Solar Pressure Effects for a Constellation in a Highly Elliptical Orbit

Capó-Lugo, Pedro A.; Bainum, Peter M.

doi:10.2514/1.37484

Cited by 7 publications

(30 citation statements)

References 6 publications

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“…The authors [1] showed various simulations for different reflectivity coefficients and demonstrated that the difference in the reflectivity coefficient will cause a variation in the control effort. For this reason, one of the results in reference [1] will be shown in this section such that it can be compared with the results in section 5.…”

Section: Difference In the Reflectivity Coefficientmentioning

confidence: 99%

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Effects of satellite dimensions in the solar pressure formulation for formation flying

Capó-Lugo

Bainum

2009

Proceedings of the Institution of Mechanical Engineers, Part G:

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In highly elliptical orbits, the solar pressure can perturb the motion of a constellation through the entire orbit because of the longer exposure of the satellites to the Sun. The TschaunerHempel equations for a perturbed motion will be used to explain the motion of a pair of satellites about the Earth in a highly elliptical orbit. In this set of equations, the solar pressure formulation will be written differently to determine how the satellite dimensions can affect the control effort to perform the drift correction. To maintain the separation distance constraints, the authors developed a hierarchical control scheme, in discrete format, that takes care of the perturbation effects of the Earth and the Sun. In summary, this article will show how the differences of the satellite dimensions in the solar pressure formulation can cause variations in the control effort.

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Section: Difference In the Reflectivity Coefficientmentioning

confidence: 99%

“…Knowing that | ρ(t)| << | R(t)|, and R(t) = Rĵ (from the development of the TH equations [1][2][3]), the second and third terms on the left-hand side and the second, third, fifth, and sixth terms on the righthand side of equation (21) …”

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confidence: 99%

Effects of satellite dimensions in the solar pressure formulation for formation flying

Capó-Lugo

Bainum

2009

Proceedings of the Institution of Mechanical Engineers, Part G:

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“…is the solar pressure force defined by the Karmyov theory [1]. The maneuvering spacecraft is assumed to have an applied thrust vector along the reference coordinate system, and the reference spacecraft is initially assumed to be acted on by a Newtonian gravitational force directed toward the center of the Earth.…”

Section: Discrete Tschauner-hempel Equations and Control Systemmentioning

confidence: 99%

“…This set of equations was discretized in the true anomaly angle [1] to be used in a digital steady-state hierarchical controller [2]. This controller [2] performed the drift correction between a pair of satellites within the constellation.…”

Section: Introductionmentioning

confidence: 99%

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Formation flying control implementation for highly elliptical orbits

Capó-Lugo¹,

Bainum²

2011

JAESA

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IntroductionThe Tschauner-Hempel equations are widely used to correct the separation distance drifts between a pair of satellites within a constellation in highly elliptical orbits [1]. This set of equations was discretized in the true anomaly angle [1] to be used in a digital steady-state hierarchical controller [2]. This controller [2] performed the drift correction between a pair of satellites within the constellation. The objective of a discretized system is to develop a simple algorithm to be implemented in the computer onboard the satellite. The main advantage of the discrete systems is that the computational time can be reduced by selecting a suitable sampling interval. For this digital system, the amount of data will depend on the sampling interval in the true anomaly angle [3]. The purpose of this paper is to implement the discrete Tschauner-Hempel equations and the steady-state hierarchical controller in the computer onboard the satellite. This set of equations is expressed in the true anomaly angle in which a relation will be formulated between the time and the true anomaly angle domains.

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Nonlinear dynamics of flexible tethered satellite system subject to space environment

Jin

Wen

2016

Appl. Math. Mech.-Engl. Ed.

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Solar Pressure Effects for a Constellation in a Highly Elliptical Orbit

Cited by 7 publications

References 6 publications

Effects of satellite dimensions in the solar pressure formulation for formation flying

Effects of satellite dimensions in the solar pressure formulation for formation flying

Formation flying control implementation for highly elliptical orbits

Nonlinear dynamics of flexible tethered satellite system subject to space environment

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