New frontiers of celestial mechanics, theory and applications : I-CELMECH Training School, Milan, Italy, February 3-7, 2020 / / edited by Giulio Baù |
Edizione | [1st ed. 2022.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2023] |
Descrizione fisica | 1 online resource (306 pages) |
Disciplina | 521 |
Collana | Springer Proceedings in Mathematics & Statistics |
Soggetto topico |
Celestial mechanics
Mecànica celeste Relativitat general (Física) Astrometria Física matemàtica |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-13115-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 U. Locatelli, C. Caracciolo, M. Sansottera, M. Volpi - Invariant KAM tori: from theory to applications to exoplanetary systems -- 2 J. Daquin, S. Di Ruzza, G. Pinzari, A new analysis of the three-body problem -- 3 R. Calleja, A. Celletti, R. de la Llave, KAM theory for some dissipative systems -- 4. G. Boué, Tidal Effects and Rotation of Extended Bodies -- 5 C. Efthymiopoulos, R.I. Paez, Arnold diffusion and Nekhoroshev theory -- 6 G. F. Gronchi, Orbit determination with the Keplerian Integrals -- 7 A. Celletti, C. Gales, Resonant dynamics of space debris -- 8 M. Guzzo, E. Lega, Theory and applications of Fast Lyapunov Indicators for the computation of transit orbits in the three-body problem -- 9 A. Giorgilli, The unaccomplished perfection of Kepler’s world. |
Record Nr. | UNISA-996511863303316 |
Cham, Switzerland : , : Springer, , [2023] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
Orbital and celestial mechanics [[electronic resource] /] / John P. Vinti ; edited by Gim J. Der, Nino L. Bonavito |
Autore | Vinti John P (John Pascal), <1907-> |
Pubbl/distr/stampa | Reston, Va., : American Institute of Aeronautics and Astronautics, c1998 |
Descrizione fisica | 1 online resource (415 p.) |
Disciplina | 629.4/113 |
Altri autori (Persone) |
DerGim J
BonavitoNino L |
Collana | Progress in astronautics and aeronautics |
Soggetto topico |
Orbital mechanics
Celestial mechanics Astrodynamics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-60086-648-4
1-60086-429-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title; Copyright; Foreword; Table of Contents; Preface; Introduction; Chapter 1 Newton's Laws; I. Newton's Laws of Motion; II. Newton's Law of Gravitation; III. The Gravitational Potential; IV. Gravitational Flux and Gauss' Theorem; V. Gravitational Properties of a True Sphere; Chapter 2 The Two-Body Problem; I. Reduction to the One-Center Problem; II. The One-Center Problem; III. The Laplace Vector; IV. The Conic Section Solutions; V. Elliptic Orbits; VI. Spherical Trigonometry; VII. Orbit in Space; VIII. Orbit Determination from Initial Values; Chapter 3 Lagrangian Dynamics
I. VariationsII. D'Alembert's Principle; III. Hamilton's Principle; IV. Lagrange's Equations; Reference; Chapter 4 The Hamiltonian Equations; I. An Important Theorem; II. Ignorable Variables; Chapter 5 Canonical Transformations; I. The Condition of Exact Differentials; II. Canonical Generating Functions; III. Extended Point Transformation; IV. Transformation from Plane Rectangular to Plane Polar Coordinates; V. The Jacobi Integral; References; Chapter 6 Hamilton-Jacobi Theory; I. The Hamilton-Jacobi Equation; II. An Important Special Case III. The Hamilton-Jacobi Equation for the Kepler ProblemIV. The Integrals for the Kepler Problem; V. Relations Connecting β[sub(2)] and β[sub(3)] with ω and Ω; VI. Summary; Bibliography; Chapter 7 Hamilton-Jacobi Perturbation Theory; Bibliography; Chapter 8 The Vinti Spheroidal Method for Satellite Orbits and Ballistic Trajectories; I. Introduction; II. The Coordinates and the Hamiltonian; III. The Hamilton-Jacobi Equation; IV. Laplace's Equation; V. Expansion of Potential in Spherical Harmonics; VI. Return to the HJ Equation; VII. The Kinematic Equations; VIII. Orbital Elements IX. Factoring the QuarticsX. The ρ Integrals; XI. The η Integrals; XII. The Mean Frequencies; XIII. Assembly of the Kinematic Equations; XIV. Solution of the Kinematic Equations; XV. The Periodic Terms; XVI. The Right Ascension Φ; XVII. Further