{"id":{"repo_id":"greece","oai_identifier":"oai:10442/1388"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/1388","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΛΥΣΕΙΣ ΙΣΟΡΡΟΠΙΑΣ ΚΑΙ ΕΥΣΤΑΘΕΙΑ ΣΕ ΤΡΟΧΙΕΣ ΑΣΤΕΡΟΕΙΔΩΝ ΥΠΟ ΤΗΝ ΕΠΙΔΡΑΣΗ ΑΙΩΝΙΩΝ ΠΑΡΕΛΞΕΩΝ","abstract":"IN THIS THESIS, WE STUDY THE SECULAR VARIATIONS IN THE RESTRICTED THREE BODY AND, PROPERLY IN THE MODEL SUN-JUPITER- ASTEROID. WE TAKE THE SECULAR PART OF THEDISTURBING FUNCTION UP TO THE FOURTH ORDER WITH RESPECT TO THE ECCENTRICITY AND THE INCLINATION TERMS. WE DEVELOP AN EXPLICIT NUMERICAL METHOD WHICH CONSIST IN A SYSTEMATIC SCANNING OF THE A-H PLANE WHERE A DENOTES THE SEMIMAJOR AXIS AND H STANDS FOR THE DELAUNAY VARIABLE. WE LOCALIZE THE EQUILIBRIUM SOLUTIONS, ASSIGNED TO A PARTICULAR POINT (A-H) OF THE A-H PLANE, AS ROOTS OF A SYSTEM OF TWO NON- LINEAR ALGEBRAIC EQUATIONS. WE THEN DISTINGUISH THE \"ACCEPTABLE EQUILIBRIUM SOLUTIONS\", (AES). NEXT, WE STUDY THE STABILITY OF THE AES. THE STABILITY ANALYSIS REQUIRED FOR THE HIGHER ORDER TERMS OF OUR EQUATIONS SEEMS TO PRESENT GREAT DIFFICULTIES WHEN VIEWED ACCORDING TO LIAPOUNOV'S METHODOLOGY. THEREFORE, WE DEVELOP AN \"EXPLICIT NUMERICAL STABILITY- ANALYSIS TECHNIQUE\" WHICH FITS THEFRAMEWORK OF THE PREVIOUS NUMERICAL STRATEGY VERY WELL. WE THEN USE SIXTH-ORDER EXPANSIONS OF THE DISTURBING FUNCTION IN STUDYING BOTH EQUILIBRIUM SOLUTIONS AND STABILITY, BY THE FOREGOING NUMERICAL METHODS. COMPARING THE RESULTS OF THEFOURTH AND THE SIXTH-ORDER THEORIES, WE NOTICE AN INCREASED NUMBER OF THE SIXTH- ORDER AES. ON THE CONTRARY, THE NUMBER OF \"STABLE\" AES DIMINISHES. IN CONCLUSION, THE SIXTH-ORDER THEORY LEADS TO A DETAILED TOPOGRAPHY OF THE A-H PLANE WITH RESPECT TO THE STABILITY-INSTABILITY\" OF THE LOCALIZED AES. SIMILARLY, WE FIND AN UPWARDS EXTREMUM IN THE VALUES OF THE MAXIMUM STABLE INCLINATION (TABLE II) FOR