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Milestones in the Development of Celestial Mechanics
AbstractA brief outline of the development of ideas and a review of some achievements in modern celestial mechanics are presented. The emphasis is on...
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Celestial Mechanics
The centuries after Newton were the heyday of celestial mechanics. At first it was about the description of the planetary orbits, soon followed by...
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Analytical methods in celestial mechanics: satellites’ stability and galactic billiards
In this paper, two models of interest for Celestial Mechanics are presented and analysed, using both analytic and numerical techniques, from the...
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Selected Problems of Classical and Modern Celestial Mechanics and Stellar Dynamics: I–Classical Results
AbstractA review is given, in the modern context of applications, of the major important scientific results obtained by scientists and graduates of...
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Introduction to Celestial Mechanics
In this introductory text to celestial mechanics, we review the general problem of N bodies, the Kepler problem, the three-body problem, the...
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General relativistic approach to the vis-viva equation on Schwarzschild metric
AbstractA modification to the vis-viva equation that accounts for general relativistic effects is introduced to enhance the accuracy of predictions...
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Celestial mechanics in Newtonian-like gravity with variable G
A Newtonian-like theory inspired by the Brans–Dicke gravitational Lagrangian has been recently proposed in Fabris (Eur Phys J Plus 136:143, 2021)....
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Flat holography and celestial shockwaves
In this paper we systematically develop the flat/CFT holographic dictionary, building on AdS/CFT holography. After analysing the behaviour of scalar...
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Dual Relativistic Quantum Mechanics I
It was shown in Dirac (Proc. R. Soc. (Lond.) A117, 610; A118, 351, 1928) that the ultra-violet divergence in quantum electrodynamics (QED) is caused...
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Eikonal approximation in celestial CFT
We identify an eikonal regime in celestial CFT 2 in which massless 2-2 scattering is dominated by t-channel exchange. We derive a formula for the...
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Celestial holography on Kerr-Schild backgrounds
We explore the celestial holography proposal for non-trivial asymptotically flat backgrounds including the Coulomb field of a static and spinning...
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Some Aspects of the Relativistic Rotation of Solar System Bodies using the Example of Jupiter and its Galilean Satellites
AbstractThis paper is devoted to some aspects of the study of relativistic effects (geodetic precession and geodetic nutation, which together...
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Poincaré’s New Mechanics
After having recalled the circumstances with which Poincaré introduced the principle of relativityPrinciple of relativity at the Saint Louis congress...
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First Laws of Mechanics
Since the pioneering works on isolated black hole thermodynamics in the 1970s, the so-called first law of mechanics has gradually been extended to a...
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Classical and relativistic n-body problem: from Levi-Civita to the most advanced interplanetary missions
The n -body problem is one of the most important issues in Celestial Mechanics. This article aims to retrace the historical and scientific events that...
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Zwanziger’s pairwise little group on the celestial sphere
We generalize Zwanziger’s pairwise little group to include a boost subgroup. We do so by working in the celestial sphere representation of scattering...
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The Rules of 4-Dimensional Perspective: How to Implement Lorentz Transformations in Relativistic Visualization
This paper presents a pedagogical introduction to the issue of how to implement Lorentz transformations in relativistic visualization. The most...
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Relativistic gravitational force
What would the universe be like if we would give up the principle of equivalence and as a consequence incorporate gravity on a more traditional...
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An application of symplectic integration for general relativistic planetary orbitography subject to non-gravitational forces
Spacecraft propagation tools describe the motion of near-Earth objects and interplanetary probes using Newton’s theory of gravity supplemented with...
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The Analytical Mechanics of Lagrange
The fundamental concepts and principles of mechanics, or dynamics, were established in the 17th century. Copernicus (1473–1543) gave the notion of...