Developments; References; Chapter 9 Delaunay Variables; Reference; Chapter 10 The Lagrange Planetary Equations; I. Semi-Major Axis; II. Eccentricity; III. Inclination; IV. Mean Anomaly; V. The Argument of Pericenter; VI. The Longitude of the Node; VII. Summary; Reference; Chapter 11 The Planetary Disturbing Function; Bibliography Chapter 12 Gaussian Variational Equations for the Jacobi ElementsReferences; Chapter 13 Gaussian Variational Equations for the Keplerian Elements; I. Preliminaries; II. Equations for α[sub(1)] and a; III. Equations for α[sub(2)] and e; IV. Equations for α[sub(3)] and I; V. Equations for β[sub(3)] = Ω; VI. Equations for β[sub(2)] = ω; VII. Equations for β[sub(1)] and l; VIII. Summary; Chapter 14 Potential Theory; I. Introduction; II. Laplace's Equation; III. The Eigenvalue Problem; IV. The R(r) Equation; V. The Assembled Solution; VI. Legendre Polynomials; VII. The Results for P[sub(n)](x) VIII. The 0 Solution for m > 0 |
Record Nr. | UNINA-9910457217703321 |
Vinti John P (John Pascal), <1907->
![]() |
||
Reston, Va., : American Institute of Aeronautics and Astronautics, c1998 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Orbital and celestial mechanics [[electronic resource] /] / John P. Vinti ; edited by Gim J. Der, Nino L. Bonavito |
Autore | Vinti John P (John Pascal), <1907-> |
Pubbl/distr/stampa | Reston, Va., : American Institute of Aeronautics and Astronautics, c1998 |
Descrizione fisica | 1 online resource (415 p.) |
Disciplina | 629.4/113 |
Altri autori (Persone) |
DerGim J
BonavitoNino L |
Collana | Progress in astronautics and aeronautics |
Soggetto topico |
Orbital mechanics
Celestial mechanics Astrodynamics |
ISBN |
1-60086-648-4
1-60086-429-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title; Copyright; Foreword; Table of Contents; Preface; Introduction; Chapter 1 Newton's Laws; I. Newton's Laws of Motion; II. Newton's Law of Gravitation; III. The Gravitational Potential; IV. Gravitational Flux and Gauss' Theorem; V. Gravitational Properties of a True Sphere; Chapter 2 The Two-Body Problem; I. Reduction to the One-Center Problem; II. The One-Center Problem; III. The Laplace Vector; IV. The Conic Section Solutions; V. Elliptic Orbits; VI. Spherical Trigonometry; VII. Orbit in Space; VIII. Orbit Determination from Initial Values; Chapter 3 Lagrangian Dynamics
I. VariationsII. D'Alembert's Principle; III. Hamilton's Principle; IV. Lagrange's Equations; Reference; Chapter 4 The Hamiltonian Equations; I. An Important Theorem; II. Ignorable Variables; Chapter 5 Canonical Transformations; I. The Condition of Exact Differentials; II. Canonical Generating Functions; III. Extended Point Transformation; IV. Transformation from Plane Rectangular to Plane Polar Coordinates; V. The Jacobi Integral; References; Chapter 6 Hamilton-Jacobi Theory; I. The Hamilton-Jacobi Equation; II. An Important Special Case III. The Hamilton-Jacobi Equation for the Kepler ProblemIV. The Integrals for the Kepler Problem; V. Relations Connecting β[sub(2)] and β[sub(3)] with ω and Ω; VI. Summary; Bibliography; Chapter 7 Hamilton-Jacobi Perturbation Theory; Bibliography; Chapter 8 The Vinti Spheroidal Method for Satellite Orbits and Ballistic Trajectories; I. Introduction; II. The Coordinates and the Hamiltonian; III. The Hamilton-Jacobi Equation; IV. Laplace's Equation; V. Expansion of Potential in Spherical Harmonics; VI. Return to the HJ Equation; VII. The Kinematic Equations; VIII. Orbital Elements IX. Factoring the QuarticsX. The ρ Integrals; XI. The η Integrals; XII. The Mean Frequencies; XIII. Assembly of the Kinematic Equations; XIV. Solution of the Kinematic Equations; XV. The Periodic Terms; XVI. The Right Ascension Φ; XVII. Further Developments; References; Chapter 9 Delaunay Variables; Reference; Chapter 10 The Lagrange Planetary Equations; I. Semi-Major Axis; II. Eccentricity; III. Inclination; IV. Mean Anomaly; V. The Argument of Pericenter; VI. The Longitude of the Node; VII. Summary; Reference; Chapter 11 The Planetary Disturbing Function; Bibliography Chapter 12 Gaussian Variational Equations for the Jacobi ElementsReferences; Chapter 13 Gaussian Variational Equations for the Keplerian Elements; I. Preliminaries; II. Equations for α[sub(1)] and a; III. Equations for α[sub(2)] and e; IV. Equations for α[sub(3)] and I; V. Equations for β[sub(3)] = Ω; VI. Equations for β[sub(2)] = ω; VII. Equations for β[sub(1)] and l; VIII. Summary; Chapter 14 Potential Theory; I. Introduction; II. Laplace's Equation; III. The Eigenvalue Problem; IV. The R(r) Equation; V. The Assembled Solution; VI. Legendre Polynomials; VII. The Results for P[sub(n)](x) VIII. The 0 Solution for m > 0 |
