FUNKCIJA RASTOJANJA MALIH PLANETA I RAČUN PROKSIMITETA

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FUNKCIJA RASTOJANJA MALIH PLANETA I RAČUN PROKSIMITETA

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dc.contributor.advisor Šegan, Stevo
dc.contributor.author Milisavljević, R. Slaviša
dc.date.accessioned 2013-03-04T09:37:57Z
dc.date.available 2013-03-04T09:37:57Z
dc.date.issued 2013-03-01
dc.identifier.uri http://hdl.handle.net/123456789/2490
dc.description.abstract The problem of the minimal mutual distances for two confocal elliptical orbits (local minima), in the literature known as the proximity calculation for minor planets and recognised recently as Minimal Orbit Intersection Distance – MOID, occupies a very important place in astronomical studies, not only because of the prediction of possible collisions of asteroids and other celestial bodies, but also because of the fact that by analysing the behaviour of asteroids during their encounters it is possible to determine their masses, changes of orbital elements and other important characteristics. Dealing with this problem in this thesis the author has analysed the distance function for two elliptical confocal orbits of minor planets combining analytical and numerical methods for proximity calculation. A survey of all relevant results in this field from the middle of the XIX century till our days indicates that the problem has been transformed from looking for a solution of two transcendental equations by applying various methods and approximations of long duration towards efficient and rapid solutions of vector equations of the system which describes the problem. In the thesis a simple and efficient analytic-numerical method has been developed, presented and applied. It finds out all the minima and maxima in the distance function and, indirectly, makes it possible to determine also the inflection points. The method is essentially based on Simovljevic’s (1974) graphical interpretation and on transcendental equations developed by Lazovic (1993). The present method has been examined on almost three million pairs of real elliptical asteroid orbits and its possibilities and the computation results have been compared to the algebraic solutions given by Gronchi (2005). The case of a pair of confocal orbits with four proximities found by Gronchi (2002), who applied the method of random samples and carried out numerous simulations with different values of orbital elements, gave the motivation to try here to find out such a pair among the real pairs of asteroid orbits. Thanks to the efficacy of the method developed in the thesis two such pairs have been found and their parameters are presented. In addition to the one meantioned above a further analysis of distance function through simulations including more than 20 million different pairs of asteroid orbits has resulted in several additional interesting solutions of the distance function. The results are given in the form of tables and plots showing the diversity of solutions for the distance function. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2013-03-04T09:37:57Z No. of bitstreams: 1 PhD_Slavisa_Milisavljevic.pdf: 3722176 bytes, checksum: 48dbfda8ba19cca6678040f7bb5caea2 (MD5) en
dc.description.provenance Made available in DSpace on 2013-03-04T09:37:57Z (GMT). No. of bitstreams: 1 PhD_Slavisa_Milisavljevic.pdf: 3722176 bytes, checksum: 48dbfda8ba19cca6678040f7bb5caea2 (MD5) Previous issue date: 2013-03-01 en
dc.language.iso sr en_US
dc.publisher Belgrade en_US
dc.title FUNKCIJA RASTOJANJA MALIH PLANETA I RAČUN PROKSIMITETA en_US
mf.author.birth-date 1967-01-08
mf.author.birth-place Zemun en_US
mf.author.birth-country Serbia en_US
mf.author.residence-state Serbia en_US
mf.author.citizenship Serbian en_US
mf.author.nationality Serbian en_US
mf.subject.area Astronomy en_US
mf.subject.keywords Minor planets, Asteroids, Distance function, Proximities, MOID en_US
mf.subject.subarea Celestial Mechanics en_US
mf.contributor.committee Šegan, Stevo
mf.contributor.committee Kuzmanoski, Mike
mf.contributor.committee Knežević, Zoran
mf.university.faculty Mathematical en_US
mf.document.references 39 en_US
mf.document.pages 70 en_US
mf.document.location Belgrade en_US
mf.document.genealogy-project No en_US
mf.author.parent Radoje en_US
mf.university Belgrade en_US

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