On orbital disturbing effects of the solar radiation

Xu, Guochang; Xu, Jia

doi:10.1093/mnras/stt483

Cited by 26 publications

(3 citation statements)

References 23 publications

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“…General scheme for calculating the second-order and mixed orbital shifts A suitable form of the Gauss equations [12,24,25] for the variation of the Keplerian orbital elements in presence of a perturbing acceleration A is [26][27][28][29]…”

Section: Notationsmentioning

confidence: 99%

Post-Newtonian direct and mixed orbital effects due to the oblateness of the central body

Iorio

2015

Int. J. Mod. Phys. D

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The orbital dynamics of a test particle moving in the non-spherically symmetric field of a rotating oblate primary is impacted also by certain indirect, mixed effects arising from the interplay of the different Newtonian and post-Newtonian accelerations which induce known direct perturbations. We systematically calculate the indirect gravitoelectromagnetic shifts per orbit of the Keplerian orbital elements of the test particle arising from the crossing among the first even zonal harmonic J 2 of the central body and the post-Newtonian static and stationary components of its gravitational field. We also work out the Newtonian shifts per orbit of order J 2 2 , and the direct post-Newtonian gravitoelectric effects of order J 2 c −2 arising from the equations of motion. In the case of both the indirect and direct gravitoelectric J 2 c −2 shifts, our calculation holds for an arbitrary orientation of the symmetry axis of the central body. We yield numerical estimates of their relative magnitudes for systems ranging from Earth artificial satellites to stars orbiting supermassive black holes. As far as their measurability is concerned, highly elliptical orbital configurations are desirable.

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Section: Notationsmentioning

confidence: 99%

Post-Newtonian direct and mixed orbital effects due to the oblateness of the central body

Iorio

2015

Int. J. Mod. Phys. D

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“…There are six parameters in a Kepler orbit: the semi-major axis of the ellipse, orbital eccentricity, orbit inclination, the longitude of ascending node, the argument of perigee, and mean anomaly. These parameters for solar orbit are calculated as follows [26,30]:…”

Section: Kepler Orbit Parameters For Solar In Ecei (1) Parametersmentioning

confidence: 99%

“…Figure 10 visualizes the potential losses that could result from deviating from the optimal solar placement angle. The vertical axis represents the solar energy accumulation calculated according to Equation (30). During the day, the difference in the tilt angle setting of the solar collectors causes a change in this accumulation.…”

Section: Losses Due To Deviation From the Optimal Anglementioning

confidence: 99%

A Theoretical Optimum Tilt Angle Model for Solar Collectors from Keplerian Orbit

Liu

et al. 2021

Energies

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Solar energy has been extensively used in industry and everyday life. A more suitable solar collector orientation can increase its utilization. Many studies have explored the best orientation of the solar collector installation from the perspective of data analysis and local-area cases. Investigating the optimal tilt angle of a collector from the perspective of data analysis, or guiding the angle of solar collector installation, requires an a priori theoretical tilt angle as a support. However, none of the current theoretical studies have taken the real motion of the Sun into account. Furthermore, a complete set of theoretical optimal tilt angles for solar energy is necessary for worldwide locations. Therefore, from the view of astronomical mechanics, considering the true orbit of the Sun, a mathematical model that is universal across the globe is proposed: the Kepler motion model is constructed from the solar orbit and transformed into the local Earth coordinate system. After that, the calculation of the optimal tilt angle solution is given. Finally, several examples are shown to demonstrate the variation of the optimal solar angle with month and latitude. The results show that for daily fixed solar collectors, the altitude angle of the collector should be about 6° above the noon solar altitude angle in summer and 6° lower in winter. For annual fixed collectors, the tilt angle should be slightly higher than the latitude. In summary, this study demonstrates that when a location is specified, this model can be used to calculate the theoretical optimum tilt angle of solar collectors for that position.

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Singularity-Free Orbit Theory

2016

GPS

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On orbital disturbing effects of the solar radiation

Cited by 26 publications

References 23 publications

Post-Newtonian direct and mixed orbital effects due to the oblateness of the central body

Post-Newtonian direct and mixed orbital effects due to the oblateness of the central body

A Theoretical Optimum Tilt Angle Model for Solar Collectors from Keplerian Orbit

Singularity-Free Orbit Theory

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