Record Nr. | UNINA-9910781411803321 |
Vinti John P (John Pascal), <1907->
![]() |
||
Reston, Va., : American Institute of Aeronautics and Astronautics, c1998 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Orbital and celestial mechanics [[electronic resource] /] / John P. Vinti ; edited by Gim J. Der, Nino L. Bonavito |
Autore | Vinti John P (John Pascal), <1907-> |
Pubbl/distr/stampa | Reston, Va., : American Institute of Aeronautics and Astronautics, c1998 |
Descrizione fisica | 1 online resource (415 p.) |
Disciplina | 629.4/113 |
Altri autori (Persone) |
DerGim J
BonavitoNino L |
Collana | Progress in astronautics and aeronautics |
Soggetto topico |
Orbital mechanics
Celestial mechanics Astrodynamics |
ISBN |
1-60086-648-4
1-60086-429-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title; Copyright; Foreword; Table of Contents; Preface; Introduction; Chapter 1 Newton's Laws; I. Newton's Laws of Motion; II. Newton's Law of Gravitation; III. The Gravitational Potential; IV. Gravitational Flux and Gauss' Theorem; V. Gravitational Properties of a True Sphere; Chapter 2 The Two-Body Problem; I. Reduction to the One-Center Problem; II. The One-Center Problem; III. The Laplace Vector; IV. The Conic Section Solutions; V. Elliptic Orbits; VI. Spherical Trigonometry; VII. Orbit in Space; VIII. Orbit Determination from Initial Values; Chapter 3 Lagrangian Dynamics
I. VariationsII. D'Alembert's Principle; III. Hamilton's Principle; IV. Lagrange's Equations; Reference; Chapter 4 The Hamiltonian Equations; I. An Important Theorem; II. Ignorable Variables; Chapter 5 Canonical Transformations; I. The Condition of Exact Differentials; II. Canonical Generating Functions; III. Extended Point Transformation; IV. Transformation from Plane Rectangular to Plane Polar Coordinates; V. The Jacobi Integral; References; Chapter 6 Hamilton-Jacobi Theory; I. The Hamilton-Jacobi Equation; II. An Important Special Case III. The Hamilton-Jacobi Equation for the Kepler ProblemIV. The Integrals for the Kepler Problem; V. Relations Connecting β[sub(2)] and β[sub(3)] with ω and Ω; VI. Summary; Bibliography; Chapter 7 Hamilton-Jacobi Perturbation Theory; Bibliography; Chapter 8 The Vinti Spheroidal Method for Satellite Orbits and Ballistic Trajectories; I. Introduction; II. The Coordinates and the Hamiltonian; III. The Hamilton-Jacobi Equation; IV. Laplace's Equation; V. Expansion of Potential in Spherical Harmonics; VI. Return to the HJ Equation; VII. The Kinematic Equations; VIII. Orbital Elements IX. Factoring the QuarticsX. The ρ Integrals; XI. The η Integrals; XII. The Mean Frequencies; XIII. Assembly of the Kinematic Equations; XIV. Solution of the Kinematic Equations; XV. The Periodic Terms; XVI. The Right Ascension Φ; XVII. Further Developments; References; Chapter 9 Delaunay Variables; Reference; Chapter 10 The Lagrange Planetary Equations; I. Semi-Major Axis; II. Eccentricity; III. Inclination; IV. Mean Anomaly; V. The Argument of Pericenter; VI. The Longitude of the Node; VII. Summary; Reference; Chapter 11 The Planetary Disturbing Function; Bibliography Chapter 12 Gaussian Variational Equations for the Jacobi ElementsReferences; Chapter 13 Gaussian Variational Equations for the Keplerian Elements; I. Preliminaries; II. Equations for α[sub(1)] and a; III. Equations for α[sub(2)] and e; IV. Equations for α[sub(3)] and I; V. Equations for β[sub(3)] = Ω; VI. Equations for β[sub(2)] = ω; VII. Equations for β[sub(1)] and l; VIII. Summary; Chapter 14 Potential Theory; I. Introduction; II. Laplace's Equation; III. The Eigenvalue Problem; IV. The R(r) Equation; V. The Assembled Solution; VI. Legendre Polynomials; VII. The Results for P[sub(n)](x) VIII. The 0 Solution for m > 0 |
