Study on the connection between the rotating mass dipole and natural elongated bodies

Zeng, Xia; Jiang, Fanghua; Li, Junfeng; Baoyin, Hexi

doi:10.1007/s10509-014-2187-1

Cited by 55 publications

(47 citation statements)

References 32 publications

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“…д.). Такое описание полей двойных астероидов с помощью полей, порождаемых гантелеобразными телами, изучалось в [55,56]. Для астероидов, потенциал притяжения которых допускает приближение с помощью тройки массивных точек [42,43,54], в специальных случаях представление о движении можно составить исходя из результатов работ [31,32,47].…”

Section: историческое замечаниеunclassified

Stability and branching of stationary rotations in a planar problem of motion of mutually gravitating triangle and material point

Burov

Nikonov²

2016

Nelin. Dinam.

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Section: историческое замечаниеunclassified

Stability and branching of stationary rotations in a planar problem of motion of mutually gravitating triangle and material point

Burov

Nikonov²

2016

Nelin. Dinam.

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“…Other work that also investigated the motion of a particle around small celestial bodies considering a simplified model used a simple planar plate (Blesa 2006), a homogeneous cube (Liu et al 2011b), a triaxial ellipsoid (Gabern et al 2006), a rotating homogeneous cube (Liu et al 2011a), a double and finite straight segments (Jain & Sinha 2014), a rotating mass dipole (Chermnykh 1987;. In 2015, for the first time, Zeng et al (2015) presented a method for adjusting the rotating mass dipole model to a real asteroid. An improvement of this model was carried out considering the oblateness of the primary bodies (Zeng et al 2016b(Zeng et al ,c, 2017, and the dipole segment model (Zeng et al 2018).…”

Section: Introductionmentioning

confidence: 99%

A particle-linkage model for elongated asteroids with three-dimensional mass distribution

Santos

Marchi

Aljbaae

et al. 2021

Monthly Notices of the Royal Astronomical Society

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The goal of the present paper is to develop a simplified model to describe the gravitational fields of elongated asteroids. The proposed model consists of representing an elongated asteroid using a triple-particle-linkage system distributed in the three-dimensional space and it is an extension of previous planar models. A non-linear optimisation method is used to determine the parameters of our model, minimising the errors of all the external equilibrium points with respect to the solutions calculated with a more realistic approach, the Mascon model, which are assumed to give the real values of the system. The model considered in this article is then applied to three real irregular asteroids: 1620 Geographos, 433 Eros, and 243 Ida. The results show that the current triple-particle-linkage three-dimensional model gives better accuracy when compared to the axisymmetric triple-particle-linkage model available in the literature, and provides an advantage in terms of accuracy over the mass point model, while keeping computational time low. This model is also used to carry out simulations to characterise regions with solutions that remain bounded or that escape from around each asteroid under analysis. We investigated initial inclinations of 0○ (direct orbits) and 180○ (retrograde orbits). We considered the gravitational field of the asteroid, the gravitational attraction of the Sun, and the SRP. Our results are then compared to the results obtained using the Mascon gravitational model, based on the polyhedral shape source. We found good agreement between the two models.

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“…Hu [10] and Scheeres studied periodic orbits and other dynamic problems on the potential of second order and degree for more than ten years. Recently, Zeng et al [11] proposed a method to approximate the exterior potential distribution of naturally elongated bodies with the rotating mass dipole.…”

Section: Introductionmentioning

confidence: 99%

Periodic orbits in the Chermnykh problem

Zeng

Alfriend

2017

Astrodyn

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Periodic orbits in irregular gravitational fields are significant for an understanding of dynamical behaviors around asteroids as well as the engineering aspect for deep space explorations. The rotating mass dipole, referred to as the Chermnykh problem, is a good alternative model to study qualitative dynamical environments near elongated asteroids, like the asteroid 1620 Geographos, 216 Kleopatra, or 25143 Itokawa. In this paper a global searching method is adopted to search for periodic orbits around the dipole model

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Study on the connection between the rotating mass dipole and natural elongated bodies

Cited by 55 publications

References 32 publications

Stability and branching of stationary rotations in a planar problem of motion of mutually gravitating triangle and material point

Stability and branching of stationary rotations in a planar problem of motion of mutually gravitating triangle and material point

A particle-linkage model for elongated asteroids with three-dimensional mass distribution

Periodic orbits in the Chermnykh problem

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