Equilibrium Points and Periodic Orbits in the Vicinity of Asteroids with an Application to 216 Kleopatra
TLDR
In this article, the authors investigated the linearized equations of motion relative to the equilibrium points and characteristic equations and found that the distribution of characteristic multipliers of periodic orbits around the equilibrium point correspond to each other.Abstract:
In this study, equilibrium points and periodic orbits in the potential field of asteroids are investigated. We present the linearized equations of motion relative to the equilibrium points and characteristic equations. We find that the distribution of characteristic multipliers of periodic orbits around the equilibrium point and the distribution of eigenvalues of the equilibrium point correspond to each other. The distribution of eigenvalues of the equilibrium point confirms the topology and the stability of periodic orbits around the equilibrium point.read more
Citations
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Collision and annihilation of relative equilibrium points around asteroids with a changing parameter
Yu Jiang,Hexi Baoyin,Hengnian Li +2 more
TL;DR: In this paper, a theorem concerning a conserved quantity, which is about the eigenvalues and number of relative equilibria, is presented and proved, and it is concluded that the number of non-degenerate equilibrium in the gravitational field of an asteroid varies in pairs and is an odd number.
Journal ArticleDOI
Dynamical configurations of celestial systems comprised of multiple irregular bodies
TL;DR: In this article, the main features of the nonlinear dynamics of multiple irregular celestial body systems are considered and three conservative values exist for this system, including a Jacobi integral, and the equilibrium conditions for the system are derived and their stability analyzed.
Journal ArticleDOI
Periodic motion near the surface of asteroids
Yu Jiang,Hexi Baoyin,Hengnian Li +2 more
TL;DR: In this paper, the periodic motion and bifurcations near the surface of an asteroid are studied and the periodic motions around the major body of triple asteroid 216 Kleopatra and the OSIRIS-REx mission target-asteroid 101955 Bennu are discussed.
Journal ArticleDOI
Surface motion relative to the irregular celestial bodies
Yu Jiang,Yun Zhang,Hexi Baoyin +2 more
TL;DR: In this paper, the authors study the motion and equilibria of the grains on the surface of the irregular celestial body (hereafter called irregular bodies), and derive the linearized equations of motion relative to a surface equilibrium point and its characteristic equations.
Journal ArticleDOI
Multiple bifurcations in the periodic orbit around Eros
Yanshuo Ni,Yu Jiang,Hexi Baoyin +2 more
TL;DR: In this paper, the multiple bifurcations in periodic orbit families in the potential field of a highly irregular-shaped celestial body were investigated, and the topological cases of periodic orbits and four kinds of basic bifurbation was studied.
References
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BookDOI
Introduction to mechanics and symmetry
TL;DR: A basic exposition of classical mechanical systems; 2nd edition Reference CAG-BOOK-2008-008 Record created on 2008-11-21, modified on 2017-09-27 as mentioned in this paper.
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Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia
TL;DR: In this paper, the exterior gravitation of a constant-density polyhedron is derived analytically in closed form, and expressions for potential, attraction, and gravity gradient matrix involve one logarithm term per edge and one arctangent term per face.
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Orbits Close to Asteroid 4769 Castalia
TL;DR: In this paper, the authors used a radar-derived physical model of 4769 Castalia (1989 PB) to investigate close orbit dynamics around that kilometer-sized, uniformly rotating asteroid.
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The gravitational potential of a homogeneous polyhedron or don't cut corners
TL;DR: In this paper, closed-form expressions for the exterior gravitational potential and acceleration components due to a constant-density polyhedron were developed, and an equipotential surface of Phobos was illustrated.
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Dynamics of Orbits Close to Asteroid 4179 Toutatis
TL;DR: In this article, the authors used a radar-derived physical model of 4179 Toutatis to investigate close-orbit dynamics around that irregularly shaped, non-principal-axis rotator.