Determination of Shape, Gravity, and Rotational State of Asteroid 433 Eros

Miller, James; Konopliv, A. S.; Antreasian, P. G.; Bordi, J. J.; Chesley, Steven R.; Helfrich, C. E.; Owen, W. M.; Wang, T.C.; Williams, Bobby G.; Yeomans, D. K.; Scheeres, Daniel J.

doi:10.1006/icar.2001.6753

Cited by 247 publications

(139 citation statements)

References 15 publications

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“…The principal axes of the shape are predefined to coincide with axes of the coordinate system in which the shape is generated, and are, therefore, not corrected after the shape is realized. That is, it is not necessarily assumed that the mass density is constant, although constant mass density seemed to be a good assumption for the asteroid Eros (Miller et al 2002).…”

Section: Gaussian Shapementioning

confidence: 99%

An analytical model for YORP and Yarkovsky effects with a physical thermal lag

Mysen¹

2008

A&A

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Asteroids absorb solar radiation, which is later re-emitted. In this paper, an analytic approach for the description of the effects of this thermal emission on the rotation and orbit of an asteroid of unspecified shape is presented. The theory is connected directly to the physics of the problem, and the important results caused by a delayed thermal response of the surface are, therefore, parameterized by the fundamental surface properties of the asteroid. Overall results of previous numerical studies are recovered and an application to the elongated and irregularly-shaped asteroid Eros shows correspondence. The dependency of the derived differential equations on the dynamical variables is explicit and simple. We argue that if the transport of asteroids within the main belt is caused by thermal emission, then there is a preference for the shapes of Earth orbit crossing, regolith-covered asteroids.

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Section: Gaussian Shapementioning

confidence: 99%

An analytical model for YORP and Yarkovsky effects with a physical thermal lag

Mysen¹

2008

A&A

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“…As an example, the gravitational potential of asteroid 433 Eros has been expanded up to fourth order using the coecients of the spherical harmonics expansion from [14]. The matching of the internal and external potential is done in the same way but adding the equations for the coecients with degree and order up to three and four.…”

Section: Expansion To Higher Ordersmentioning

confidence: 99%

Modeling the Gravitational Potential of a Nonspherical Asteroid

Herrera-Sucarrat

Palmer

Roberts

2013

Journal of Guidance, Control, and Dynamics

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In this paper a gravitational model for a non-spherical body wich is both a simple approximation and very general is presented. The gravitational potential is expanded using spherical harmonics and spherical Bessel functions, and satises Laplace's equation outside the circumscribing sphere, and Poisson's equation inside. Therefore, trajectories can be integrated near the surface as well as far away from it. This paper focuses in the construction of the expansion that satises certain dynamical constraints for a non-spherical asteroid for which some information is known.

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“…Using the asteroid and spacecraft parameters listed in Tables 1 & 2, we numerically integrate the path of the three gravity tractors in each configuration subject to a gravity field modeled after 433 Eros using spherical harmonics but scaled to match Apophis's size and mass [8]. Perturbations included solar radiation pressure, 3 rd body gravity from Venus, Earth, Mars and Jupiter and 1-sigma uncertainties of 1 m in position and 1 mm/s in velocity relative to Apophis' center of mass.…”

Section: Proximity Operationsmentioning

confidence: 99%

Mission concepts and operations for asteroid mitigation involving multiple gravity tractors

Foster¹,

Bellerose²,

Mauro³

et al. 2013

Acta Astronautica

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The gravity tractor concept is a proposed method to deflect an imminent asteroid impact through gravitational tugging over a time scale of years. In this study, we present mission scenarios and operational considerations for asteroid mitigation efforts involving multiple gravity tractors. We quantify the deflection performance improvement provided by a multiple gravity tractor campaign and assess its sensitivity to staggered launches. We next explore several proximity operation strategies to accommodate multiple gravity tractors at a single asteroid including formation-flying and mechanically-docked configurations. Finally, we utilize 99942 Apophis as an illustrative example to assess the performance of a multiple gravity tractor campaign.

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Determination of Shape, Gravity, and Rotational State of Asteroid 433 Eros

Cited by 247 publications

References 15 publications

An analytical model for YORP and Yarkovsky effects with a physical thermal lag

An analytical model for YORP and Yarkovsky effects with a physical thermal lag

Modeling the Gravitational Potential of a Nonspherical Asteroid

Mission concepts and operations for asteroid mitigation involving multiple gravity tractors

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