Record Nr. | UNINA-9910825537503321 |
Vinti John P (John Pascal), <1907->
![]() |
||
Reston, Va., : American Institute of Aeronautics and Astronautics, c1998 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Perihelia reduction and global Kolmogorov tori in the planetary problem / / Gabriella Pinzari |
Autore | Pinzari Gabriella <1966-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (104 pages) |
Disciplina | 521 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Celestial mechanics
Differential equations, Partial Planetary theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-4813-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Background and results -- Kepler maps and the Perihelia reduction -- The P-map and the planetary problem -- Global Kolmogorov tori in the planetary problem -- Proofs. |
Record Nr. | UNINA-9910478892303321 |
Pinzari Gabriella <1966->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Perihelia reduction and Global Kolmogorov tori in the planetary problem / / Gabriella Pinzari |
Autore | Pinzari Gabriella <1966-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (104 pages) |
Disciplina | 521 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Celestial mechanics |
ISBN | 1-4704-4813-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Background and results -- Kepler maps and the Perihelia reduction -- The P-map and the planetary problem -- Global Kolmogorov tori in the planetary problem -- Proofs. |
Record Nr. | UNINA-9910793296803321 |
Pinzari Gabriella <1966->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Perihelia reduction and Global Kolmogorov tori in the planetary problem / / Gabriella Pinzari |
Autore | Pinzari Gabriella <1966-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (104 pages) |
Disciplina | 521 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Celestial mechanics |
ISBN | 1-4704-4813-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Background and results -- Kepler maps and the Perihelia reduction -- The P-map and the planetary problem -- Global Kolmogorov tori in the planetary problem -- Proofs. |
Record Nr. | UNINA-9910813201103321 |
Pinzari Gabriella <1966->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Philosophiæ naturalis principia mathematica [[electronic resource] /] / autore Js. Newton . |
Autore | Newton Isaac, Sir, <1642-1727.> |
Pubbl/distr/stampa | Londini, : Jussu Societatis Regiae ac Typis Josephi Streater ..., 1687 |
Descrizione fisica | [9], 383, 400-510, [1] p., [1] leaf of folded plates : ill |
Soggetto topico |
Mechanics
Celestial mechanics |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | lat |
Record Nr. | UNISA-996396768003316 |
Newton Isaac, Sir, <1642-1727.>
![]() |
||
Londini, : Jussu Societatis Regiae ac Typis Josephi Streater ..., 1687 | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
Philosophiæ naturalis principia mathematica [[electronic resource] /] / autore Js. Newton . |
Autore | Newton Isaac, Sir, <1642-1727.> |
Pubbl/distr/stampa | Londoni, : Jussu Societas Regiæ ac typis Josephi Streater, prostant venales apud Sam. Smith ..., MDCLXXXVII [1687] |
Descrizione fisica | [9], 383, 400-510, [1] p., [1] leaf of folded plates : ill |
Soggetto topico |
Mechanics
Celestial mechanics |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | lat |
Record Nr. | UNISA-996388193403316 |
Newton Isaac, Sir, <1642-1727.>
![]() |
||
Londoni, : Jussu Societas Regiæ ac typis Josephi Streater, prostant venales apud Sam. Smith ..., MDCLXXXVII [1687] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
Principes mathématiques de la philosophie naturelle . Tome I / / Isaac Newton |
Autore | Newton Isaac |
Pubbl/distr/stampa | Chicoutimi : , : J.-M. Tremblay, , 2010 |
Descrizione fisica | 1 online resource |
Disciplina | 531 |
Collana | Classiques des sciences sociales |
Soggetto topico |
Celestial mechanics
Gravitation |
