The optimal control for the tethered system formed by an asteroid and a solar sail

Gao, Youtao; Wu, Jingyun

doi:10.1016/j.asr.2015.12.018

Cited by 7 publications

(5 citation statements)

References 16 publications

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“…[9] shows than an analytical solution in the form α = α(θ) cannot be obtained from Eqs. (14). Indeed, the solution of Eqs.…”

Section: Known Results For the Optimal Steering Lawsmentioning

confidence: 99%

“…(48) with those obtained using the approach described in Ref. [9], which requires the use of a numerical method for the solution of the necessary condition (14). For the sake of example, we use the force coefficients of JPL-1978 and JPL-2015 cases reported in Tab.…”

Section: Validation Of the Analytical Resultsmentioning

confidence: 99%

“…This happens, for example, in the ideal case of fully specular reflection of the impinging photons [7], or in the case of imperfect reflectivity that simply reduces by a factor of η < 1 the magnitude of the solar radiation pressure force (with respect to the ideal case) without altering its direction [12]. The simplified force models are still used in optimization problems for mission applications, in order to reduce their complexity and computational costs [13,14]. However, as is thoroughly discussed in Ref.…”

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confidence: 99%

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Analytical solution of the optimal steering law for non-ideal solar sail

Niccolai

Quarta

Mengali

2017

Aerospace Science and Technology

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“…[9] shows than an analytical solution in the form α = α(θ) cannot be obtained from Eqs. (14). Indeed, the solution of Eqs.…”

Section: Known Results For the Optimal Steering Lawsmentioning

confidence: 99%

Section: Validation Of the Analytical Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

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Analytical solution of the optimal steering law for non-ideal solar sail

Niccolai

Quarta

Mengali

2017

Aerospace Science and Technology

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“…Low-thrust techniques can also be considered, such as gravity tractors, or passive methods, such as changes on the surface of the asteroid by thermal induction (Bottke Jr et al 2006;Vasile & Maddock 2010). One example of the latter technique is a study using a tethered system formed by a solar sail attached to an asteroid with a tether of constant length (Gao & Wu 2016). The gravity tractor is a technique that uses the perturbation coming from the mass of the spacecraft that is positioned near the asteroid (Lu & Love 2005).…”

Section: Introductionmentioning

confidence: 99%

On the Effects of Solar Radiation Pressure on the Deviation of Asteroids

Marchi

Sanchez

Venditti

et al. 2021

RMxAA

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In this work, we study the effects of solar radiation pressure (SRP) on the problem of changing the orbit of an asteroid to support planetary defense, scientific research, or exploitation of materials. This alternative considers a tethered reflective balloon (or a set of reflective balloons) attached to the asteroid, with a high area-to-mass ratio, to use the SRP to deflect a potentially hazardous asteroid (PHA) or to approximate the target asteroid to Earth. The tether is assumed to be inextensible and massless, and the motion is described only in the orbital plane of the asteroid around the Sun. The model is then used to study the effects that the tether length, the reflectivity coefficient, and the area-to-mass ratio have on the deviation of the trajectory of the asteroid.

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“…It is concluded that the direct collocation method is capable of finding accurate solutions to the optimal control problem of solar sail interplanetary trajectories. Gau [6] (in 2015) proposed a method using a solar sail to change the orbit of a near Earth asteroid. He derived the dynamic model for a tethered system formed by an asteroid and a solar sail and utilized the Legendre pseudospectral method to solve the optimal control problem of its trajectory.…”

Section: Introductionmentioning

confidence: 99%

The Earth-Mars Transfer Trajectory Optimization of Solar Sail Based on hp-Adaptive Pseudospectral Method

Guo

Feng

Wang

et al. 2018

Discrete Dynamics in Nature and Society

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Solar sails have many advantages over traditional chemical propulsion spacecraft, such as needlessness of fuel, high payload ratio, long service life, and great application potential in deep space exploration, interstellar voyage, and other aerospace application fields. However, the period of solar sail transfer from the initial orbit to the desired orbit is relatively long. Thus, it is necessary to optimize the transfer trajectory of solar sail according to specific tasks. The hp-adaptive pseudospectral method combines the global pseudospectral method with the finite element method, which adopts double layer optimization strategy to solve the optimal control problem and has higher computational efficiency and accuracy than the traditional global pseudospectral method. In this paper, the pressure of solar light acting on the solar sail is analyzed, and the kinematic equation of the solar sail is established in polar coordinate system first; then the basic principle of the hp-adaptive pseudospectral method is introduced, and the steps of solving the transfer trajectory optimization problem by hp-adaptive pseudospectral method are proposed; finally, the trajectory optimization of the solar sail from Earth orbit to Sun-centered Mars orbit is simulated as an example to demonstrate the effectiveness of hp-adaptive pseudospectral method in the orbit transfer optimization problem of solar sail. The simulation results show that the adopted method is not sensitive to the initial values and has more reasonable distribution and less computational cost than the Gauss pseudospectral method.

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The optimal control for the tethered system formed by an asteroid and a solar sail

Cited by 7 publications

References 16 publications

Analytical solution of the optimal steering law for non-ideal solar sail

Analytical solution of the optimal steering law for non-ideal solar sail

On the Effects of Solar Radiation Pressure on the Deviation of Asteroids

The Earth-Mars Transfer Trajectory Optimization of Solar Sail Based on hp-Adaptive Pseudospectral Method

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