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Modelling the Dynamics of a Probe in vicinity of EROSS-433 with a Fourth-Order Polynomial Density Profile


Affiliations
1 Quantum Physics and Magnetism Team LPMC, Faculty of Science Ben M’sik, Hassan II University, Bd Commandant Driss Al Harti, Casablanca, 20670, Morocco
 

In the present work, we study the motion of a probe in the gravitational field generated by an elongated geo-cruiser asteroid of irregular shape, which we model by an inhomogeneous mass distribution. We propose a model of inhomogeneous mass distribution with a symmetric polynomial density profile of order 4 and then establish the analytical expression of the gravitational potential generated by this segment. The Lagrangian formalism allowed us to establish the dynamic equations of motion of the probe in the gravitational field generated by this body, which we solved numerically.

Keywords

Potential; Gravitational; Asteroids; Inhomogenous; Distribution; Geocruiser
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  • Riaguas A, Elipe A, Lara M. Periodic orbits around a massive straight segment. Celest. Mech. Dyn. Astron. 1999;73(1-4):169-78.

  • Elipe A, Lara M. A simple model for the chaotic motion around (433) Eros. J. astronaut. sci. 2003;51:391-404.

  • Elipe A, Lara M. A simple model for the chaotic motion around (433) Eros. Adv. Astronaut. Sci. 2004;116:1-5.

  • Werner RA. The gravitational potential of a homogeneous polyhedron or don't cut corners. Celest. Mech. Dyn. Astron. 1994;59:253-78.

  • Werner RA, Scheeres DJ. Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia. Celest. Mech. Dyn. Astron. 1996;65:313-44.

  • Bartczak P, Breiter S. Double material segment as the model of irregular bodies. Celest. Mech. Dyn. Astron. 2003;86(2):131-41.

  • Bartczak P, Breiter S, Jusiel P. Ellipsoids, material points and material segments. Celest. Mech. Dyn. Astron. 2006;96:31-48.

  • Najid NE, Zegoumou M. Potential generated by a massive inhomogeneous straight segment. Res. Astron. Astrophys. 2011;11(3):345.

  • Najid NE, El Elourabi H. Equilibria and stability around a straight rotating segment with a parabolic profile of mass density. Open Astron. J. 2012;5(1).

  • Najid NE, Zegoumou M, El Elourabi H. Dynamical behavior in the vicinity of a circular anisotropic ring. Open Astron. J. 2012;5(1).

  • Romanov VA, Doedel EJ. Periodic orbits associated with the libration points of the homogeneous rotating gravitating triaxial ellipsoid. Int. J. Bifurc. Chaos. 2012;22(10):1230035.

  • Romanov VA, Doedel EJ. Periodic orbits associated with the libration points of the massive rotating straight segment. Int. J. Bifurc. Chaos. 2014;24(04):1430012.

  • Zeng X, Zhang Y, Yu Y, et al. The dipole segment model for axisymmetrical elongated asteroids. Astron. J. 2018;155(2):85.

  • Elipe A, Abad A, Ferreira AF. Dynamics of the Dipole-Segment with Equal Masses and Arbitrary Rotation. InRecent Trends Chaotic Nonlinear Complex Dyn. 2022:79-98.

  • Zhao Y, Yang H, Li S, et al. On-board modeling of gravity fields of elongated asteroids using Hopfield neural networks. Astrodynamics. 2023;7(1):101-14.


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  • Modelling the Dynamics of a Probe in vicinity of EROSS-433 with a Fourth-Order Polynomial Density Profile

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Authors

El haj El ourabi
Quantum Physics and Magnetism Team LPMC, Faculty of Science Ben M’sik, Hassan II University, Bd Commandant Driss Al Harti, Casablanca, 20670, Morocco
Mohamed Bennai
Quantum Physics and Magnetism Team LPMC, Faculty of Science Ben M’sik, Hassan II University, Bd Commandant Driss Al Harti, Casablanca, 20670, Morocco

Abstract


In the present work, we study the motion of a probe in the gravitational field generated by an elongated geo-cruiser asteroid of irregular shape, which we model by an inhomogeneous mass distribution. We propose a model of inhomogeneous mass distribution with a symmetric polynomial density profile of order 4 and then establish the analytical expression of the gravitational potential generated by this segment. The Lagrangian formalism allowed us to establish the dynamic equations of motion of the probe in the gravitational field generated by this body, which we solved numerically.

Keywords


Potential; Gravitational; Asteroids; Inhomogenous; Distribution; Geocruiser

References