Parametric excitation induced by solar pressure torque on the roll-yaw attitude motion of a gravity-gradient stabilized spacecraft

Takeichi, Noboru

doi:10.1007/s10569-010-9311-5

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…(24) are following from the analysis of the problems solved earlier in the papers [12][13][14][15][16][17][18] on the basis of less accurate equations obtained in [11]. In the first place it should be noted here that the problem of investigation of gravity-oriented rigid body oscillations is a non-linear mechanical problem where the analysis of possible resonance effects is of great interest [2,3,[5][6][7][8][9][20][21][22][23][24]. One can consider exactly this trend as the foreground for the usage of Eqs.…”

Section: Resultsmentioning

confidence: 99%

“…For example, the librational motion of a slowly spinning satellite in the presence of solar radiation pressure was analyzed in [8] with the help of Butenin's method of slowly varying parameters. The perturbation method also was used in [9] for the analysis of the parametric excitation of a gravity gradient stabilized spacecraft induced by the periodic solar pressure torque (for completeness we can mention here that in some models [10] the solar pressure torque is able to have potential).…”

Section: Introductionmentioning

confidence: 99%

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Differential equations for librational motion of gravity-oriented rigid body

Kosjakov

Тихонов

2015

International Journal of Non-Linear Mechanics

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Differential equations for librational motion of gravity-oriented rigid body

Kosjakov

Тихонов

2015

International Journal of Non-Linear Mechanics

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“…In the literature several papers considered the influence of the solar radiation torque (SRT) on the attitude of the artificial satellite [3,6,7,9,11,12]. Most of them modeled the torque acting on the artificial satellite and determine analytical and numerical solutions for the dynamic system of equations describing the rotational motion of the satellite, including the shadow region of the Earth.…”

Section: Introductionmentioning

confidence: 99%

Magnitude of Solar Radiation Torque in the Transition Region from the Umbra to the Dark Shadow of the Earth

Cabette

Zanardi

Kolesnikov

2015

J. Phys.: Conf. Ser.

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Abstract. The analysis of solar radiation pressure force and its influence on the motion of artificial satellites has been developed by researchers. Accurate models to describe the influence of the Earth's shadow on the torque and force due to solar radiation pressure have been presented. In this work the solar radiation torque (SRT) and its influence on the attitude of an artificial satellite are taken into account by the introduction of the Earth's shadow function in the equations of motion. This function assumes a unitary value when the satellite is in the fully illuminated region of its orbit, and the value zero for the full shade region. The main objective of this study is to analyze the magnitude of SRT using the equations described by quaternions during a 35 day period and to compare the results with the satellite transition through the shadow region and the time interval in this region. The duration and transition through the shadow region were obtained using the software "Shadow Conditions of Earth Satellites". The formulation is applied to the Brazilian Data Collection Satellites SCD1 and SCD2, and the torque model is presented in terms of the satellite attitude quaternion, distance of the satellite to the Sun, orbital elements, right ascension and declination of the Sun. IntroductionThe study of the rotational motion of artificial satellites leads to a more precise results when the torques caused by external forces that influence their motion are included. In this paper, the force caused by the solar radiation pressure is one of the external forces that has been modeled, taking into account the effects of Earth´s shadow, and inserted in the equations in order to propagate the rotational motion of the artificial satellites.In the literature several papers considered the influence of the solar radiation torque (SRT) on the attitude of the artificial satellite [3,6,7,9,11,12]. Most of them modeled the torque acting on the artificial satellite and determine analytical and numerical solutions for the dynamic system of equations describing the rotational motion of the satellite, including the shadow region of the Earth.The goal of this paper is the analysis of the magnitude of the SRT during a 35 day period using the Brazilian Satellites SCD1 and SCD2 data. Here it is assumed that the orbital motion is known and given by the problem of two bodies and quaternions are used to represent the space orientation (attitude) of the satellite. The equations of motion are given by Euler's equation, relating the rate of change of the components of the satellite angular velocity with the external torques, and by the attitude

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Analytical investigations of quasi-circular frozen orbits in the Martian gravity field

Liu

Baoyin

2011

Celest Mech Dyn Astr

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Frozen orbits are always important foci of orbit design because of their valuable characteristics that their eccentricity and argument of pericentre remain constant on average. This study investigates quasi-circular frozen orbits and examines their basic nature analytically using two different methods. First, an analytical method based on Lagrangian formulations is applied to obtain constraint conditions for Martian frozen orbits. Second, Lie transforms are employed to locate these orbits accurately, and draw the contours of the Hamiltonian to show evolutions of the equilibria. Both methods are verified by numerical integrations in an 80 × 80 Mars gravity field. The simulations demonstrate that these two analytical methods can provide accurate enough results. By comparison, the two methods are found well consistent with each other, and both discover four families of Martian frozen orbits: three families with small eccentricities and one family near the critical inclination. The results also show some valuable conclusions: for the majority of Martian frozen orbits, argument of pericentre is kept at 270 • because J 3 has the same sign as J 2 ; while for a minority of ones with low altitude and low inclination, argument of pericentre can be kept at 90 • because of the effect of the higher degree odd zonals; for the critical inclination cases, argument of pericentre can also be kept at 90 • . It is worthwhile to note that there exist some special frozen orbits with extremely small eccentricity, which could provide much convenience for reconnaissance. Finally, the stability of Martian frozen orbits is estimated based on the trace of the monodromy matrix. The analytical investigations can provide good initial conditions for numerical correction methods in the more complex models.

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Parametric excitation induced by solar pressure torque on the roll-yaw attitude motion of a gravity-gradient stabilized spacecraft

Cited by 3 publications

References 13 publications

Differential equations for librational motion of gravity-oriented rigid body

Differential equations for librational motion of gravity-oriented rigid body

Magnitude of Solar Radiation Torque in the Transition Region from the Umbra to the Dark Shadow of the Earth

Analytical investigations of quasi-circular frozen orbits in the Martian gravity field

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