Q, A multisymplectic Lie algebra variational integrator for flexible multibody dynamics on the special Euclidean group SE (3)[J].Mechanism and Machine Theory, 2022, 174: 104918.
[41] 高山, 史东华, 郭永新.Hamel框架下几何精确梁的离散动量守恒律[J].力学学报, 2021, 53(6): 1712-1719.
[42] An Z P, Shi D H, Zenkov D V.A variational integrator for the Chaplygin-Timoshenko Sleigh[J].Journal of Nonlinear Science, 2020, 30: 1381-1419.
[43] 安志朋.Hamel场变分积分子及其应用[D].北京: 北京理工大学, 2020.
[44] Liu H, Shi D .Optimal control of a mobile robot on sphere.Theoretical and Applied Mechanics Letters, 2019,9(1):27-31
[45] Chirikjian G S.Degenerate diffusions and harmonic analysis on SE (3): a tutorial[C]. Workshop Classic and Stochastic Geometric Mechanics. Springer, Cham, 2015: 77-99.
[46] Scheeres D J.Orbital mechanics about small bodi-es[J]. Acta Astronautica, 2012, 72: 1-14.
[47] Rubincam D P.Radiative spin-up and spin-down of small asteroids[J].Icarus, 2000, 148(1): 2-11.
[48] Scheeres D J.Orbital Motion in Strongly Perturbed Environments: Applications to Asteroid, Comet and Planetary Satellite Orbiters[M].Berlin: Springer-Verlag, 2016.
[49] Werner R A, Scheeres D J.Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia[J].Celestial Mechanics and Dynamical Astronomy, 1996, 65(3): 313-344.
[50] Bolatti D A, de Ruiter A H.Inclusion of non-nonservative forces in geometric integrators with application to orbit-attitude coupling[J].Journal of Guidance, Control, and Dynamics, 2021, 44(7), 1266-1279.
[51] Hall J, Leok M.Spectral variational integrators[J].Numerische Mathematik, 2015, 130(4): 681-740.
[52] 于洋, 宝音贺西.小天体附近的轨道动力学研究综述[J].深空探测学报, 2014, 1(2): 12.
[53] 辛晓生.小行星探测器轨道动力学[D].南京: 南京大学, 2017.
[54] Lippe C E.Optimal Guidance and Control of Spacecraft Swarms in Planetary and Asteroid Orbits[M].Stanford University, 2021.
[55] Porter M A, Cvitanović P.Ground control to Niels Bohr: Exploring outer space with atomic physics[J].Notices of the American Mathematical Society, 2005, 52(9): 1020-1025.
[56] Koon W S, Lo M W, Marsden J E, et al.Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics[J].Chaos: An Interdisciplinary Journal of Nonlinear Science, 2000, 10(2): 427-469.
[57] Marsden J E, Ross S.New methods in celestial mechanics and mission design[J].Bulletin of the American Mathematical Society, 2006, 43(1): 43-73.
[58] Koon W S, Lo M W, Marsden J E, et al.Resonance and capture of Jupiter comets [J] , In: Pretka-Ziomek H, Wnuk E, Seidelmann P K, et al.(eds) Dynamics of Natural and Artificial Celestial Bodies.Springer, Dordrecht[EB/OL].https://doi.org/10.1007/978-94-017-1327-6_3,2001.
[59] Gómez G, Koon W S, Lo M W, et al.Connecting orbits and invariant manifolds in the spatial restricted three-body problem[J].Nonlinearity, 2004, 17(5): 1571-1606.
[60] Todorović N, Wu D, Rosengren A J.The arches of chaos in the solar system[J].Science advances, 2020, 6(48): eabd1313.
[61] Shadden S C, Lekien F, Marsden J E.Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows[J].Physica D: Nonlinear Phenomena, 2005, 212(3-4): 271-304.
[62] Moor A, Ober-Blöbaum S, Marsden J E, Trajectory design combining invariant manifolds with discrete mechanics and optimal control[J].Journal of Guidance, Control, and Dynamics, 2012, 35(5):1707-1525.
[63] Garcia I, How J P.Trajectory optimization for satellite reconfiguration maneuvers with position and attitude constraints[C].Proceedings of the 2005, American Control Conference, 2005.IEEE, 2005: 889-894.
[64] Kim D Y, Woo B, Park S Y, et al.Hybrid optimization for multiple-impulse reconfiguration trajectories of satellite formation flying[J].Advances in Space Research, 2009, 44(11): 1257-1269.
[65] Junge O, Ober-Blobaum S.Optimal reconfiguration of formation flying satellites[C]. Proceedings of the 44th IEEE Conference on Decision and Control.IEEE, 2005: 66-71.
[66] Milam M B, Petit N, Murray R M.Constrained trajectory generation for micro-satellite formation flying[C].AIAA Guidance, Navigation and Control Conference.2001: 328-333.
[67] Park H E, Park S Y, Choi K H.Satellite formation reconfiguration and station-keeping using state-dependent riccati equation technique[J].Aerospace Science and Technology, 2011, 15(6): 440-452.
[68] Sun C, Duan H, Shi Y.Optimal satellite formation reconfiguration based on closed-loop brain storm optimization[J].IEEE Computational Intelligence Magazine, 2013, 8(4): 39-51.
[69] Mahajan B, Vadali S R, Alfriend K T.Analytic solution for satellite relative motion with zonal gravity perturbations[C].Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, Univelt, Inc., San Diego, CA, Advances in the Astronautical Sciences.2016, 156: 3583-3598.
[70] Guffanti T, Amico S D.Linear models for spacecraft relative motion perturbed by solar radiation pressure[J].Journal of Guidance, Control, and Dynamics, 2019, 42(9): 1962-1981.
