Effects of Solar Radiation Pressure on Orbits of Space Solar Power Station

WEI Yi; DENG Zi-chen; LI Qing-jun; WANG Yan

doi:10.21656/1000-0887.370309

Volume 38 Issue 4

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WEI Yi, DENG Zi-chen, LI Qing-jun, WANG Yan. Effects of Solar Radiation Pressure on Orbits of Space Solar Power Station[J]. Applied Mathematics and Mechanics, 2017, 38(4): 399-409. doi: 10.21656/1000-0887.370309

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Effects of Solar Radiation Pressure on Orbits of Space Solar Power Station

doi: 10.21656/1000-0887.370309

Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, P.R.China

Funds: The National Natural Science Foundation of China(11432010；11572254)

Received Date: 2016-10-12
Rev Recd Date: 2017-03-02
Publish Date: 2017-04-15

Abstract

Abstract

The orbital dynamic behaviors of 3 typical space solar power stations (SSPSs) under the gravity gradient stabilized flight strategy were investigated. In view of the earth shadow and the effective cross-sectional area, a solar radiation pressure model was established. Firstly, the energy method was used, through the Legendre transformation and with the generalized momenta introduced, the canonical equations for the orbits in the Hamiltonian system were derived; then, the symplectic Runge-Kutta method was adopted to solve the corresponding canonical equations. Finally, several numerical examples were given, and the effectiveness of the proposed model and the stability of the numerical scheme were verified, in comparison with the previously reported results. The effects of the earth shadow and the effective cross-sectional area variations on SSPSs are significant. Meanwhile, the curves of the semi-major axis, eccentricity and orbital inclination in the geosynchronous orbit were obtained. The results provide a theoretical reference for the design of SSPSs.
- space solar power station,
- symplectic algorithm,
- orbit,
- Hamiltonian system

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References(26)

References

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