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Marcelo L. Mota

Publications and source records attributed to Marcelo L. Mota.

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GravDyn: A Python Framework for Gravitational Modeling of Irregular Celestial Bodies Using Polyhedral, mascon, and Series Expansion Methods

GravDyn is an open-source Python package for computing gravitational potentials and accelerations around irregular celestial bodies. It implements three approaches within the same workflow: the constant-density polyhedral method, a layered mascon approximation based on tetrahedral decomposition, and the Potential Series Expansion Method (PSEM). The package handles shape-model preprocessing, builds the selected gravity representation, and evaluates potentials and accelerations efficiently. The three implemented methods serve different regimes: the polyhedral model provides a reference solution near the surface, the mascon model supports layered internal density structures, and PSEM offers fast evaluation outside the Brillouin sphere once the polynomial coefficients have been generated. Validation tests against the polyhedral solution show that the mascon and PSEM models reproduce the reference potential with small relative errors while reducing evaluation costs. GravDyn is intended for mission design and studies of spacecraft motion, orbital stability, and gravitational modeling around asteroids and other small bodies.

astro-ph.EP

Analytical modeling of the gravitational potential of irregularly shaped celestial bodies considering three distinct internal structures: application to (21) Lutetia

The classical polyhedral model is one of the most accurate methods currently used to represent the gravitational field of irregularly shaped bodies. However, it assumes a homogeneous density distribution, which may not accurately reflect the internal composition of real objects. This study aims to analyze the effects of the internal structure of asteroid (21) Lutetia on gravitational potential modeling by considering a three-layered composition with distinct densities. The gravitational approach adopted in this study is the Potential Series Expansion Method (PSEM), represents models the body as a polyhedron and decomposes it into tetrahedral elements to estimate of the total potential around the asteroid. This estimation involves summing the contributions of each tetrahedron using a direct triple integral over its volume. Although this method does not achieve the same level of accuracy as the classical polyhedral approach, it offers a reasonable degree of precision, expresses the potential in analytical form, significantly reduces computational time, and, due to the simplified algebraic manipulation of the potential, facilitates the analysis of the asteroid's internal structural composition.

astro-ph.EP