Dynamics of Mars-orbiting dust: Effects of light pressure and planetary oblateness

Krivov, A. V.; Sokolov, L. L.; Dikarev, Valeri

doi:10.1007/bf00692293

Cited by 68 publications

(74 citation statements)

References 24 publications

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“…Considering the planar evolution of swarm members perturbed by the Earth's oblateness and solar radiation pressure (SRP) with the obliquity of the ecliptic ignored, another family of precessing elliptical orbits can be found, where the full orbital dynamics defined by ex=ecos and ey=esin, are given by the following [18][19][20][21]  (13) where e is the actual eccentricity, Sun n is the angular rate of the Earth around the Sun, and  is the actual pericentre angle between the Sun-Earth line and the pericentre of the elliptical orbit shown in Fig.3. Compared with Kozai's model [22] including only SRP and without the J2 perturbation, the planar model used in this section includes both the SRP and J2…”

Section: B Precessing Elliptical Orbit Perturbed By J2 and Srpmentioning

confidence: 99%

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Wavelike Patterns in Precessing Elliptical Rings for Swarming Systems

McInnes

2017

Journal of Guidance, Control, and Dynamics

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Section: B Precessing Elliptical Orbit Perturbed By J2 and Srpmentioning

confidence: 99%

“…Hence, it is easy to solve for ex and ey from the above equation as (20) where e and  are referred as the mean eccentricity and the mean angle related to the pericentre. e stays invariant which can be used to parameterize different families of (ex, ey), and t…”

Section: B Precessing Elliptical Orbit Perturbed By J2 and Srpmentioning

confidence: 99%

Wavelike Patterns in Precessing Elliptical Rings for Swarming Systems

McInnes

2017

Journal of Guidance, Control, and Dynamics

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“…Indeed, extending the above calculation for all the major couples of primaries of the Solar System, the two Martian moons have the highest values of transition grain radius on the mean surface among the bodies considered. This means that Phobos and Deimos could experience rings of dust clouds of micrometer scale around them (Krikov et al 1996) and some authors theorize that dust dynamics on the surface is responsible for the origin of the grooves of Phobos (Ramsley and Head III 2013a,b;Dombard et al 2010). We suggest that the footprint of IMs and large LPOs could have originated in the past the craters and the grooves of Phobos, and that current dust clouds of grain dimension over 20µm could correspond to the LPOs presented in this paper.…”

Section: Extension Of the Lpos And Ims To Model Natural Impacts On Thmentioning

confidence: 99%

Natural motion around the Martian moon Phobos: the dynamical substitutes of the Libration Point Orbits in an elliptic three-body problem with gravity harmonics

Zamaro

Biggs

2015

Celest Mech Dyn Astr

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The Martian moon Phobos is becoming an appealing destination for future scientific missions. The orbital dynamics around this planetary satellite is particularly complex due to the unique combination of both small mass-ratio and length-scale of the Mars-Phobos couple: the resulting sphere of influence of the moon is very close to its surface, therefore both the classical two-body problem and circular restricted three-body problem (CR3BP) do not provide an accurate approximation to describe the spacecraft's dynamics in the vicinity of Phobos. The aim of this paper is to extend the model of the CR3BP to consider the orbital eccentricity and the highly-inhomogeneous gravity field of Phobos, by incorporating the gravity harmonics series expansion into an elliptic R3BP, named ER3BP-GH. Following this, the dynamical substitutes of the Libration Point Orbits (LPOs) are computed in this more realistic model of the relative dynamics around Phobos, combining methodologies from dynamical systems theory and numerical continuation techniques. Results obtained show that the structure of the periodic and quasi-periodic LPOs differs substantially from the classical case without harmonics. Several potential applications of these natural orbits are presented to enable unique low-cost operations in the proximity of Phobos, such as close-range observation, communication, and passive radiation shielding for human spaceflight. Furthermore, their invariant manifolds are demonstrated to provide high-performance natural landing and take-off pathways to and from Phobos' surface, and transfers from and to Martian orbits. These orbits could be exploited in upcoming and future space missions targeting the exploration of this Martian moon.

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“…The secular and long-period rate of change of the orbital elements due to solar radiation pressure (SRP) and J 2 are given for example in (Krivov et al, 1995) and were implemented in PlanODyn (Colombo et al, 2012) as:…”

Section: Averaged Dynamicsmentioning

confidence: 99%

“…Solar radiation pressure and planetary oblateness are essential to predict the motion of impact ejecta from Phobos and Deimos in orbits around Mars (Krivov et al, 1995) or high area-to-mass spacecraft around the Earth (Colombo et al, 2012). Similarly, the environment models used for space debris evolution implement the e↵ect of solar radiation pressure, third body perturbations of Sun and Moon, and the e↵ect of the Earth's oblateness (Rossi et al, 1998).…”

Section: Introductionmentioning

confidence: 99%

Long-term density evolution through semi-analytical and differential algebra techniques

Wittig

Colombo

Armellín

2017

Celest Mech Dyn Astr

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This paper introduces and combines for the first time two techniques to allow long-term density propagation in astrodynamics. First, we introduce an e cient method for the propagation of phase space densities based on Di↵erential Algebra (DA) techniques. Second, this DA density propagator is used in combination with a DA implementation of the averaged orbital dynamics through semi-analytical methods. This approach combines the power of orbit averaging with the e ciency of DA techniques.While the DA-based method for the propagation of densities introduced in this paper is independent of the dynamical system under consideration, the particular combination of DA techniques with averaged equations of motion yields a fast and accurate technique to propagate large clouds of initial conditions and their associated probability density functions very e ciently for long time. This enables the study of the long-term behavior of particles subjected to the given dynamics.To demonstrate the e↵ectiveness of the proposed approach, the evolution of a cloud of high area-to-mass objects in Medium Earth Orbit is reproduced considering the e↵ects of solar radiation pressure, the Earth's oblateness and luni-solar perturbations. The method can easily propagate 10, 000 random

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Dynamics of Mars-orbiting dust: Effects of light pressure and planetary oblateness

Cited by 68 publications

References 24 publications

Wavelike Patterns in Precessing Elliptical Rings for Swarming Systems

Wavelike Patterns in Precessing Elliptical Rings for Swarming Systems

Natural motion around the Martian moon Phobos: the dynamical substitutes of the Libration Point Orbits in an elliptic three-body problem with gravity harmonics

Long-term density evolution through semi-analytical and differential algebra techniques

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