Periodic Motion for an Imperfect Solar Sail Near an Asteroid

Farrés, Ariadna; Jorba, Àngel; Mondelo, Josep–Maria; Villac, Benjamin

doi:10.1007/978-3-642-34907-2_53

Cited by 7 publications

(9 citation statements)

References 9 publications

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“…Hence, the sameβ can represent two different missions scenarios. For further details on values ofβ depending on the sail performance and the asteroids mass see [FJMV14,FJM14].…”

Section: The Ah3bp Model For a Non-perfectly Reflecting Solar Sailmentioning

confidence: 99%

“…Throughout the paper we focus on the particular case ofβ = 5 and ξ r = 0.85, that corresponds to a sailcraft with similar characteristics to NanoSail-D2 orbiting close to Ceres [FJMV14]. Our goal is to describe the dynamics of the system and how this one varies when we change the sail orientation.…”

Section: The Ah3bp Model For a Non-perfectly Reflecting Solar Sailmentioning

confidence: 99%

“…This will allow us to understand the effect that the different parameters of the system have on the position of the equilibrium points and their stability. For further details see [MSL01,GF12,FJMV14,FJM14].…”

Section: Equilibrium Points Of the Ah3bpmentioning

confidence: 99%

“…Moreover, as the distance to the Sun is much larger than the distance to the asteroid, Sun's gravity and SRP can be taken as uniform forces. For this reason, we use as a model for the dynamics the Augmented Hill 3-body problem, AH3BP, [MSL01,GF12,FJMV14], which is the classical Hill problem [Hil78,Sze67] with an additional term that accounts for the effect of the solar sail. This term depends on the sail's efficiency, defined by two parameters (β, ξ r ), and orientation, parameterised by two angles (α, δ).…”

Section: Introductionmentioning

confidence: 99%

“…The Augmented Hill model considered here is an extension of the so-called Photogravitational Hill problem, in which the solar radiation pressure only acts in the opposite direction of the Sun, see [MRVK00,KMPD02,Pap06,LV10,GCTK14,GYSM15]. Preliminary studies on the dynamics of a solar sail in the Hill model are [MSL01,MSL02,GF12,FJMV14,FJM14].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem

Farrés

Jorba

Mondelo

2017

Celest Mech Dyn Astr

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The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among other applications, has been used to model the motion of a solar sail around an asteroid. This model is a 3 degrees of freedom (3DoF) Hamiltonian system that depends on four parameters. This paper describes the bounded motions (periodic orbits and invariant tori) in an extended neighbourhood of some of the equilibrium points of the model. An interesting feature is the existence of equilibrium points with a 1:1 resonance, whose neighbourhood we also describe. The main tools used are the computation of periodic orbits (including their stability and bifurcations), the reduction of the Hamiltonian to centre manifolds at equilibria, and the numerical approximation of invariant tori. It is remarkable how the combination of these techniques allows the description of the dynamics of a 3DoF Hamiltonian system.

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“…Hence, the sameβ can represent two different missions scenarios. For further details on values ofβ depending on the sail performance and the asteroids mass see [FJMV14,FJM14].…”

Section: The Ah3bp Model For a Non-perfectly Reflecting Solar Sailmentioning

confidence: 99%

Section: The Ah3bp Model For a Non-perfectly Reflecting Solar Sailmentioning

confidence: 99%

Section: Equilibrium Points Of the Ah3bpmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem

Farrés

Jorba

Mondelo

2017

Celest Mech Dyn Astr

Self Cite

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Forced periodic motions by solar radiation pressure around uniformly rotating asteroids

Xin

Scheeres

Hou

2016

Celest Mech Dyn Astr

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Hayabusa2’s Superior Solar Conjunction Phase

et al. 2020

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Hayabusa2 is the ongoing JAXA’s sample and return mission to the asteroid Ryugu. In late 2018, Ryugu was in superior solar conjunction with the Earth. It is the first time that a spacecraft experiences the blackouts in the communication link with the Earth while hovering around a small celestial body. In this article, the design of the nominal conjunction trajectory flown by the Hayabusa2’s spacecraft is presented. The requirements for the conjunction trajectory were (1) to guarantee a low fuel consumption, (2) to ensure the visibility of the asteroid by the spacecraft’s wide angle camera ($60^{\circ }$ 60 ∘ FoV), and (3) to increase the spacecraft altitude to a safety location ($\sim109~\mbox{km}$ ∼ 109 km ) from the nominal BOX-A operation of 20 km (Home Position - HP). Finally, (4) to return at BOX-A after the conjunction phase. Given the mission constraints, the designed conjunction trajectory appears to have a fish-shape in the Hill coordinates therefore we renamed it as “ayu” (sweetfish in Japanese) trajectory. The optNEAR tool was developed for the guidance ($\Delta V\mbox{s}$ Δ V s planning) and navigation design of the Hayabusa2’s conjunction mission phase. A preliminary sensitivity analysis in the Hill reference frame proved that the ayu trajectory is a good candidate for the conjunction operation of hovering satellite. The solution in the Hill coordinates is refined in the full-body planetary dynamics (optNEAR Tool) before flight. The ayu conjunction trajectory requires (a) two deterministic $\Delta V\mbox{s}$ Δ V s at the Conjunction Orbit Insertion (COI) point and at the Home-position Recovery Maneuver (HRM) point respectively. (b) Two stochastic $\Delta V\mbox{s}$ Δ V s , known as Trajectory Correction Manoeuvres (TCMs), before and after the deep conjunction phase are also required. The constraint linear covariance analysis in the full-body dynamics is here derived and used for the preliminary guidance and navigation planning. The results of the covariance analysis were validated in a nonlinear sense with a Monte Carlo approach which proved the validity of the semi-analytic method for the stochastic $\Delta V\mbox{s}$ Δ V s planning derived in this paper.

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Periodic Motion for an Imperfect Solar Sail Near an Asteroid

Cited by 7 publications

References 9 publications

Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem

Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem

Forced periodic motions by solar radiation pressure around uniformly rotating asteroids

Hayabusa2’s Superior Solar Conjunction Phase

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