Analysis of Linear and Nonlinear Relative Orbit Dynamics for Satellite Formation Flying

Park, Han-Earl; Park, Sang-Young; Lee, Sang-Jin; Choi, Kyu-Hong

doi:10.5140/jass.2009.26.3.317

Cited by 2 publications

(1 citation statement)

References 3 publications

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“…The relative motion between two satellites is described by several mathematical models [3][4][5][6]. The "Hill-Clohessy-Wiltshire model (HCW)" is as a classical approach described by a set of linearized, time-invariant ordinary differential equations.…”

Section: Mathematical Models Of Relative Motion Satellitesmentioning

confidence: 99%

Periodic Solutions of Nonlinear Relative Motion Satellites

et al. 2021

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The relative motion of an outline of the rendezvous problem has been studied by assuming that the chief satellite is in circular symmetric orbits. The legitimacy of perturbation techniques and nonlinear relative motion are investigated. The deputy satellite equations of motion with respect to the fixed references at the center of the chief satellite are nonlinear in the general case. We found the periodic solutions of the linear relative motion satellite and for the nonlinear relative motion satellite using the Lindstedt–Poincaré technique. Comparisons among the analytical solutions of linear and nonlinear motions and the obtained solution by the numerical integration of the explicit Euler method for both motions are investigated. We demonstrate that both analytical and numerical solutions of linear motion are symmetric periodic. However, the solutions of nonlinear motion obtained by the Lindstedt–Poincaré technique are periodic and the numerical solutions obtained by integration by using explicit Euler method are non-periodic. Thus, the Lindstedt–Poincaré technique is recommended for designing the periodic solutions. Furthermore, a comparison between linear and nonlinear analytical solutions of relative motion is investigated graphically.

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Section: Mathematical Models Of Relative Motion Satellitesmentioning

confidence: 99%

Periodic Solutions of Nonlinear Relative Motion Satellites

et al. 2021

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Characteristics of Relative Navigation Algorithms Using Laser Measurements and Laser-GPS Combined Measurements

Kang

Park²,

Son

2018

Journal of Astronomy and Space Sciences

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This paper presents a satellite relative navigation strategy for formation flying, which chooses an appropriate navigation algorithm according to the operating environment. Not only global positioning system (GPS) measurements, but laser measurements can also be utilized to determine the relative positions of satellites. Laser data is used solely or together with GPS measurements. Numerical simulations were conducted to compare the relative navigation algorithm using only laser data and laser data combined with GPS data. If an accurate direction of laser pointing is estimated, the relative position of satellites can be determined using only laser measurements. If not, the combined algorithm has better performance, and is irrelevant to the precision of the relative angle data between two satellites in spherical coordinates. Within 10 km relative distance between satellites, relative navigation using double difference GPS data makes more precise relative position estimation results. If the simulation results are applied to the relative navigation strategy, the proper algorithm can be chosen, and the relative position of satellites can be estimated precisely in changing mission environments.

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Analysis of Linear and Nonlinear Relative Orbit Dynamics for Satellite Formation Flying

Cited by 2 publications

References 3 publications

Periodic Solutions of Nonlinear Relative Motion Satellites

Periodic Solutions of Nonlinear Relative Motion Satellites

Characteristics of Relative Navigation Algorithms Using Laser Measurements and Laser-GPS Combined Measurements

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