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Volumn 102, Issue 4, 2008, Pages 355-375

Application of high order expansions of two-point boundary value problems to astrodynamics

Author keywords

Aerocapture; Differential algebra; Halo orbit; Two point boundary value problem

Indexed keywords


EID: 58149488788     PISSN: 09232958     EISSN: 15729478     Source Type: Journal    
DOI: 10.1007/s10569-008-9170-5     Document Type: Article
Times cited : (59)

References (28)
  • 1
    • 58149518771 scopus 로고    scopus 로고
    • Multidisciplinary optimization of aerocapture maneuvers
    • Article ID 248798
    • Armellin, R., Lavagna, M.: Multidisciplinary optimization of aerocapture maneuvers. J. Artif. Evol. Appl. Article ID 248798, 13 pp (2008)
    • (2008) J. Artif. Evol. Appl. , pp. 13
    • Armellin, R.1    Lavagna, M.2
  • 2
    • 33751563469 scopus 로고    scopus 로고
    • A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics
    • R. Armellin F. Topputo 2006 A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics Celest. Mech. Dyn. Astron. 96 289 309
    • (2006) Celest. Mech. Dyn. Astron. , vol.96 , pp. 289-309
    • Armellin, R.1    Topputo, F.2
  • 5
    • 1042266020 scopus 로고
    • The new method of TPSA algebra for the description of beam dynamics to high orders
    • Los Alamos National Laboratory
    • Berz, M.: The new method of TPSA algebra for the description of beam dynamics to high orders. Technical Report AT-6:ATN-86-16, Los Alamos National Laboratory (1986)
    • (1986) Technical Report AT-6:ATN-86-16
    • Berz, M.1
  • 6
    • 0022765296 scopus 로고
    • The method of power series tracking for the mathematical description of beam dynamics
    • M. Berz 1987 The method of power series tracking for the mathematical description of beam dynamics Nucl. Instrum. Methods A258 431
    • (1987) Nucl. Instrum. Methods , vol.258 , pp. 431
    • Berz, M.1
  • 7
    • 0005260746 scopus 로고
    • High-order computation and normal form analysis of repetitive systems
    • M. Berz 1991 High-order computation and normal form analysis of repetitive systems Phys. Part. Accel. AIP 249 456
    • (1991) Phys. Part. Accel. , vol.249 , pp. 456
    • Berz, M.1
  • 8
    • 77954458256 scopus 로고    scopus 로고
    • Differential algebraic techniques
    • Tigner, M., Chao, A. (eds.) World Scientific
    • Berz, M.: Differential algebraic techniques. In: Tigner, M., Chao, A. (eds.) Handbook of Accelerator Physics and Engineering. World Scientific (1999a)
    • (1999) Handbook of Accelerator Physics and Engineering
    • Berz, M.1
  • 10
    • 58149518770 scopus 로고    scopus 로고
    • MSU Report MSUHEP-060803. Michigan State University, East Lansing, MI 48824
    • Berz, M., Makino, K.: COSY INFINITY version 9 reference manual, MSU Report MSUHEP-060803. Michigan State University, East Lansing, MI 48824 (2006)
    • (2006) COSY INFINITY Version 9 Reference Manual
    • Berz, M.1    Makino, K.2
  • 12
    • 33947151477 scopus 로고
    • The aerocapture vehicle mission design concept
    • AIAA paper 79-0893
    • Cruz, M.I.: The aerocapture vehicle mission design concept. In: Joint Propulsion Conference, AIAA paper 79-0893 (1979)
    • (1979) Joint Propulsion Conference
    • Cruz, M.I.1
  • 14
    • 58149506310 scopus 로고    scopus 로고
    • High-order robust guidance of interplanetary trajectories based on differential algebra
    • P. Di Lizia R. Armellin A. Ercoli-Finzi M. Berz 2008 High-order robust guidance of interplanetary trajectories based on differential algebra J. Aerosp. Eng. Sci. Appl. 1 43 57
    • (2008) J. Aerosp. Eng. Sci. Appl. , vol.1 , pp. 43-57
    • Di Lizia, P.1    Armellin, R.2    Ercoli-Finzi, A.3    Berz, M.4
  • 15
    • 0035480140 scopus 로고    scopus 로고
    • The dynamics around the collinear equilibrium points of the RTBP
