The effect of secular resonances on the long-term orbital evolution of uncontrollable objects on satellite radio navigation systems in the MEO region

Bordovitsyna, T. V.; Tomilova, I. V.; Chuvashov, I. N.

doi:10.1134/s0038094612040016

Cited by 18 publications

(7 citation statements)

References 12 publications

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“…So, we can say that the particle is in vicinity of the resonances but is not captured by them. Mean motion resonance is unstable and may be reason of the chaotic motion (Chirikov, 1979, Bordovitsyna et. al, 2012, Bordovitsyna et.…”

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confidence: 99%

Analysis of the dynamical evolution of the Quadrantid meteoroid stream

Sambarov

Galushina

Syusina

2020

Planetary and Space Science

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We investigate numerically the dynamical evolution of simulated meteoroid stream of the Quadrantids ejected from the parent body of the asteroid (196256) 2003 EH1. The main goal of this work is to identify mean motion and secular resonances and to study the mutual influence of resonance relations and close encounters with the major planets. Since the dynamics of this asteroid is predictable only on short time intervals, and not only close and/or multiple close encounters with major planets, but also the presence of at least one unstable resonance can lead to chaotic motion of test particles, we studied their resonant dynamics. The dynamical evolution of the test particles expects possible scenario for resonant motion. We conjecture that the reasons of chaos are the overlap of stable secular resonances and unstable mean motions resonances and close and/or multiple close encounters with the major planets. The estimate of the stability of orbits in which the particles in simulations moved was carried out by analyzing the behavior of the parameter MEGNO (Mean Exponential Growth factor of Nearby Orbits). The larger part of the identified resonances is stable. We found a peculiar behavior for this stream. Here, we show that the orbits of some ejected particles are strongly affected by the Lidov-Kozai mechanism that protects them from close encounters with Jupiter. Lack of close encounters with Jupiter leads to a rather smooth growth in the parameter MEGNO and the behavior imply the stable motion of simulation particles of the Quadrantids meteoroid stream.

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confidence: 99%

Analysis of the dynamical evolution of the Quadrantid meteoroid stream

Sambarov

Galushina

Syusina

2020

Planetary and Space Science

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“…As known (Murray and Dermott, 2009), the perturbing function describing the effect of the third body on an asteroid can be expressed in terms of orbit elements as follows (Bordovitsyna et. al., 2012):…”

Section: Algorithm For Identifying the Apsidal-nodal Resonancesmentioning

confidence: 99%

The dynamical evolution and the force model for asteroid (196256) 2003 EH1

Galushina

Sambarov

2017

Planetary and Space Science

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This paper is devoted to the dynamics of asteroid (196256) 2003 EH1 that belongs to the Amor group. It is known that the asteroid 2003 EH1 is associated with one of the main annual meteor showersthe Quadrantids. In this work we analyze the influence of various perturbing factors on the asteroid motion. The perturbation's estimation was done by five different methods based on the nominal orbit evolution and the size of the initial confidence region. The most significant influences on the dynamical evolution of 2003 EH1 are gravitational forces from the Sun, major planets and the Moon, and the relativistic effects (RE) of the Sun. Of less importance are the Earth, the Sun and Jupiter oblateness; gravitational perturbations from Pallas, Ceres, Vesta and Pluto; and the RE of planets, the Moon, and Pluto.The researches of chaoticity and evolution of asteroid 2003 EH1 were examined by integrating its motion equations along with 500 clones. The time interval (1000-4000 years) has been determined by integration precision estimation. We calculated the mean exponential growth factor of nearby orbits (MEGNO) and found that MEGNO < 2 only in the interval 1700-2300. After 2300 year the MEGNO parameter increases that indicates motion instability. It shows that the orbit may be considered as regular on the time interval of ±300 years from now, and as chaotic outside this interval. The reason, as we suppose, is frequent close approaches of the asteroid with Jupiter and the overlap of apsidal-nodal resonances.

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“…Allan and Cook (1964) warned that circular motion may be unstable for some inclinations due to the Kozai-Lidov effect or luni-solar resonance in general (Breiter 2001). Recently, a series of papers showed that the eccentricity of the orbits for Global Navigation Satellite System (GNSS) may increase exponentially (Chao and Gick 2004;Bordovitsyna et al 2012). Through theo-retical calculations and numerical verifications for the Chinese BeiDou Inclined Geosynchronous Earth Orbit (IGSO), we found that the eccentricity of the nearcircular IGSO satellite with an initial inclination not larger than 32 • can always remain small in the longterm evolution, and the initial Right Ascension of the Ascending Node (RAAN) can affect the eccentricity too (Zhao et al 2015).…”

Section: Chang-yin Zhaomentioning

confidence: 99%

Analytic model for the long-term evolution of circular Earth satellite orbits including lunar node regression

Zhu

Zhao

Zhang

2017

Astrophys Space Sci

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This paper aims to obtain an analytic approximation to the evolution of circular orbits governed by the Earth's J 2 and the luni-solar gravitational perturbations. Assuming that the lunar orbital plane coincides with the ecliptic plane, Allan and Cook (1964) derived an analytic solution to the orbital plane evolution of circular orbits. Using their result as an intermediate solution, we establish an approximate analytic model with lunar orbital inclination and its node regression be taken into account. Finally, an approximate analytic expression is derived, which is accurate compared to the numerical results except for the resonant cases when the period of the reference orbit approximately equals the integer multiples (especially 1 or 2 times) of lunar node regression period.

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The effect of secular resonances on the long-term orbital evolution of uncontrollable objects on satellite radio navigation systems in the MEO region

Cited by 18 publications

References 12 publications

Analysis of the dynamical evolution of the Quadrantid meteoroid stream

Analysis of the dynamical evolution of the Quadrantid meteoroid stream

The dynamical evolution and the force model for asteroid (196256) 2003 EH1

Analytic model for the long-term evolution of circular Earth satellite orbits including lunar node regression

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