VALUES OF THE SEMI-MAJOR AXIS A BETWEEN 0.40 AND 0.45. APPARENTLY, THIS EXTREMUM EXCEEDS THE VALUE 45 FOR THE INCLINATION I. IN FACT, WHEN TAKING THE SYSTEM SUN-JUPITER-ASTEROID, THIS REGION CORRESPONDS TO THE REGION OF ASTEROIDS WITH LARGE ORBITAL INCLINATIONS. IT SEEMS, THEREFORE, THAT THESE ASTEROIDS WILLBE ON THEIR ORBITS FOR A \"LONG-TIME PERIOD\".","abstract_html":"IN THIS THESIS, WE STUDY THE SECULAR VARIATIONS IN THE RESTRICTED THREE BODY AND, PROPERLY IN THE MODEL SUN-JUPITER- ASTEROID. WE TAKE THE SECULAR PART OF THEDISTURBING FUNCTION UP TO THE FOURTH ORDER WITH RESPECT TO THE ECCENTRICITY AND THE INCLINATION TERMS. WE DEVELOP AN EXPLICIT NUMERICAL METHOD WHICH CONSIST IN A SYSTEMATIC SCANNING OF THE A-H PLANE WHERE A DENOTES THE SEMIMAJOR AXIS AND H STANDS FOR THE DELAUNAY VARIABLE. WE LOCALIZE THE EQUILIBRIUM SOLUTIONS, ASSIGNED TO A PARTICULAR POINT (A-H) OF THE A-H PLANE, AS ROOTS OF A SYSTEM OF TWO NON- LINEAR ALGEBRAIC EQUATIONS. WE THEN DISTINGUISH THE "ACCEPTABLE EQUILIBRIUM SOLUTIONS", (AES). NEXT, WE STUDY THE STABILITY OF THE AES. THE STABILITY ANALYSIS REQUIRED FOR THE HIGHER ORDER TERMS OF OUR EQUATIONS SEEMS TO PRESENT GREAT DIFFICULTIES WHEN VIEWED ACCORDING TO LIAPOUNOV'S METHODOLOGY. THEREFORE, WE DEVELOP AN "EXPLICIT NUMERICAL STABILITY- ANALYSIS TECHNIQUE" WHICH FITS THEFRAMEWORK OF THE PREVIOUS NUMERICAL STRATEGY VERY WELL. WE THEN USE SIXTH-ORDER EXPANSIONS OF THE DISTURBING FUNCTION IN STUDYING BOTH EQUILIBRIUM SOLUTIONS AND STABILITY, BY THE FOREGOING NUMERICAL METHODS. COMPARING THE RESULTS OF THEFOURTH AND THE SIXTH-ORDER THEORIES, WE NOTICE AN INCREASED NUMBER OF THE SIXTH- ORDER AES. ON THE CONTRARY, THE NUMBER OF "STABLE" AES DIMINISHES. IN CONCLUSION, THE SIXTH-ORDER THEORY LEADS TO A DETAILED TOPOGRAPHY OF THE A-H PLANE WITH RESPECT TO THE STABILITY-INSTABILITY" OF THE LOCALIZED AES. SIMILARLY, WE FIND