Detailed Licensing
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Overview
Title: Celestial Mechanics (Tatum)
Webpages: 191
Applicable Restrictions: Noncommercial
All licenses found:
- CC BY-NC 4.0: 95.3% (182 pages)
- Undeclared: 4.7% (9 pages)
By Page
- Celestial Mechanics (Tatum) -
CC BY-NC 4.0
- Front Matter - Undeclared
- 1: Numerical Methods -
CC BY-NC 4.0
- 1.1: Introduction to Numerical Methods - CC BY-NC 4.0
- 1.2: Numerical Integration - CC BY-NC 4.0
- 1.3: Quadratic Equations - CC BY-NC 4.0
- 1.4: The Solution of f(x) = 0 - CC BY-NC 4.0
- 1.5: The Solution of Polynomial Equations - CC BY-NC 4.0
- 1.6: Failure of the Newton-Raphson Method - CC BY-NC 4.0
- 1.7: Simultaneous Linear Equations, N = n - CC BY-NC 4.0
- 1.8: Simultaneous Linear Equations, N > n - CC BY-NC 4.0
- 1.9: Nonlinear Simultaneous Equations - CC BY-NC 4.0
- 1.10: 1.10- Besselian Interpolation - CC BY-NC 4.0
- 1.11: Fitting a Polynomial to a Set of Points - Lagrange Polynomials and Lagrange Interpolation - CC BY-NC 4.0
- 1.12: Fitting a Least Squares Straight Line to a Set of Observational Points - CC BY-NC 4.0
- 1.13: Fitting a Least Squares Polynomial to a Set of Observational Points - CC BY-NC 4.0
- 1.14: Legendre Polynomials - CC BY-NC 4.0
- 1.15: Gaussian Quadrature - the Algorithm - CC BY-NC 4.0
- 1.16: Gaussian Quadrature - Derivation - CC BY-NC 4.0
- 1.17: Frequently-needed Numerical Procedures - CC BY-NC 4.0
- 2: Conic Sections -
CC BY-NC 4.0
- 2.1: The Straight Line - CC BY-NC 4.0
- 2.2: The Ellipse - CC BY-NC 4.0
- 2.3: The Parabola - CC BY-NC 4.0
- 2.4: The Hyperbola - CC BY-NC 4.0
- 2.5: Conic Sections - CC BY-NC 4.0
- 2.6: The General Conic Section - CC BY-NC 4.0
- 2.7: Fitting a Conic Section Through Five Points - CC BY-NC 4.0
- 2.8: Fitting a Conic Section Through n Points - CC BY-NC 4.0
- 3: Plane and Spherical Trigonometry -
CC BY-NC 4.0
- 3.1: Introduction - CC BY-NC 4.0
- 3.2: Plane Triangles - CC BY-NC 4.0
- 3.3: Cylindrical and Spherical Coordinates - CC BY-NC 4.0
- 3.4: Velocity and Acceleration Components - CC BY-NC 4.0
- 3.5: Spherical Triangles - CC BY-NC 4.0
- 3.6: Rotation of Axes, Two Dimensions - CC BY-NC 4.0
- 3.7: Rotation of Axes, Three Dimensions. Eulerian Angles - CC BY-NC 4.0
- 3.8: Trigonometrical Formulas - CC BY-NC 4.0
- 4: Coordinate Geometry in Three Dimensions -
CC BY-NC 4.0
- 4.1: Introduction - CC BY-NC 4.0
- 4.2: Planes and Straight Lines - CC BY-NC 4.0
- 4.3: The Ellipsoid - CC BY-NC 4.0
- 4.4: The Paraboloid - CC BY-NC 4.0
- 4.5: The Hyperboloid - CC BY-NC 4.0
- 4.6: The Cylinder - CC BY-NC 4.0
- 4.7: The Cone - CC BY-NC 4.0
- 4.8: The General Second Degree Equation in Three Dimensions - CC BY-NC 4.0
- 4.9: Matrices - CC BY-NC 4.0
- 5: Gravitational Field and Potential -
CC BY-NC 4.0
- 5.1: Introduction - CC BY-NC 4.0