ISBN | 1-4123-6754-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Nota di contenuto | Avertissement de l'éditeur (édition 1756)--Préface historique (de Monsieur de Voltaire)--Préface de Monsieur Newton à la première édition (1686)--Préface de Monsieur Newton à la tête de la seconde édition--Préface de Monsieur Newton à la troisième édition--Préface de M. Cotes (à la présente édition, de 1759)--Sur la physique de Newton, à Madame la Marquise du Chastelet (M. de Voltaire)--Principes mathématiques de la Philosophie Naturelle.--Définitions.--Axiomes ou Lois du Mouvement.--Du mouvement des corps.--Livre Premier.--Section I.--De la méthode des premières et dernières raisons employée dans tout cet ouvrage.--Section II.--De la recherche des forces centripètes.--Section III.--Du mouvement des corps dans les sections coniques excentriques.--Section IV.--De la détermination des orbes elliptiques, paraboliques et hyperboliques, lorsque l'un des foyers est donné.--Section V.--De la détermination des orbites lorsqu'aucun des foyers n'est donné.--Section VI.--De la détermination des mouvements dans des orbes donnés.--Section VII.--De l'ascension et de la descente rectiligne des corps.--Section VIII.--De la détermination des orbes que décrivent des corps sollicités par des forces centripètes quelconques.--Section IX.--Du mouvement des corps dans des orbes mobiles, et du mouvement des apsides.--Section X.--Du mouvement des corps dans des superficies données, et des oscillations des corps suspendus par des fils.--Section XI.--Du mouvement des corps qui s'attirent mutuellement par des forces centripètes.--Section XII.--Des forces attractives des corps sphériques.--Section XIII.--Des forces attractives des corps qui ne sont pas sphériques.--Section XIV.--Du Mouvement des corpuscules attirés par toutes les parties d'un corps quelconque.--Du mouvement des corps.--Livre Second.--Section I.--Du mouvement des corps qui éprouvent une résistance en raison de leur vitesse.--Section II.--Du mouvement des corps qui éprouvent une résistance en raison doublée des vitesses.--Section III.--Du mouvement des corps qui éprouvent des résistances qui sont en partie en raison de la vitesse, et en partie en raison doublée de cette même vitesse.--Section IV. Du mouvement circulaire des corps dans les milieux résistants ... --Section V.--De la densité et de la compression des fluides et de l'hydrostatique.--Section VI.--Du mouvement et de la résistance des corps oscillants.--Section VII.--Des mouvements des fluides et de la résistance des projectiles.--Section VIII.--De la propagation du mouvement dans les fluides.--Section IX.--Du mouvement circulaire des fluides.--TOME II--Du Système du Monde--Livre Troisième.--Règles qu'il faut suivre dans l'étude de la physique.--Phénomènes.--Propositions.--Du mouvement des nœuds de la Lune.--Suivi du--Commentaire des Principes Mathématiques--de la Philosophie Naturelle--Par Madame la Marquise du Chastellet--Exposition abrégée du Système du Monde.--Introduction contenant une histoire abrégée du développement du vrai Système de l'Univers.--Chapitre I. Principaux phénomènes du Système du Monde--Chapitre II. Comment la théorie de M. Newton explique les phénomènes des planètes principales--Chapitre III. De la détermination de la figure de la Terre, selon les principes de M. Newton--Chapitre IV. Comment M. Newton a expliqué la précession des équinoxes.--Chapitre V. Du flux et reflux de la mer--Chapitre VI. Comment M. Newton explique les phénomènes des planètes secondaires, et principalement ceux de la Lune--Chapitre VII. Des comètes--Solution analytique des principaux problèmes qui concernent le Système du Monde--Section I.--Des trajectoires dans toutes sortes d'hypothèses de pesanteur--Section II.--De l'attraction des Corps en ayant égard à leurs figures--Section III.--Explication de la réfraction de la lumière, en employant le principe de l'attraction--Section IV.--De la figure de la Terre--Section V.--Des marées. |
Record Nr. | UNINA-9910132567403321 |
Newton Isaac
![]() |
||
Chicoutimi : , : J.-M. Tremblay, , 2010 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|