AN UPWARDS EXTREMUM IN THE VALUES OF THE MAXIMUM STABLE INCLINATION (TABLE II) FOR VALUES OF THE SEMI-MAJOR AXIS A BETWEEN 0.40 AND 0.45. APPARENTLY, THIS EXTREMUM EXCEEDS THE VALUE 45 FOR THE INCLINATION I. IN FACT, WHEN TAKING THE SYSTEM SUN-JUPITER-ASTEROID, THIS REGION CORRESPONDS TO THE REGION OF ASTEROIDS WITH LARGE ORBITAL INCLINATIONS. IT SEEMS, THEREFORE, THAT THESE ASTEROIDS WILLBE ON THEIR ORBITS FOR A "LONG-TIME PERIOD".","abstract_has_math":false,"creators":["Φλογαΐτη, Αικατερίνη"],"institution":"University of Patras","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1990,"date_issued":"1990","date_published":"1990","updated_at":"2026-07-24T02:24:52Z","subjects":["ΑΙΩΝΙΕΣ ΠΑΡΕΛΞΕΙΣ","Ευστάθεια τροχιών","ΘΕΣΕΙΣ ΙΣΟΡΡΟΠΙΑΣ","ΜΕΤΑΒΛΗΤΕΣ DELAUNAY","ΠΑΡΕΛΚΤΙΚΗ ΣΥΝΑΡΤΗΣΗ","Περιορισμένο πρόβλημα τριών σωμάτων","ΤΡΟΧΙΕΣ ΑΣΤΕΡΟΕΙΔΩΝ","DELAUNAY'S VARIABLES","DISTURBING FUNCTION","EQUILIBRIUM SOLUTIONS","Orbits of asteroids","Restricted three body problem","Secular variations","STABILITY OFORBITS","Φυσικές Επιστήμες","Φυσική","Natural Sciences","Physical Sciences"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1388"],"render_values":[{"text":"10.12681/eadd/1388","href":"https://doi.org/10.12681/eadd/1388","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/1388","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Φλογαΐτη, Αικατερίνη"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1990"]},{"key":"dc:publisher","label":"Institution","values":["University of Patras","Πανεπιστήμιο Πατρών"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ΑΙΩΝΙΕΣ ΠΑΡΕΛΞΕΙΣ","Ευστάθεια τροχιών","ΘΕΣΕΙΣ ΙΣΟΡΡΟΠΙΑΣ","ΜΕΤΑΒΛΗΤΕΣ DELAUNAY","ΠΑΡΕΛΚΤΙΚΗ ΣΥΝΑΡΤΗΣΗ","Περιορισμένο πρόβλημα τριών σωμάτων","ΤΡΟΧΙΕΣ ΑΣΤΕΡΟΕΙΔΩΝ","DELAUNAY'S VARIABLES","DISTURBING FUNCTION","EQUILIBRIUM SOLUTIONS","Orbits of asteroids","Restricted three body