• Title/Summary/Keyword: Orbital Mechanics

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Search for Dormant Comets in the Infrared Asteroidal Catalog

  • Kim, Yoonyoung;Ishiguro, Masateru;Usui, Fumihiko
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.1
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    • pp.67.2-67.2
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    • 2014
  • Comet nucleus is a solid body consisting of dark dust grains and ice. Cometary volatiles sublimate from subsurface layer by solar heating, leaving behind large dust grains on the surface. Eventually, the appearance could turn into asteroidal rather than cometary. It is, therefore, expected that there would be "dormant comets" in the list of known asteroids. Our research group has undertaken the research on the population of dormant comets. We applied a brand-new asteroidal catalog compiled from data garnered by three infrared astronomical observatories, AKARI, IRAS and WISE. We extracted objects which have comet-like orbits on the basis of their orbital properties (Tisserand parameters with respect to Jupiter, TJ, and aphelion distance, Q). We found that (1) there are a considerable number (>100) of asteroids in comet-like orbits, and (2) 80% of them have low albedo consistent with comets. This result suggest that these low albedo objects could be dormant comets. One unanticipated finding is that 20% of asteroids in comet-like orbit have high albedo similar to S-type asteroids. It is difficult to explain the population of S-type asteroids in comet-like orbits by the classical mechanics theory. We further found that these high-albedo objects are small (D < 2 km) bodies distributed in near-Earth space. We suggest that such high-albedo, small, near-Earth asteroids are susceptible to Yarkovsky effect and injected into comet-like orbits.

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Research on Applicability of Laser Ablation Propulsion to Space Debris Removal by Simulations (시뮬레이션을 통한 레이저 융삭 추진의 우주 쓰레기 제거 응용 가능성 연구)

  • Yoo, Seong-Moon;Lee, Seung-Min
    • Journal of the Korea Institute of Military Science and Technology
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    • v.25 no.2
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    • pp.169-176
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    • 2022
  • Laser ablation propulsion(LAP) is the method to create impulse by laser ablation. It can be used to deorbit the space debris(SD), as its long-range property and versatility on any material. In this paper, we find out several requirements of the LAP system(LAPS) to deorbit the SD by simple numerical calculations of the SD orbit and laser beam flux. As a result, minimum operable altitude angle turned out to be a crucial variable to the LAPS. Moreover, if minimum operable altitude angle is 10°, and if the minimum distance between the LAPS and the SD is below 450 km, 1 m/s2 is sufficient to deorbit the SD by once. With 18 kJ/3 ns pulsed laser and cube shaped 100 kg SD, 1 m/s2 acceleration can be achieved by increasing the pulse repetition rate over 34~53 Hz, depending on the size of the SD. This capability could compare with the conceptual design of the Japan Establishment for a Power-laser Community Harvest(J-EPoCH) facility, which include 8 kJ, 5 PW@100 Hz laser.

Theoretical Investigation on the Structure, Detonation Performance and Pyrolysis Mechanism of 4,6,8-Trinitro-4,5,7,8-tetrahydro -6H-furazano[3,4-f]-1,3,5-triazepine

  • Li, Xiao-Hong;Zhang, Rui-Zhou;Zhang, Xian-Zhou
    • Bulletin of the Korean Chemical Society
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    • v.35 no.5
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    • pp.1479-1484
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    • 2014
  • Based on the full optimized molecular geometric structures at B3LYP/cc-pvtz method, a new designed compound, 4,6,8-trinitro-4,5,7,8-tetrahydro-6H-furazano[3,4-f ]-1,3,5-triazepine was investigated in order to look for high energy density compounds (HEDCs). The analysis of the molecular structure indicates that the seven-membered ring adopts chair conformation and there exist intramolecular hydrogen bond interactions. IR spectrum and heat of formation (HOF) were predicted. The detonation velocity and pressure were evaluated by using Kamlet-Jacobs equations based on the theoretical density and condensed HOF. The bond dissociation energies and bond orders for the weakest bonds were analyzed to investigate the thermal stability of the title compound. The results show that $N_1-N_6$ bond is the trigger bond. The crystal structure obtained by molecular mechanics belongs to $Pna2_1$ space group, with lattice parameters Z = 4, a = 15.3023 ${\AA}$, b = 5.7882 ${\AA}$, c = 11.0471 ${\AA}$, ${\rho}=2.06gcm^{-3}$. In addition, the analysis of frontier molecular orbital shows the title compound has good stability and high chemical hardness.

Titius-Bode's Relation and Distribution of Exoplanets

  • Chang, Heon-Young
    • Journal of Astronomy and Space Sciences
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    • v.27 no.1
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    • pp.1-10
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    • 2010
  • The distance distribution in our planetary system has been a controversial matter. Two kinds of important issues on Titius-Bode's relation have been discussed up to now: one is if there is a simple mathematical relation between distances of natural bodies orbiting a central body, and the other is if there is any physical basis for such a relation. We have examined, by applying it to exo-planetary systems, whether Titius-Bode's relation is exclusively applicable to our solar system. We study, with the $X^2$ test, the distribution of period ratios of two planets in multiple planet systems by comparing it with that derived from not only Titius-Bode's relation but also other forms of it. The $X^2$ value between the distribution of the orbital period derived from Titius-Bode's relation and that observed in our Solar system is 12.28 (dof=18) with high probability, i.e., 83.3 %. The value of $X^2$ and probability resulted from Titius-Bode's relation and observed exo-planetary systems are 21.38 (dof=26) and 72.2 %, respectively. Modified forms we adopted seem also to agree with the planetary system as favorably as Titius-Bode's relation does. As a result, one cannot rule out the possibility that the distribution of the ratio of orbiting periods in multiple planet systems is consistent with that derived from Titius-Bode's relation. Having speculated Titius-Bode's relation could be valid in exo-planetary systems, we tentatively conclude it is unlikely that Titius-Bode's relation explains the distance distribution in our planetary system due to chance. Finally, we point out implications of our finding.