    • G. Gómez J.M. Mondelo 2001 The dynamics around the collinear equilibrium points of the RTBP Phys. D 157 283 321
    • (2001) Phys. D , vol.157 , pp. 283-321
    • Gómez, G.1    Mondelo, J.M.2
  • 18
    • 3843132880 scopus 로고    scopus 로고
    • Solving relative two-point boundary value problems: Spacecraft formulation flight transfers application
    • V. Guibout D.J. Scheeres 2004 Solving relative two-point boundary value problems: spacecraft formulation flight transfers application J. Guid. Control Dyn. 27 693 704
    • (2004) J. Guid. Control Dyn. , vol.27 , pp. 693-704
    • Guibout, V.1    Scheeres, D.J.2
  • 19
    • 40949092785 scopus 로고    scopus 로고
    • Solving two point boundary value problems using generating functions: Theory and applications to astrodynamics
    • Gurfil, P. (ed.) Modern Astrodynamics
    • Guibout, V., Scheeres, D.J.: Solving two point boundary value problems using generating functions: theory and applications to astrodynamics. In: Gurfil, P. (ed.) Modern Astrodynamics. Elsevier Astrodynamics Series, Academic Press (2006a)
    • (2006) Elsevier Astrodynamics Series, Academic Press
    • Guibout, V.1    Scheeres, D.J.2
  • 20
    • 32544432981 scopus 로고    scopus 로고
    • Spacecraft formation dynamics and design
    • V. Guibout D.J. Scheeres 2006 Spacecraft formation dynamics and design J. Guid. Control Dyn. 29 121 133
    • (2006) J. Guid. Control Dyn. , vol.29 , pp. 121-133
    • Guibout, V.1    Scheeres, D.J.2
  • 21
    • 0000379181 scopus 로고    scopus 로고
    • Dynamics in the center manifold of the collinear points of the restricted three body problem
    • Á. Jorba J. Masdemont 1999 Dynamics in the center manifold of the collinear points of the restricted three body problem Phys. D 132 189 213
    • (1999) Phys. D , vol.132 , pp. 189-213
    • Jorba A.́1    Masdemont, J.2
  • 22
    • 12344253234 scopus 로고    scopus 로고
    • High order expansions of invariant manifolds of libration point orbits with applications to mission design
    • J.J. Masdemont 2005 High order expansions of invariant manifolds of libration point orbits with applications to mission design Dyn. Sys. Ann. Int. J. 20 59 113
    • (2005) Dyn. Sys. Ann. Int. J. , vol.20 , pp. 59-113
    • Masdemont, J.J.1
  • 23
    • 33845503029 scopus 로고    scopus 로고
    • Nonlinear mapping of Gaussian statistics: Theory and application to spacecraft trajectory design
    • R.S. Park D.J. Scheeres 2006 Nonlinear mapping of Gaussian statistics: theory and application to spacecraft trajectory design J. Guid. Control Dyn. 29 1367 1375
    • (2006) J. Guid. Control Dyn. , vol.29 , pp. 1367-1375
    • Park, R.S.1    Scheeres, D.J.2
  • 24
    • 36849056144 scopus 로고    scopus 로고
    • Nonlinear semi-analytic methods for trajectory estimation
    • R.S. Park D.J. Scheeres 2007 Nonlinear semi-analytic methods for trajectory estimation J. Guid. Control Dyn. 30 1668 1676
    • (2007) J. Guid. Control Dyn. , vol.30 , pp. 1668-1676
    • Park, R.S.1    Scheeres, D.J.2
  • 25
    • 0000651597 scopus 로고
    • Analytic construction of periodic orbits about the collinear points
    • D.L. Richardson 1980 Analytic construction of periodic orbits about the collinear points Celest. Mech. 22 241 253
    • (1980) Celest. Mech. , vol.22 , pp. 241-253
    • Richardson, D.L.1
  • 27
    • 0010197598 scopus 로고    scopus 로고
    • The geometry of halo orbits in the circular restricted three body problem
    • Geometry Center, University of Minnesota
    • Thurman, R., Worfolk, P.A.: The geometry of halo orbits in the circular restricted three body problem. Technical Report GCG95, Geometry Center, University of Minnesota (1996)
    • (1996) Technical Report GCG95
    • Thurman, R.1    Worfolk, P.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.