problem","Secular variations","STABILITY OFORBITS","Φυσικές Επιστήμες","Φυσική","Natural Sciences","Physical Sciences"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1388","http://hdl.handle.net/10442/hedi/1388"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["IN THIS THESIS, WE STUDY THE SECULAR VARIATIONS IN THE RESTRICTED THREE BODY AND, PROPERLY IN THE MODEL SUN-JUPITER- ASTEROID. WE TAKE THE SECULAR PART OF THEDISTURBING FUNCTION UP TO THE FOURTH ORDER WITH RESPECT TO THE ECCENTRICITY AND THE INCLINATION TERMS. WE DEVELOP AN EXPLICIT NUMERICAL METHOD WHICH CONSIST IN A SYSTEMATIC SCANNING OF THE A-H PLANE WHERE A DENOTES THE SEMIMAJOR AXIS AND H STANDS FOR THE DELAUNAY VARIABLE. WE LOCALIZE THE EQUILIBRIUM SOLUTIONS, ASSIGNED TO A PARTICULAR POINT (A-H) OF THE A-H PLANE, AS ROOTS OF A SYSTEM OF TWO NON- LINEAR ALGEBRAIC EQUATIONS. WE THEN DISTINGUISH THE \"ACCEPTABLE EQUILIBRIUM SOLUTIONS\", (AES). NEXT, WE STUDY THE STABILITY OF THE AES. THE STABILITY ANALYSIS REQUIRED FOR THE HIGHER ORDER TERMS OF OUR EQUATIONS SEEMS TO PRESENT GREAT DIFFICULTIES WHEN VIEWED ACCORDING TO LIAPOUNOV'S METHODOLOGY. THEREFORE, WE DEVELOP AN \"EXPLICIT NUMERICAL STABILITY- ANALYSIS TECHNIQUE\" WHICH FITS THEFRAMEWORK OF THE PREVIOUS NUMERICAL STRATEGY VERY WELL. WE THEN USE SIXTH-ORDER EXPANSIONS OF THE DISTURBING FUNCTION IN STUDYING BOTH EQUILIBRIUM SOLUTIONS AND STABILITY, BY THE FOREGOING NUMERICAL METHODS. COMPARING THE RESULTS OF THEFOURTH AND THE SIXTH-ORDER THEORIES, WE NOTICE AN INCREASED NUMBER OF THE SIXTH- ORDER AES. ON THE CONTRARY, THE NUMBER OF \"STABLE\" AES DIMINISHES. IN CONCLUSION, THE SIXTH-ORDER THEORY LEADS TO A DETAILED TOPOGRAPHY OF THE A-H PLANE WITH RESPECT TO THE STABILITY-INSTABILITY\" OF THE LOCALIZED AES. SIMILARLY, WE FIND AN UPWARDS EXTREMUM IN THE VALUES OF THE MAXIMUM STABLE INCLINATION (TABLE II) FOR VALUES OF THE