Spacecraft Orbital maneuver Flight Dynamics Simulation and Verification

Alshamy, Hossam M. I.; Hendy, Hossam; Makled, Ah. El-S.; Elhalwagy, Yehia Z.

doi:10.1109/icicis46948.2019.9014702

Cited by 1 publication

(2 citation statements)

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“…The coordinates u and θ are expressed as functions of using θ0 the equations of system (6), the left-hand sides of which have a simple form , and the right-hand sides depend not only on u and θ, but also on θ0. The variable is related to time t by (3). It remains to choose the first approximation by the Gilden choice in the same way as the Keplerian motion [10].…”

Section: Role Of Auxiliary Symbolsmentioning

confidence: 99%

“…The motion of celestial bodies perpendicular to the plane of the Galaxy, obtaining the trajectory of motion, as well as studying them for stability can be used in Cosmonautics. In addition, the motion of celestial bodies in the perpendicular plane of the near-planetary disks and the equatorial plane of the Earth is very important for studying the mechanical characteristics of the motion of such celestial bodies as a comet, a meteorite [1]- [3].…”

Section: Introductionmentioning

confidence: 99%

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Differential equations of motion of a material point in the perpendicular plane to the plane of the gravitating disk

Rakhmetullina

Amenova

2021

IJEECS

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This paper presents an analytical solution of the differential equations of motion of a material point in the plane perpendicular to the plane of the gravitating disk. The differential equations of the problem under study and the applied Gilden's method are described in the works of A. Poincaré. Differential equations refer to nonlinear equations. The analysis of methods for solving nonlinear differential equations was carried out. The methodology of applying the Gilden method to the solution of the differential equations under consideration can be applied in studies of the problem of the motion of celestial bodies in the “disk-material point” system in perpendicular planes. To identify the various properties of the gravitating disk, an analytical review of the state of the problem of the motion of a material point in the field of a gravitating disk is carried out. Summing up the presented review on the problem under study, a conclusion is made. The substantive formulation of the problem is described, which is formulated as follows: the study of the influence of disk-shaped bodies on the motion of a material point and methods for their solution.

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Section: Role Of Auxiliary Symbolsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%