[71] Gaias G, Lara M, Colombo C.Accurate osculating/mean orbital elements conversions for spaceborne formation flying[C].AIAC18: 18th Australian International Aerospace Congress (2019): HUMS-11th Defence Science and Technology (DST) International Conference on Health and Usage Monitoring (HUMS 2019): ISSFD-27th International Symposium on Space Flight Dynamics (ISSFD). Engineers Australia, Royal Aeronautical Society., 2019: 1171.
[72] Ely T A.Transforming mean and osculating elements using numerical methods[J].The Journal of the Astronautical Sciences, 2015, 62(1): 21-43.
[73] Zhong W, Gurfil P.Mean orbital elements estimation for autonomous satellite guidance and orbit control[J].Journal of Guidance, Control, and Dynamics, 2013, 36(6): 1624-1641.
[74] Efroimsky M.Gauge freedom in orbital mechanics[J].Annals of the New York Academy of Sciences, 2005, 1065(1): 346-374.
[75] Tillerson M, How J P.Advanced guidance algorithms for spacecraft formation-keeping[C].Proceedings of the 2002 American Control Conference (IEEE Cat.No.CH37301). IEEE, 2002, 4: 2830-2835.
[76] Wu B, Poh E K, Wang D, et al.Satellite formation keeping via real-time optimal control and iterative learning control[C].2009 IEEE Aerospace conference.IEEE, 2009: 1-8.
[77] Sparks A.Satellite formation keeping control in the presence of gravity perturbations[C].Proceedings of the 2000 American Control Conference.ACC(IEEE Cat.No.00CH36334). IEEE, 2000, 2: 844-848.
[78] Stansbery D, Cloutier J.Nonlinear control of satellite formation flight[C].AIAA Guidance, Navigation, and Control Conference and Exhibit.2000: 4436.
[79] Xing J, Tang G, Xi X, et al.Satellite formation design and optimal station keeping considering nonlinearity and eccentricity[J].Journal of Guidance, Control, and Dynamics, 2007, 30(5): 1523-1528.K
[80] He D L, Cao X B.Predictive control for satellite formation keeping[J].Journal of Systems Engineering and Electronics, 2008, 19(1): 161-166.
[81] Kang W, Sparks A, Banda S.Multi-satellite formation and reconfiguration[C].Proceedings of the 2000 American Control Conference.ACC (IEEE Cat.No. 00CH36334). IEEE, 2000, 1(6): 379-383.
[82] Koenig A W, D’Amico S.Robust and safe n-spacecraft swarming in perturbed near-circular orbits[J].Journal of Guidance, Control, and Dynamics, 2018, 41(8): 1643-1662.
[83] Yan H, Vadali S, Alfriend K.Formation maintenance and fuel balancing for satellites with implusive control[C].AIAA/AAS Astrodynamics Specialist Conference and Exhibit.2008: 7359.
[84] Zeng G, Hu M, Yao H.Relative orbit estimation and formation keeping control of satellite formations in low earth orbits[J].Acta Astronautica, 2012, 76: 164-175.
[85] Chen H, Sun J, Li K, et al.Autonomous spacecraft swarm formation planning using artificial field based on nonlinear bifurcation dynamics[C].AIAA Guidance, Navigation, and Control Conference. 2017: 1269.
[86] Saaj C M, Lappas V, Gazi V.Spacecraft swarm navigation and control using artificial potential field and sliding mode control[C]. 2006 IEEE international conference on industrial technology, 2006: 2646-2651.
[87] Huang H, Ma G, Lv Y, et al.Optimal spacecraft formation reconfiguration with collision avoidance using particle swarm optimization[J].Information Technology and Control, 2012, 41(2): 143-150.
[88] Zhang S, Duan H.Gaussian pigeon-inspired optimization approach to orbital spacecraft formation reconfiguration[J].Chinese Journal of Aeronautics, 2015, 28(1): 200-205.
[89] Wang J, Zhang J, Wang F, et al.Optimal satellite formation reconfiguration strategy based on relative orbital elements[J].Acta Astronautica, 2012, 76: 99-114.
[90] Chernick M, D’Amico S.New closed-form solutions for optimal impulsive control of spacecraft relative motion[J].Journal of Guidance, Control, and Dynamics, 2018, 41(2): 301-319.
[91] Steindorf L M, D' Amico S, Scharnagl J, et al. Constrained low-thrust satellite formation-flying using relative orbit elements[C].27th AAS/AIAA Space Flight Mechanics Meeting.2017, 160: 3563-3583.
[92] Morgan D, Chung S J, Blackmore L, et al.Swarm-keeping strategies for spacecraft under J2 and atmospheric drag perturbations[J].Journal of Guidance, Control, and Dynamics, 2012, 35(5): 1492-1506.
[93] Burnett E R, Schaub H.Spacecraft formation and orbit control using attitude-dependent solar radiation pressure[C].Proc.11th Int.Workshop Satell.Constellations Formation Flying (IWSCFF). 2019.
[94] Larbi M, Jusko T, Stoll E.Spacecraft formation feedforward control via differential drag using relative orbital elements[C].Proc.11th Int.Workshop Satellite Constellations Formation Flying (IWSCFF). 2019.
[95] Farrag A, Othman S, Mahmoud T, et al.Satellite swarm survey and new conceptual design for Earth observation applications[J].The Egyptian Journal of Remote Sensing and Space Science, 2021, 24(1): 47-54.
[96] Behrendt K, Fodero K.The perfect time: An examination of time-synchronization techniques [J].Publication, Schweitzer Engineering Laboratories, Inc, 2006: 1-18.