SEMI-MAJOR AXIS A BETWEEN 0.40 AND 0.45. APPARENTLY, THIS EXTREMUM EXCEEDS THE VALUE 45 FOR THE INCLINATION I. IN FACT, WHEN TAKING THE SYSTEM SUN-JUPITER-ASTEROID, THIS REGION CORRESPONDS TO THE REGION OF ASTEROIDS WITH LARGE ORBITAL INCLINATIONS. IT SEEMS, THEREFORE, THAT THESE ASTEROIDS WILLBE ON THEIR ORBITS FOR A \"LONG-TIME PERIOD\".","ΜΕΛΕΤΗ ΤΗΣ ΕΠΙΔΡΑΣΗΣ ΤΩΝ ΑΙΩΝΙΩΝ ΠΑΡΕΛΞΕΩΝ ΣΤΟ ΠΕΡΙΟΡΙΣΜΕΝΟ ΠΡΟΒΛΗΜΑ ΤΩΝ ΤΡΙΩΝ ΣΩΜΑΤΩΝ. ΘΕΩΡΟΥΜΕ ΤΟ ΑΙΩΝΙΟ ΜΕΡΟΣ ΤΗΣ ΠΑΡΕΛΚΤΙΚΗΣ ΣΥΝΑΡΤΗΣΕΩΣ ΧΡΗΣΙΜΟΠΟΙΩΝΤΑΣ ΑΡΧΙΚΑ ΠΡΟΣΕΓΓΙΣΗ ΤΕΤΑΡΤΗΣ ΤΑΞΗΣ ΩΣ ΠΡΟΣ ΤΗΝ ΕΚΚΕΝΤΡΟΤΗΤΑ ΚΑΙ ΤΗΝ ΚΛΙΣΗ ΚΑΙ ΣΤΗ ΣΥΝΕΧΕΙΑ ΠΡΟΣΕΓΓΙΣΗ ΕΚΤΗΣ ΤΑΞΗΣ. ΑΝΑΠΤΥΣΣΟΥΜΕ ΜΙΑ \"ΕΚΠΕΦΡΑΣΜΕΝΗ ΑΡΙΘΜΗΤΙΚΗ ΜΕΘΟΔΟ ΠΟΥ ΣΥΝΙΣΤΑΤΑΙ ΣΤΗ ΣΥΣΤΗΜΑΤΙΚΗ ΣΑΡΩΣΗ ΤΟΥ ΕΠΙΠΕΔΟΥ Α-Η, ΟΠΟΥ Α Ο ΜΕΓΑΛΟΣ ΗΜΙΑΞΟΝΑΣ ΚΑΙ Η ΜΙΑ ΑΠΟ ΤΙΣ ΜΕΤΑΒΛΗΤΕΣ DELAUNAY. ΟΙ ΑΠΟΔΕΚΤΕΣ ΛΥΣΕΙΣ ΙΣΟΡΡΟΠΙΑΣ ΓΙΑ ΕΝΑ ΣΥΓΚΕΚΡΙΜΕΝΟ ΣΗΜΕΙΟ (Α-Η) ΤΟΥ ΕΠΙΠΕΔΟΥ Α-Η ΕΙΝΑΙ ΟΙ ΡΙΖΕΣ ΕΝΟΣ ΣΥΣΤΗΜΑΤΟΣΔΥΟ ΜΗ ΓΡΑΜΜΙΚΩΝ ΑΛΓΕΒΡΙΚΩΝ ΕΞΙΣΩΣΕΩΝ. ΓΙΑ ΤΗ ΜΕΛΕΤΗ ΤΗΣ ΕΥΣΤΑΘΕΙΑΣ ΤΩΝ ΛΥΣΕΩΝΑΝΑΠΤΥΣΣΟΥΜΕ ΚΑΙ ΕΦΑΡΜΟΖΟΥΜΕ ΜΙΑ \"ΕΚΠΕΦΡΑΣΜΕΝΗ ΑΡΙΘΜΗΤΙΚΗ ΤΕΧΝΙΚΗ ΑΝΑΛΥΣΕΩΣ ΤΗΣ ΕΥΣΤΑΘΕΙΑΣ\" ΠΟΥ ΣΥΝΔΥΑΖΕΤΑΙ ΠΟΛΥ ΚΑΛΑ ΜΕ ΤΗ ΜΕΘΟΔΟ ΥΠΟΛΟΓΙΣΜΟΥ ΤΩΝ ΡΙΖΩΝ. ΣΥΓΚΡΙΝΟΝΤΑΙ ΤΑ ΑΠΟΤΕΛΕΣΜΑΤΑ ΤΩΝ ΠΡΟΣΕΓΓΙΣΕΩΝ ΤΕΤΑΡΤΗΣ ΚΑΙ ΕΚΤΗΣ ΤΑΞΗΣ ΣΥΜΠΕΡΑΙΝΟΥΜΕ ΟΤΙ Η ΕΚΤΗ ΤΑΞΗ ΟΔΗΓΕΙ ΣΕ ΜΙΑ ΛΕΠΤΟΜΕΡΗ ΧΑΡΤΟΓΡΑΦΗΣΗ ΤΟΥ ΕΠΙΠΕΔΟΥ Α-Η ΩΣ ΠΡΟΣ ΤΗΝ ΕΥΣΤΑΘΕΙΑ-ΑΣΤΑΘΕΙΑ ΤΩΝ ΕΝΤΟΠΙΖΟΜΕΝΩΝ ΡΙΖΩΝ. ΕΝΤΟΠΙΖΟΝΤΑΣ ΤΙΣ ΕΥΣΤΑΘΕΙΣ ΠΕΡΙΟΧΕΣ ΣΤΟ ΣΥΣΤΗΜΑ ΗΛΙΟΣ-ΔΙΑΣ-ΑΣΤΕΡΟΕΙΔΗΣ, ΠΑΡΑΤΗΡΟΥΜΕ ΟΤΙ ΑΚΟΜΗ ΚΑΙ ΟΙ ΑΣΤΕΡΟΕΙΔΕΙΣ, ΜΕ ΜΕΓΑΛΕΣ ΚΛΙΣΕΙΣ ΔΗΛ. Ι.>30 ΕΧΟΥΝ ΕΥΣΤΑΘΕΙΣ ΤΡΟΧΙΕΣ."]},{"key":"dc:title","label":"Title","values":["ΛΥΣΕΙΣ ΙΣΟΡΡΟΠΙΑΣ ΚΑΙ ΕΥΣΤΑΘΕΙΑ ΣΕ ΤΡΟΧΙΕΣ ΑΣΤΕΡΟΕΙΔΩΝ ΥΠΟ ΤΗΝ ΕΠΙΔΡΑΣΗ ΑΙΩΝΙΩΝ ΠΑΡΕΛΞΕΩΝ"]}]}],"canonical_facts":{"dc:creator":["Φλογαΐτη, Αικατερίνη"],"dc:date":["1990"],"dc:description":["IN THIS THESIS, WE STUDY THE SECULAR VARIATIONS IN THE RESTRICTED THREE BODY AND, PROPERLY IN THE MODEL SUN-JUPITER- ASTEROID. WE