NASA DART mission: A preliminary mathematical dynamical model and its nonlinear circuit emulation

IF 2.4 Q2 ENGINEERING, MECHANICAL Nonlinear Engineering - Modeling and Application Pub Date : 2023-01-01 DOI:10.1515/nleng-2022-0314
A. Buscarino, Carlo Famoso, Luigi Fortuna, Giuseppe La Spina
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Abstract

Abstract On September 22, 2022, a spacecraft, designed by the Double Asteroid Redirection Test (DART) team, successfully attempted to deflect the orbit of the asteroid Dimorphos, which together with Didymos, constitutes a binary system of near-Earth asteroids orbiting around the Sun. The effect of the impact of the spacecraft was to shorten the orbit of Dimorphos of about 33 min with respect to the original one. In this communication, a simple nonlinear circuit emulator based on a mathematical model allowing the emulation of the DART mission behavior is presented. The modeling is approached referring to the Kepler problem that leads to a highly nonlinear dynamical model. The problem is approached numerically, by using appropriate integration algorithms for both the two-body and three-body formulations of the problem, and experimentally, by means of an analog/digital electronic circuit emulator of the system that allows us to realize faster and qualitative more efficient experiments.
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NASA DART任务:初步数学动力学模型及其非线性电路仿真
2022年9月22日,由双小行星重定向测试(DART)团队设计的航天器成功地改变了小行星Dimorphos的轨道,Didymos和Dimorphos共同构成了一个绕太阳运行的近地小行星双星系统。飞船撞击的效果是使Dimorphos的轨道相对于原来的轨道缩短了大约33分钟。在这个通信中,一个简单的非线性电路仿真器基于数学模型,允许模拟DART任务行为。建模方法参照了导致高度非线性动力学模型的开普勒问题。通过对问题的二体和三体公式使用适当的积分算法,在数值上解决了这个问题;在实验上,通过系统的模拟/数字电子电路模拟器,使我们能够实现更快、定性更有效的实验。
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来源期刊
CiteScore
6.20
自引率
3.60%
发文量
49
审稿时长
44 weeks
期刊介绍: The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.
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