Mission-based Operational Orbit Design for Sun-synchronous Spacecraft (임무기반 태양동기궤도 운영궤도 설계에 관한 연구)

  • Lee, Ji-Marn;No, Tae-Soo;Jung, Ok-Chul;Chung, Dae-Won
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.9
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    • pp.752-759
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    • 2012
  • This paper presents a mission orbit design method for spacecraft which use the sun-synchronous and ground repeat orbits. In this work, we have proposed a new design procedure, "Nonlinear simulation-based numerical optimization technique" using the commercial S/W's such as STK (Satellite Tool kit) and Matlab, which are widely adopted S/W's in the area of orbital mechanics and engineering analysis. Inclusion of all the perturbation effects on the spacecraft not only can more precisely satisfy the mission requirements for sun-synchronicity and repeated ground track, and also operational requirements such as minimum change in the S/C local time, maximization of the contact time with a specified ground station, etc. can be appropriately considered. Design examples for LEO sun-synchronous mission are presented to demonstrate the usefulness of the proposed method in this paper.

Carbonylative Cyclization of Unsaturated Carboxylic Acids by Palladium Complexes with Phosphines [III] Palladium (0, II)-Phosphine Complexes Catalyzed Cabonylation of Unsaturated Carboxylic Acids and It's Theoretical Studies (포스핀류가 배위된 팔라듐 착물에 의한 불포화카르복실산의 카르보닐화 고리반응 (제 3 보). 팔라듐 (0, II)-포스핀계 착물에 의한 불포화카르복실산의 카르보닐화 반응 및 그의 이론적 연구)

  • Myung-Ki Doh;Bong-Gon Kim;Maeng-Jun Jung;Young-Dae Song;Park Byung-Kak
    • Journal of the Korean Chemical Society
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    • v.37 no.10
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    • pp.903-909
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    • 1993
  • Reaction mechanism of palladium(0, II)-phosphines complexes catalyzed cyclocarbonylation for unsaturated carboxylic acid such as crotonic acid, methacrylic acid and 3-butenoic acid has been investigated by product analysis, molecular mechanics and extended Huckel molecular orbital method. Reaction of 3-butenoic acid with palladium(0, II)-phosphines catalyst gives palladium containing cycloester through intermediate palladium-olefin ${\pi}$ -complex in the catalytic carbonylation. Palladium(0, II)-phosphines complexes catalyze the cyclocarbonylation of 3-butenoic acid to give 3-methylsuccinic anhydride and glutaric anhydride. But ${\pi}$ -complexes with palladium(0, II)-phosphines and unsaturated carboxylic acids such as crotonic acid and methacrylic acid are not effective the catalytic cyclocarbonylation.

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Carbonylative Cyclization of Unsaturated Carboxylic Acids by Palladium Complexes with Phosphines(II) Theoretical Studies on Palladium(0, II) Complexes of Unsaturated Carboxylic Acids (포스핀류가 배위된 팔라듐 착물에 의한 불포화카르복실산의 카르보닐화고리 반응 (제 2 보). 불포화카르복실산이 배위된 팔라듐 (0, II) 착물에 관한 이론적 연구)

  • Doh Myung-Ki;Bong-Gon Kim;Maeng-Jun Jung;Young-Dae Song;Byung-Kak Park
    • Journal of the Korean Chemical Society
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    • v.37 no.4
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    • pp.431-441
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    • 1993
  • The structure and reactivity of ${\pi}$-and metallacycle form in the bis(trimethylphosphine) palladium(0) complexes with acrylic acid, methacrylic acid, crotonic acid(A group) and 3-butenoic acid, 4-pentenoic acid(B group) have been investigated by Molecular Mechanics and Extended Huckel Molecular Orbital method. The calculation shows that A groups with large value of frontier electron density of HOMO and LUMO produce $\pi-complexes$ instead of metallacycle. But B groups with small value of frontier electron density of LUMO, especially 3-butenoic acid, form stable metallacycle. Moreover the methyl-substituted five-membered compared with the six-membered metallacycle is energetically stable conformation.

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In Newton's proof of the inverse square law, geometric limit analysis and Educational discussion (Newton의 역제곱 법칙 증명에서 기하학적 극한 분석 및 교육적 시사점)

  • Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.24 no.2
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    • pp.173-190
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    • 2021
  • This study analyzed the proof of the inverse square law, which is said to be the core of Newton's , in relation to the geometric limit. Newton, conscious of the debate over infinitely small, solved the dynamics problem with the traditional Euclid geometry. Newton reduced mechanics to a problem of geometry by expressing force, time, and the degree of inertia orbital deviation as a geometric line segment. Newton was able to take Euclid's geometry to a new level encompassing dynamics, especially by introducing geometric limits such as parabolic approximation, polygon approximation, and the limit of the ratio of the line segments. Based on this analysis, we proposed to use Newton's geometric limit as a tool to show the usefulness of mathematics, and to use it as a means to break the conventional notion that the area of the curve can only be obtained using the definite integral. In addition, to help the desirable use of geometric limits in school mathematics, we suggested the following efforts are required. It is necessary to emphasize the expansion of equivalence in the micro-world, use some questions that lead to use as heuristics, and help to recognize that the approach of ratio is useful for grasping the equivalence of line segments in the micro-world.