TAKE THE SECULAR PART OF THEDISTURBING FUNCTION UP TO THE FOURTH ORDER WITH RESPECT TO THE ECCENTRICITY AND THE INCLINATION TERMS. WE DEVELOP AN EXPLICIT NUMERICAL METHOD WHICH CONSIST IN A SYSTEMATIC SCANNING OF THE A-H PLANE WHERE A DENOTES THE SEMIMAJOR AXIS AND H STANDS FOR THE DELAUNAY VARIABLE. WE LOCALIZE THE EQUILIBRIUM SOLUTIONS, ASSIGNED TO A PARTICULAR POINT (A-H) OF THE A-H PLANE, AS ROOTS OF A SYSTEM OF TWO NON- LINEAR ALGEBRAIC EQUATIONS. WE THEN DISTINGUISH THE \"ACCEPTABLE EQUILIBRIUM SOLUTIONS\", (AES). NEXT, WE STUDY THE STABILITY OF THE AES. THE STABILITY ANALYSIS REQUIRED FOR THE HIGHER ORDER TERMS OF OUR EQUATIONS SEEMS TO PRESENT GREAT DIFFICULTIES WHEN VIEWED ACCORDING TO LIAPOUNOV'S METHODOLOGY. THEREFORE, WE DEVELOP AN \"EXPLICIT NUMERICAL STABILITY- ANALYSIS TECHNIQUE\" WHICH FITS THEFRAMEWORK OF THE PREVIOUS NUMERICAL STRATEGY VERY WELL. WE THEN USE SIXTH-ORDER EXPANSIONS OF THE DISTURBING FUNCTION IN STUDYING BOTH EQUILIBRIUM SOLUTIONS AND STABILITY, BY THE FOREGOING NUMERICAL METHODS. COMPARING THE RESULTS OF THEFOURTH AND THE SIXTH-ORDER THEORIES, WE NOTICE AN INCREASED NUMBER OF THE SIXTH- ORDER AES. ON THE CONTRARY, THE NUMBER OF \"STABLE\" AES DIMINISHES. IN CONCLUSION, THE SIXTH-ORDER THEORY LEADS TO A DETAILED TOPOGRAPHY OF THE A-H PLANE WITH RESPECT TO THE STABILITY-INSTABILITY\" OF THE LOCALIZED AES. SIMILARLY, WE FIND AN UPWARDS EXTREMUM IN THE VALUES OF THE MAXIMUM STABLE INCLINATION (TABLE II) FOR VALUES OF THE SEMI-MAJOR AXIS A BETWEEN 0.40 AND 0.45. APPARENTLY, THIS EXTREMUM EXCEEDS THE VALUE 45 FOR THE INCLINATION I. IN FACT, WHEN TAKING THE SYSTEM SUN-JUPITER-ASTEROID, THIS REGION CORRESPONDS TO THE REGION OF ASTEROIDS WITH LARGE ORBITAL INCLINATIONS. IT SEEMS, THEREFORE, THAT THESE ASTEROIDS WILLBE ON THEIR ORBITS FOR A \"LONG-TIME PERIOD\".","ΜΕΛΕΤΗ ΤΗΣ ΕΠΙΔΡΑΣΗΣ ΤΩΝ ΑΙΩΝΙΩΝ ΠΑΡΕΛΞΕΩΝ ΣΤΟ ΠΕΡΙΟΡΙΣΜΕΝΟ ΠΡΟΒΛΗΜΑ ΤΩΝ ΤΡΙΩΝ ΣΩΜΑΤΩΝ. ΘΕΩΡΟΥΜΕ ΤΟ ΑΙΩΝΙΟ ΜΕΡΟΣ ΤΗΣ ΠΑΡΕΛΚΤΙΚΗΣ ΣΥΝΑΡΤΗΣΕΩΣ ΧΡΗΣΙΜΟΠΟΙΩΝΤΑΣ ΑΡΧΙΚΑ ΠΡΟΣΕΓΓΙΣΗ ΤΕΤΑΡΤΗΣ ΤΑΞΗΣ ΩΣ ΠΡΟΣ ΤΗΝ ΕΚΚΕΝΤΡΟΤΗΤΑ ΚΑΙ ΤΗΝ ΚΛΙΣΗ ΚΑΙ ΣΤΗ ΣΥΝΕΧΕΙΑ ΠΡΟΣΕΓΓΙΣΗ ΕΚΤΗΣ ΤΑΞΗΣ. ΑΝΑΠΤΥΣΣΟΥΜΕ ΜΙΑ \"ΕΚΠΕΦΡΑΣΜΕΝΗ ΑΡΙΘΜΗΤΙΚΗ ΜΕΘΟΔΟ ΠΟΥ ΣΥΝΙΣΤΑΤΑΙ ΣΤΗ ΣΥΣΤΗΜΑΤΙΚΗ ΣΑΡΩΣΗ ΤΟΥ ΕΠΙΠΕΔΟΥ Α-Η, ΟΠΟΥ Α Ο ΜΕΓΑΛΟΣ ΗΜΙΑΞΟΝΑΣ ΚΑΙ Η ΜΙΑ ΑΠΟ ΤΙΣ ΜΕΤΑΒΛΗΤΕΣ DELAUNAY. ΟΙ ΑΠΟΔΕΚΤΕΣ ΛΥΣΕΙΣ ΙΣΟΡΡΟΠΙΑΣ ΓΙΑ ΕΝΑ ΣΥΓΚΕΚΡΙΜΕΝΟ ΣΗΜΕΙΟ (Α-Η) ΤΟΥ ΕΠΙΠΕΔΟΥ Α-Η ΕΙΝΑΙ ΟΙ ΡΙΖΕΣ ΕΝΟΣ ΣΥΣΤΗΜΑΤΟΣΔΥΟ ΜΗ ΓΡΑΜΜΙΚΩΝ ΑΛΓΕΒΡΙΚΩΝ ΕΞΙΣΩΣΕΩΝ. ΓΙΑ ΤΗ ΜΕΛΕΤΗ ΤΗΣ ΕΥΣΤΑΘΕΙΑΣ ΤΩΝ ΛΥΣΕΩΝΑΝΑΠΤΥΣΣΟΥΜΕ ΚΑΙ ΕΦΑΡΜΟΖΟΥΜΕ ΜΙΑ \"ΕΚΠΕΦΡΑΣΜΕΝΗ ΑΡΙΘΜΗΤΙΚΗ ΤΕΧΝΙΚΗ ΑΝΑΛΥΣΕΩΣ ΤΗΣ ΕΥΣΤΑΘΕΙΑΣ\" ΠΟΥ ΣΥΝΔΥΑΖΕΤΑΙ ΠΟΛΥ ΚΑΛΑ ΜΕ ΤΗ ΜΕΘΟΔΟ ΥΠΟΛΟΓΙΣΜΟΥ ΤΩΝ ΡΙΖΩΝ. ΣΥΓΚΡΙΝΟΝΤΑΙ ΤΑ ΑΠΟΤΕΛΕΣΜΑΤΑ ΤΩΝ ΠΡΟΣΕΓΓΙΣΕΩΝ ΤΕΤΑΡΤΗΣ ΚΑΙ ΕΚΤΗΣ ΤΑΞΗΣ ΣΥΜΠΕΡΑΙΝΟΥΜΕ ΟΤΙ Η ΕΚΤΗ ΤΑΞΗ ΟΔΗΓΕΙ ΣΕ ΜΙΑ ΛΕΠΤΟΜΕΡΗ ΧΑΡΤΟΓΡΑΦΗΣΗ ΤΟΥ ΕΠΙΠΕΔΟΥ Α-Η ΩΣ ΠΡΟΣ ΤΗΝ ΕΥΣΤΑΘΕΙΑ-ΑΣΤΑΘΕΙΑ ΤΩΝ ΕΝΤΟΠΙΖΟΜΕΝΩΝ ΡΙΖΩΝ. ΕΝΤΟΠΙΖΟΝΤΑΣ ΤΙΣ ΕΥΣΤΑΘΕΙΣ ΠΕΡΙΟΧΕΣ ΣΤΟ ΣΥΣΤΗΜΑ ΗΛΙΟΣ-ΔΙΑΣ-ΑΣΤΕΡΟΕΙΔΗΣ, ΠΑΡΑΤΗΡΟΥΜΕ ΟΤΙ ΑΚΟΜΗ ΚΑΙ ΟΙ ΑΣΤΕΡΟΕΙΔΕΙΣ, ΜΕ ΜΕΓΑΛΕΣ ΚΛΙΣΕΙΣ ΔΗΛ. Ι.>30 ΕΧΟΥΝ ΕΥΣΤΑΘΕΙΣ ΤΡΟΧΙΕΣ."],"dc:identifier":["10.12681/eadd/1388","http://hdl.handle.net/10442/hedi/1388"],"dc:language":["gre"],"dc:publisher":["University of Patras","Πανεπιστήμιο Πατρών"],"dc:subject":["ΑΙΩΝΙΕΣ ΠΑΡΕΛΞΕΙΣ","Ευστάθεια τροχιών","ΘΕΣΕΙΣ ΙΣΟΡΡΟΠΙΑΣ","ΜΕΤΑΒΛΗΤΕΣ DELAUNAY","ΠΑΡΕΛΚΤΙΚΗ ΣΥΝΑΡΤΗΣΗ","Περιορισμένο πρόβλημα τριών σωμάτων","ΤΡΟΧΙΕΣ ΑΣΤΕΡΟΕΙΔΩΝ","DELAUNAY'S VARIABLES","DISTURBING FUNCTION","EQUILIBRIUM SOLUTIONS","Orbits of asteroids","Restricted three body problem","Secular variations","STABILITY OFORBITS","Φυσικές Επιστήμες","Φυσική","Natural Sciences","Physical Sciences"],"dc:title":["ΛΥΣΕΙΣ ΙΣΟΡΡΟΠΙΑΣ ΚΑΙ ΕΥΣΤΑΘΕΙΑ ΣΕ ΤΡΟΧΙΕΣ ΑΣΤΕΡΟΕΙΔΩΝ ΥΠΟ ΤΗΝ ΕΠΙΔΡΑΣΗ ΑΙΩΝΙΩΝ ΠΑΡΕΛΞΕΩΝ"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:24:52Z"}