Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 13 of 13 for “"celestial mechanics"”.
-
Statistical stability of three and more body hierarchical systems in celestial mechanics
… based on the movements of the planets and other celestial bodies. (There may be some astronomers today who would wish for similar generous patronage). Since the advent of modern celestial mechanics with the work of Isaac Newton, orbital motion has been studied for its own sake, and in the last …
-
Mathematical and Computational Methods for the n-Body Problem
… of the most classical and enduring challenges in celestial mechanics, seeks to describe the motion of n masses interacting through Newtonian gravity. Despite its deceptively simple formulation, the problem exhibits a profound interplay between order and chaos, giving rise to an extraordinary …
-
Computer-assisted proofs in geometry and physics
… problems, one in discrete geometry and one in celestial mechanics. Our main tool is an effective inverse function theorem which shows that, in favorable conditions, the existence of an approximate solution to a system of equations implies the existence of an exact solution nearby. This allows …
-
Poincaré and the Three Body Problem
… is discussed and Poincaré's subsequent work in celestial mechanics and related topics is examined. Through the consideration of sources up to 1920 the influence and impact of the memoir on the progress of the three body problem and on dynamics in general is assessed.
-
Real root counting for parametric polynomial systems and applications.
… play an important role in the study of celestial mechanics. They determine some special solutions of the Newton's laws of motion and lead to explicit expression of the solutions. After some changes of the coordinates, we can describe the central configurations as zeros of a system of …
-
Secular Dynamics of Self-gravitating Debris Discs
… this record has become a central focus of modern celestial mechanics, as it may provide unique insights into the formation and evolution of exoplanetary systems, in addition to indirectly detecting planets based on the structures (e.g., gaps and spiral arms) they imprint on debris discs. However, …
-
Secular Dynamics of Binaries in Stellar Clusters
… forces represents one of the oldest problems in celestial mechanics. Most obviously, tidal perturbations may arise due to an external point mass bound to the binary, as in the Lidov-Kozai (LK) theory of hierarchical triples, but they can also stem from the gravitational field of an extended …
-
On the Dynamics of Noncircular Accretion Discs
The classical picture of an accretion disc is of a geometrically thin, nearly axisymmetric, fluid flow undergoing supersonic circular motion and slowly accreting due to angular momentum transport by the disc turbulence. There are, however, strong theoretical and observational grounds for …
-
Design and modeling of kinetic impact missions for deflecting near-earth asteroids
… of the heliocentric orbit change for a celestial object in the solar system. This measurement for the DART mission is a significant milestone in planetary defense, as it provides concrete evidence of the effectiveness of kinetic impacts for deflecting asteroids. Additionally, a new …
-
The Problem of the Earth's Figure: Measurement, Theory, and Evidence in Physical Geodesy
This thesis tells the story of a surprisingly difficult problem in gravitational physics: deriving and measuring the shape of our planet. Chapter 1 reconstructs the emergence of gravitational theories of planetary equilibrium figures and quantitative measurements of the Earth’s shape and surface …
-
Stabilitätsuntersuchungen an Asteroidenbahnen in ausgewählten Bahnresonanzen des Edgeworth-Kuiper-Gürtels
Gegenstand dieser Dissertation ist eine umfassende Analyse der Stabilität von Asteroidenbahnen im Edgeworth-Kuiper-Gürtel am Beispiel der 3:5-, 4:7- und der 1:2-Bahnresonanz mit Neptun. Einen weiteren Schwerpunkt der Arbeit bildet die Untersuchung der numerischen Berechenbarkeit der Lyapunov-Zeit …