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In this work, the orbital evolution of these objects that are located in the geostationary orbit (GEO) is analyzed. Knowing this, the possibility of using a solar sail is considered to help to clean the space environment. The main natural…

Earth and Planetary Astrophysics · Physics 2023-07-26 Jean Paulo dos S. Carvalho , Rodolpho Vilhena de Moraes , Antonio Fernando Bertachini de A. Prado

Despite the large amount of high quality data generated in recent space encounters with asteroids, the majority of our knowledge about these objects comes from ground based observations. Asteroids travelling in orbits that are potentially…

Earth and Planetary Astrophysics · Physics 2017-05-17 T. Santana-Ros , G. Dudziński , P. Bartczak

We investigate the qualitative characteristics of a test particle attracted to an irregular elongated body, modeled as a non-homogeneous straight segment with a variable linear density. By deriving the potential function in closed form, we…

Dynamical Systems · Mathematics 2024-11-22 E. Martínez , J. Vidarte , J. L. Zapata

Tumbling asteroids belong to a small group of objects, whose angular velocity vector is unaligned with any of its principal axes of inertia. This leads to challenging efforts to model the trajectory of any spacecraft designed to orbit these…

Earth and Planetary Astrophysics · Physics 2021-05-31 S. Aljbaae , J. Souchay , V. Carruba , D. M. Sanchez , A. F. B. A. Prado

When an asteroid has a few observations over a short time span the information contained in the observational arc could be so little that a full orbit determination may be not possible. One of the methods developed in recent years to…

Optimization and Control · Mathematics 2020-11-11 A. Del Vigna

A fundamental aspect of the three-body problem is its stability. Most stability studies have focused on the co-planar three-body problem, deriving analytic criteria for the dynamical stability of such pro/retrograde systems. Numerical…

Earth and Planetary Astrophysics · Physics 2016-12-02 Evgeni Grishin , Hagai B. Perets , Yossef Zenati , Erez Michaely

Asteroid shape inversion using photometric data has been a key area of study in planetary science and astronomical research.However, the current methods for asteroid shape inversion require extensive iterative calculations, making the…

Earth and Planetary Astrophysics · Physics 2025-04-02 YiJun Tang , ChenChen Ying , ChengZhe Xia , XiaoMing Zhang , XiaoJun Jiang

Applying the method of analytical continuation of periodic orbits, we study quasi-satellite motion in the framework of the three-body problem. In the simplest, yet not trivial model, namely the planar circular restricted problem, it is…

Earth and Planetary Astrophysics · Physics 2018-09-13 G. Voyatzis , K. I. Antoniadou

In this paper, a surface geometric constraint approach is used in designing the orbits of a solar sail. We solve the solar sail equation of motion by obtaining a generalized Laplace-Runge-Lenz (LRL) vector with the assumption that the cone…

Instrumentation and Methods for Astrophysics · Physics 2023-05-03 Jeric Garrido , Jose Perico Esguerra

In this paper the planar orbit and attitude dynamics of an uncontrolled spacecraft is studied, taking on-board a deorbiting device. Solar and drag sails with the same shape are considered and separately studied. In both cases, these devices…

Earth and Planetary Astrophysics · Physics 2019-07-17 Narcís Miguel , Camilla Colombo

In this article, theory-based analytical methodologies of astrophysics employed in the modern era are suitably operated alongside a test research-grade telescope to image and determine the orbit of a near-earth asteroid from original…

Earth and Planetary Astrophysics · Physics 2021-09-16 Muhammad Farae , Cameron Woo , Anka Hu

We discuss the equilibrium conditions for a body made of two homogeneous components separated by oblate spheroidal surfaces and in relative motion. While exact solutions are not permitted for rigid rotation (unless a specific ambient…

Solar and Stellar Astrophysics · Physics 2022-04-13 Jean-Marc Huré

This paper presents transition of the failure mode of a cohesive, spherical body due to YORP spin-up. On the assumption that the distribution of materials in the body is homogeneous, failed regions first appearing in the body at different…

Earth and Planetary Astrophysics · Physics 2015-10-21 Masatoshi Hirabayashi

In this article, equilibrium points and families of periodic orbits in the vicinity of the collinear equilibrium points of a binary asteroid system are investigated with respect to the angular velocity of the secondary body, the mass ratio…

Earth and Planetary Astrophysics · Physics 2023-07-26 L. B. T. Santos , Allan Kardec de Almeida , P. A. Sousa-Silva , M. O. Terra , D. M. Sanchez , S. Aljbaae , A. F. B. A. Prado , F Monteiro

We study the effect of the radiation parameter in the location, stability and orbital dynamics in the Lagrange configuration of the restricted four-body problem when one of the primaries is a radiating body. The equations of motion for the…

Chaotic Dynamics · Physics 2020-06-22 J. E. Osorio-Vargas , F. L. Dubeibe , Guillermo A. González

We study the dynamics in the neighborhood of the collinear Lagrangian points in the spatial, circular, restricted three--body problem. We consider the case in which one of the primaries is a radiating body and the other is oblate (although…

Dynamical Systems · Mathematics 2015-02-03 Sara Bucciarelli , Marta Ceccaroni , Alessandra Celletti , Giuseppe Pucacco

To deflect impact-trajectory of massive km^3 and spinning asteroid by a few terrestrial radius one need a large momentum exchange. The dragging of huge spinning bodies in space by external engine seems difficult or impossible. Our solution…

Astrophysics · Physics 2008-03-11 D. Fargion

The research about asteroids attracts more and more attention recently, especially focusing on their physical structures, such as the spin axis, the rotation period and the shape. The long distance between Earth observers and asteroids…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Xiaoping Lu , Haibin Zhao , Zhong You

Stability of Hilda Asteroids in the solar system around the 3:2 resonance point is analyzed in terms of the Sun-Jupiter-asteroid elliptic restricted three-body problem. We show that the Hamiltonian of the system is well-approximated by a…

Earth and Planetary Astrophysics · Physics 2024-09-10 Kosuke Asano , Kenichi Noba , Tomio Petrosky

Hamiltonian normal forms allow for the analytical approximation of center manifold trajectories and their invariant manifolds through the separation of the saddle and center subspaces that make up the dynamics at the collinear libration…

Space Physics · Physics 2025-12-04 Carson Hunsberger , David Schwab , Roshan Eapen , Puneet Singla