- 5.2: Gravitational Field - CC BY-NC 4.0
- 5.3: Newton's Law of Gravitation - CC BY-NC 4.0
- 5.4: The Gravitational Fields of Various Bodies -
CC BY-NC 4.0
- 5.4.1: Field of a Point Mass - CC BY-NC 4.0
- 5.4.2: Field on the Axis of a Ring - CC BY-NC 4.0
- 5.4.3: Plane discs - CC BY-NC 4.0
- 5.4.4: Infinite Plane Laminas - CC BY-NC 4.0
- 5.4.5: Hollow Hemisphere - CC BY-NC 4.0
- 5.4.6: Rods - CC BY-NC 4.0
- 5.4.7: Solid Cylinder - CC BY-NC 4.0
- 5.4.8: Hollow Spherical Shell - CC BY-NC 4.0
- 5.4.9: Solid Sphere - CC BY-NC 4.0
- 5.4.10: Bubble Inside a Uniform Solid Sphere - CC BY-NC 4.0
- 5.5: Gauss's Theorem - CC BY-NC 4.0
- 5.6: Calculating Surface Integrals - CC BY-NC 4.0
- 5.7: Potential - CC BY-NC 4.0
- 5.8: The Gravitational Potentials Near Various Bodies -
CC BY-NC 4.0
- 5.8.1: Potential Near a Point Mass - CC BY-NC 4.0
- 5.8.2: Potential on the Axis of a Ring - CC BY-NC 4.0
- 5.8.3: Plane Discs - CC BY-NC 4.0
- 5.8.4: Infinite Plane Lamina - CC BY-NC 4.0
- 5.8.5: Hollow Hemisphere - CC BY-NC 4.0
- 5.8.6: Rods - CC BY-NC 4.0
- 5.8.7: Solid Cylinder - CC BY-NC 4.0
- 5.8.8: Hollow Spherical Shell - CC BY-NC 4.0
- 5.8.9: Solid Sphere - CC BY-NC 4.0
- 5.9: Work Required to Assemble a Uniform Sphere - CC BY-NC 4.0
- 5.10: Nabla, Gradient and Divergence - CC BY-NC 4.0
- 5.11: Legendre Polynomials - CC BY-NC 4.0
- 5.12: Gravitational Potential of any Massive Body - CC BY-NC 4.0
- 5.13: Pressure at the Centre of a Uniform Sphere - CC BY-NC 4.0
- 6: The Celestial Sphere -
CC BY-NC 4.0
- 6.1: Introduction to the Celestial Sphere - CC BY-NC 4.0
- 6.2: Altazimuth Coordinates - CC BY-NC 4.0
- 6.3: Equatorial Coordinates - CC BY-NC 4.0
- 6.4: Conversion Between Equatorial and Altazimuth Coordinates - CC BY-NC 4.0
- 6.5: Ecliptic Coordinates - CC BY-NC 4.0
- 6.6: The Mean Sun - CC BY-NC 4.0
- 6.7: Precession - CC BY-NC 4.0
- 6.8: Nutation - CC BY-NC 4.0
- 6.9: The Length of the Year - CC BY-NC 4.0
- 6.10: Problems - CC BY-NC 4.0
- 6.11: Solutions - CC BY-NC 4.0
- 7: Time - CC BY-NC 4.0
- 8: Planetary Motions - CC BY-NC 4.0
- 9: The Two Body Problem in Two Dimensions -
CC BY-NC 4.0
- 9.1: Kepler's Laws - CC BY-NC 4.0
- 9.2: Kepler's Second Law from Conservation of Angular Momentum - CC BY-NC 4.0
- 9.3: Some Functions of the Masses - CC BY-NC 4.0
- 9.4: Kepler's First and Third Laws from Newton's Law of Gravitation - CC BY-NC 4.0
- 9.5: Position in an Elliptic Orbit - CC BY-NC 4.0
- 9.6: Position in a Parabolic Orbit - CC BY-NC 4.0
- 9.7: Position in a Hyperbolic Orbit - CC BY-NC 4.0
- 9.8: Orbital Elements and Velocity Vector - CC BY-NC 4.0
- 9.9: Osculating Elements - CC BY-NC 4.0
- 9.10: Mean Distance in an Elliptic Orbit - CC BY-NC 4.0
- 10: Computation of an Ephemeris -
CC BY-NC 4.0
- 10.1: Introduction to an Ephemeris - CC BY-NC 4.0
