State-Transition Matrix for Satellite Relative Motion in the Presence of Gravitational Perturbations

Journal of Guidance Control and Dynamics ◽

10.2514/1.g004133 ◽

2019 ◽

Vol 42 (7) ◽

pp. 1441-1457

Author(s):

Bharat Mahajan ◽

Srinivas R. Vadali ◽

Kyle T. Alfriend

Keyword(s):

Relative Motion ◽

Transition Matrix ◽

State Transition ◽

State Transition Matrix ◽

Gravitational Perturbations ◽

Satellite Relative Motion

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State transition matrix of relative motion for the non-circular orbit. Relation with partial-derivative matrix in the satellite coordinate system

57th International Astronautical Congress ◽

10.2514/6.iac-06-c1.6.08 ◽

2006 ◽

Author(s):

Andrey I. Nazarenko

Keyword(s):

Coordinate System ◽

Relative Motion ◽

Partial Derivative ◽

Circular Orbit ◽

Transition Matrix ◽

State Transition ◽

State Transition Matrix ◽

Derivative Matrix

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New State Transition Matrix for Relative Motion on an Arbitrary Keplerian Orbit

Journal of Guidance Control and Dynamics ◽

10.2514/1.g002723 ◽

2017 ◽

Vol 40 (11) ◽

pp. 2917-2927 ◽

Author(s):

Zhaohui Dang

Keyword(s):

Relative Motion ◽

Transition Matrix ◽

State Transition ◽

State Transition Matrix ◽

Keplerian Orbit

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State Transition Matrix of Relative Motion for the Perturbed Noncircular Reference Orbit

Journal of Guidance Control and Dynamics ◽

10.2514/2.6924 ◽

2003 ◽

Vol 26 (6) ◽

pp. 956-971 ◽

Author(s):

Dong-Woo Gim ◽

Kyle T. Alfriend

Keyword(s):

Relative Motion ◽

Transition Matrix ◽

State Transition ◽

State Transition Matrix ◽

Reference Orbit

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New State Transition Matrix for Relative Motion on an Arbitrary Elliptical Orbit

Journal of Guidance Control and Dynamics ◽

10.2514/2.4875 ◽

2002 ◽

Vol 25 (1) ◽

pp. 60-66 ◽

Author(s):

Koji Yamanaka ◽

Finn Ankersen

Keyword(s):

Relative Motion ◽

Transition Matrix ◽

State Transition ◽

State Transition Matrix ◽

Elliptical Orbit

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Series expansion-based state transition matrix for relative motion on eccentric orbits

Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering ◽

10.1177/0954410013482059 ◽

2013 ◽

Vol 228 (6) ◽

pp. 869-879

Author(s):

Yafei Li ◽

Xiangdong Liu

Keyword(s):

Series Expansion ◽

Relative Motion ◽

Transition Matrix ◽

State Transition ◽

State Transition Matrix ◽

Eccentric Orbits

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C-W State Transition Matrix for LVLH Relative Motion

Applied Cartesian Tensors for Aerospace Simulations ◽

10.2514/5.9781600861567.0195.0196 ◽

2006 ◽

pp. 195-196

Keyword(s):

Relative Motion ◽

Transition Matrix ◽

State Transition ◽

State Transition Matrix ◽

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Electromagnetic characterization of strong-coupled Omega-type bianisotropic metamaterials using the state transition matrix method

Waves in Random and Complex Media ◽

10.1080/17455030.2021.1950946 ◽

2021 ◽

pp. 1-19

Author(s):

Ugur Cem Hasar ◽

Gokhan Ozturk ◽

Mehmet Ertugul ◽

Joaquim José Barroso ◽

Omar M. Ramahi

Keyword(s):

Matrix Method ◽

Transition Matrix ◽

State Transition ◽

The State ◽

State Transition Matrix

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Numerical Algebra Solution: A New Algorithm for the State Transition Matrix

Advances in Space Research ◽

10.1016/j.asr.2017.02.041 ◽

2017 ◽

Vol 60 (12) ◽

pp. 2620-2629 ◽

Author(s):

Wenfeng Nie ◽

Tianhe Xu ◽

Yujun Du ◽

Fan Gao ◽

Guochang Xu

Keyword(s):

Transition Matrix ◽

State Transition ◽

The State ◽

State Transition Matrix ◽

Numerical Algebra

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A time integration algorithm based on the state transition matrix for structures with time varying and nonlinear properties

Computers & Structures ◽

10.1016/s0045-7949(03)00018-x ◽

2003 ◽

Vol 81 (6) ◽

pp. 349-357 ◽

Author(s):

Robert E. Bartels

Keyword(s):

Transition Matrix ◽

State Transition ◽

Time Integration ◽

The State ◽

State Transition Matrix ◽

Time Varying ◽

Integration Algorithm ◽

Nonlinear Properties ◽

Time Integration Algorithm

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Elimination of zero-input limit cycles by bounding the state transition matrix

International Journal of Circuit Theory and Applications ◽

10.1002/cta.4490070111 ◽

1979 ◽

Vol 7 (1) ◽

pp. 97-111 ◽

Author(s):

L. E. Turner ◽

L. T. Bruton

Keyword(s):

Limit Cycles ◽

Transition Matrix ◽

State Transition ◽

The State ◽

State Transition Matrix

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