Aerodynamic Torque exhibits non-resonance oscillation in satellite motion

• Autorzy: Bhardwaj R. , Kaur M.

Identyfikatory

DOI

10.14708/ma.v44i2.1217

Warianty tytułu

PL

Nierezonansowe oscylacje aerodynamicznego momentu obrotowego dla satelity okołoziemskiego

• Języki publikacji: EN

Abstrakty

EN

This paper deals with the non-linear oscillation of a satellite in an elliptic orbit around the Earth under the influence of aerodynamic and gravitational torque. It is assumed that the orbital plane coincides with the equatorial plane of the Earth. Using Bogoliubov–Krylov–Mitropolsky (BKM) methods of nonlinear oscillations, it is observed that the amplitude of the oscillation remains constant up to the second order of approximation. Numerically time series, 2D and 3D phase spaces are plotted for Earth Moon system using Matlab. The existence of main and parametric resonance concludes the different frequency states which transit the motion from regular to an attractor that leads to chaotic state.

PL

Artykuł poświęcony jest nieliniowej oscylacji satelity w eliptycznej orbicie wokół Ziemi pod wpływem grawitacji i aerodynamicznego momentu obrotowego. Przyjmuje się, że płaszczyzna orbity pokrywa się z płaszczyzną równikową Ziemi. Po zastosowaniu metody nieliniowych oscylacji Bogoliubova–Krylova–Mitropolsky’ego (BKM) obserwujemy, że amplituda oscylacji jest stała przy aproksymacji rzędu drugiego. Ilustracje szeregów czasowych w przestrzeni fazowej 2- i 3-wymiarowej wykonano z wykorzystaniem procedur zaimplementowanych w MatLabie. Istnienie głównej składowej rezonansu i składowych parametrycznych wyjaśnia chaotyczny charakter częstotliwości.

Słowa kluczowe

EN

aerodynamic torque; gravitational torque; non-linear oscillation; non-resonance; resonance

PL

moment aerodynamiczny; moment grawitacyjny; oscylacje nieliniowe; oscylacje swobodne; rezonans

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2016
• Tom: Vol. 44, No. 2
• Strony: 247--261
• Opis fizyczny: Bibliogr. 26 poz., fot., rys., tab., wykr.

Twórcy

autor

Bhardwaj R.

• University School of Basic and Applied Sciences, Non-Linear Dynamics Research Lab, Guru Gobind Singh Indraprastha University, New Delhi, Ind

autor

Kaur M.

• University School of Basic and Applied Sciences, Non-Linear Dynamics Research Lab, Guru Gobind Singh Indraprastha University, New Delhi, Ind

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).