- 10.2: Elements of an Elliptic Orbit - CC BY-NC 4.0
- 10.3: Some Additional Angles - CC BY-NC 4.0
- 10.4: Elements of a Circular or Near-circular Orbit - CC BY-NC 4.0
- 10.5: Elements of a Parabolic Orbit - CC BY-NC 4.0
- 10.6: Elements of a Hyperbolic Orbit - CC BY-NC 4.0
- 10.7: Calculating the Position of a Comet or Asteroid - CC BY-NC 4.0
- 10.8: Quadrant Problems - CC BY-NC 4.0
- 10.9: Computing an Ephemeris - CC BY-NC 4.0
- 10.10: Orbital Elements and Velocity Vector - CC BY-NC 4.0
- 10.11: Hamiltonian Formulation of the Equations of Motion - CC BY-NC 4.0
- 11: Photographic Astrometry - CC BY-NC 4.0
- 12: CCD Astrometry - CC BY-NC 4.0
- 13: Calculation of Orbital Elements -
CC BY-NC 4.0
- 13.1: Introduction to Calculating Orbital Elements - CC BY-NC 4.0
- 13.2: Triangles - CC BY-NC 4.0
- 13.3: Sectors - CC BY-NC 4.0
- 13.4: Kepler's Second Law - CC BY-NC 4.0
- 13.5: Coordinates - CC BY-NC 4.0
- 13.6: Example - CC BY-NC 4.0
- 13.7: Geocentric and Heliocentric Distances - First Attempt - CC BY-NC 4.0
- 13.8: Improved Triangle Ratios - CC BY-NC 4.0
- 13.9: Iterating - CC BY-NC 4.0
- 13.10: Higher-order Approximation - CC BY-NC 4.0
- 13.11: Light-time Correction - CC BY-NC 4.0
- 13.12: Sector-Triangle Ratio - CC BY-NC 4.0
- 13.13: Resuming the Numerical Example - CC BY-NC 4.0
- 13.14: Summary So Far - CC BY-NC 4.0
- 13.15: Calculating the Elementss - CC BY-NC 4.0
- 13.16: Topocentric-Geocentric Correction - CC BY-NC 4.0
- 13.17: Concluding Remarks - CC BY-NC 4.0
- 14: General Perturbation Theory -
CC BY-NC 4.0
- 14.1: Introduction to General Perturbation Theory - CC BY-NC 4.0
- 14.2: Contact Transformations and General Perturbation Theory - CC BY-NC 4.0
- 14.3: The Poisson Brackets for the Orbital Elements - CC BY-NC 4.0
- 14.4: Lagrange's Planetary Equations - CC BY-NC 4.0
- 14.5: Motion Around an Oblate Symmetric Top - CC BY-NC 4.0
- 15: Special Perturbations - CC BY-NC 4.0
- 16: Equivalent Potential and the Restricted Three-Body Problem -
CC BY-NC 4.0
- 16.1: Introduction - CC BY-NC 4.0
- 16.2: Motion Under a Central Force - CC BY-NC 4.0
- 16.3: Inverse Square Attractive Force - CC BY-NC 4.0
- 16.4: Hooke's Law - CC BY-NC 4.0
- 16.5: Inverse Fourth Power Force - CC BY-NC 4.0
- 16.6: The Collinear Lagrangian Points - CC BY-NC 4.0
- 16.7: The Equilateral Lagrangian Points - CC BY-NC 4.0
- 17: Visual Binary Stars - CC BY-NC 4.0
- 18: Spectroscopic Binary Stars -
CC BY-NC 4.0
- 18.1: Introduction to Spectroscopic Binary Stars - CC BY-NC 4.0
- 18.2: The Velocity Curve from the Elements - CC BY-NC 4.0
- 18.3: Preliminary Elements from the Velocity Curve - CC BY-NC 4.0
- 18.4: Masses - CC BY-NC 4.0
- 18.5: Refinement of the Orbital Elements - CC BY-NC 4.0
- 18.6: Finding the Period - CC BY-NC 4.0
- 18.7: Measuring the Radial Velocity - CC BY-NC 4.0
- Back Matter - Undeclared