Proper elements for resonant planet-crossing asteroids

Fenucci, Marco; Gronchi, Giovanni F.; Saillenfest, Melaine

doi:10.1007/s10569-022-10078-4

Cited by 7 publications

(1 citation statement)

References 47 publications

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“…A variety of different methods to compute proper orbital elements have been developed, including analytic models (Yuasa 1973;Knezevic 1989;Milani & Knezevic 1994), semianalytic models (Lemaitre & Morbidelli 1994;Gronchi & Milani 2001;Fenucci et al 2022), and numerical approaches (Knežević & Milani 2000). In this paper, we concern ourselves with the proper orbital elements provided by the Asteroid Families Portal site (Novakovic & Radovic 2019).…”

Section: Introductionmentioning

confidence: 99%

Using Neural Networks to Model Main Belt Asteroid Albedos as a Function of Their Proper Orbital Elements

Murray

2023

Planet. Sci. J.

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Asteroid diameters are traditionally difficult to estimate. When a direct measurement of the diameter cannot be made through either occultation or direct radar observations, the most common method is to approximate the diameter from infrared observations. Once the diameter is known, a comparison with visible light observations can be used to find the visible geometric albedo of the body. One of the largest data sets of asteroid albedos comes from the NEOWISE mission, which measured asteroid albedos both in the visible and infrared. We model these albedos as a function of proper orbital elements available from the Asteroid Families Portal using an ensemble of neural networks. We find that both the visible and infrared geometric albedos are significantly correlated with asteroid position in the belt and occur in both asteroid families and in the background belt. We find that the ensemble’s prediction reduces the average error in the albedo by about 37% compared to a model that simply adopts an average albedo with no regard for the dynamical state of the body. We then use this model to predict albedos for the half million main belt asteroids with proper orbital elements available in the Asteroid Families Portal and provide the results in a catalog. Finally, we show that several presently categorized asteroid families exist within much larger groups of asteroids of similar albedos—this may suggest that further improvements in family identification can be made.

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Section: Introductionmentioning

confidence: 99%

Using Neural Networks to Model Main Belt Asteroid Albedos as a Function of Their Proper Orbital Elements

Murray

2023

Planet. Sci. J.

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Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics

Celletti

Vartolomei

2023

Boll Unione Mat Ital

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Perturbative methods have been developed and widely used in the XVIII and XIX century to study the behavior of N-body problems in Celestial Mechanics. Such methods apply to nearly-integrable Hamiltonian systems and they have the remarkable property to be constructive. A well-known application of perturbative techniques is represented by the construction of the so-called proper elements, which are quasi-invariants of the dynamics, obtained by removing the perturbing function to higher orders. They have been used to identify families of asteroids; more recently, they have been used in the context of space debris, which is the main core of this work. We describe the dynamics of space debris, considering a model including the Earth’s gravitational attraction, the influence of Sun and Moon, and the Solar radiation pressure. We construct a Lie series normalization procedure and we compute the proper elements associated to the orbital elements. To provide a concrete example, we analyze three different break-up events with nearby initial orbital elements. We use the information coming from proper elements to successfully group the fragments; the clusterization is supported by statistical data analysis and by machine learning methods. These results show that perturbative methods still play an important role in the study of the dynamics of space objects.

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Dynamical classification of the asteroids in the Hungaria group II: The objects affected by the exterior mean-motion resonances 3:4, 5:7, 7:10 and 8:11 with Mars

Correa-Otto

Leiva

Zoppetti

et al. 2022

Icarus

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Proper elements for resonant planet-crossing asteroids

Cited by 7 publications

References 47 publications

Using Neural Networks to Model Main Belt Asteroid Albedos as a Function of Their Proper Orbital Elements

Using Neural Networks to Model Main Belt Asteroid Albedos as a Function of Their Proper Orbital Elements

Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics

Dynamical classification of the asteroids in the Hungaria group II: The objects affected by the exterior mean-motion resonances 3:4, 5:7, 7:10 and 8:11 with Mars

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