Download books for free. Numerical Methods Chapter 5: Section 5.13 (Pressure at the Centre of a Uniform Sphere) added. Axial tilt (2,917 words) [view diff] case mismatch in snippet view article find links to article Group on cartographic coordinates and rotational elements: 2006". Electric Fields Advancements in optical equipment have made the Celestial Navigation System (CNS) continuall… Chapter 5: Subsection 5.4.8: additional derivation of the zero field inside a spherical shell. Root mean square (RMS) amplitude is used especially in electrical engineering: the RMS is defined as the square root of the mean over time of the square of the vertical distance of the graph from the rest state; i.e. Chapter 10: Section 10.9: Equation 10.9.29: η changed to ε. Chapter 3: Section 3.5: Correction to Example 2. Now corrected. Chapter 2: Line beneath equation 2.3.33: Word “formulae” corrected to “formula”. Each of these trajectories has its focus at the common centre of mass. Chapter 14 (General Perturbation Theory) added. Chapter 10 (Computation of an Ephemeris) added. The sources were either anonymous, vague, or speculative. Chapter 1: Section 1.2: A sentence added at the bottom of page 7. Chapter 5: Section 5.6: Broken figure V.19 repaired. Here is a link to some excellent material from J. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, … It is the angle from a reference direction, called the origin of longitude , to the direction of the ascending node,… Chapter 1: Extensive changes and additions. Chapter 9: Section 9.9: Page 24: Reference to figure IX.4 changed to IX.8. Chapter 9: Section 9.7: Equation 9.7.17 corrected. in celestial mechanics, and of course hamiltonian operators play a major part in quantum mechanics, although it is doubtful whether Sir William would have recognized his authorship in that connection. Chapter 1: section 11 (Frequently-needed Numerical Procedures) added. Eulerian Angles, The General Second Degree Equation in Three Dimensions, The Gravitational Fields of Various Bodies, The Gravitational Potentials Near Various Bodies, Work Required to Assemble a Uniform Sphere, Gravitational Potential of any Massive Body, Pressure at the Centre of a Uniform Sphere, Conversion Between Equatorial and Altazimuth Coordinates, Direct and Retrograde Motion, and Stationary Points, Kepler's Second Law from Conservation of Angular Momentum, Kepler's First and Third Laws from Newton's Law of Gravitation, Elements of a Circular or Near-circular Orbit, Calculating the Position of a Comet or Asteroid, Hamiltonian Formulation of the Equations of Motion, Geocentric and Heliocentric Distances - First Attempt, Contact Transformations and General Perturbation Theory, The Poisson Brackets for the Orbital Elements, Orbital Elements and the Position and Velocity Vector, Determination of the Elements of the True Orbit, Preliminary Elements from the Velocity Curve. Chapter 2: Section 2.8: Page 49: First line corrected to read "the value of λ that..." Equation γ = 0 is 3x + 2y - 19 = 0. The "book" on Celestial Mechanics is planned to be in two distinct parts. Chapter 6: Section 6.5: Page 10: Line 8: “north to south” corrected to “south to north”. Chapter 4: Section 4.4: Correction to first sentence. Celestial Mechanics, Jeremy B. Tatum, on line, accessed May 17, 2007. Chapter 16: Section 16.7: Eleven drawings of the equipotential surface added. Chapter 10: Section 10.7: Definition of heliocentric ecliptic coordinates re-written. Thank you to Cristian Roner and Juan Irias. Historically, celestial mechanics applies principles of physics ( classical mechanics ) to astronomical objects, such as stars and planets , to produce ephemeris data. Chapter 9: Section 9.5: Three lines above Eqn. Chapter 10: Section 10.3: Opening paragraph modified to include retrograde orbits. Thank you to Robert Sutton of San Antonio, Texas, for all of these. Celestial equator: The projection of the Earth's equator onto the celestial … In that case, the integration of the accelerations can be well approximated by relatively simple summations. Chapter 2: Section 2.2: Last line of the paragraph on The Conjugate Hyperbola: Correction to equation relating the eccentricities of a hyperbola and its conjugate. Chapter 2: Section 2.8: Correction to the equation for the conic section at the top of page 50. following equation 10.7.16. Chapter 4: Section 4.5: Correction to sentence preceding equation 4.5.3. Chapter 10: Section 10.7: p.8: Q changed to R in expression for. Chapter 9: Section 9.11: Paragraph 2: Reference to equation 2.13.6.changed to 2.3.16. TATUM: free download. Chapter 7: Updated with addition of Terrestrial Time (TT). Chapter 1: Section 1.2: Small addition to paragraph on page 6. Section 1.13: Grammatical mistake corrected in fifth line below equation 1.14.6. On-line books store on Z-Library | B–OK. Chapter 5: Section 5.7: "a" corrected to "at" in last paragraph of page 25. Chapter 2: Section 2.3: Equation 2.3.17e corrected. Chapter 2: Section 2.3: Equation 2.3.17b corrected. Chapter 16: Section 16.6: Equation 16.6.27, and expression four lines below equation 16.6.27 corrected. 5 -3 -2 -1 0 1 2 3-5-4.5-4-3.5-3-2.5-2-1.5-1 L 1 L 3 L 2 Equivalent potential x FIGURE XVI.5 and if there are no external torques on the system, the angular momentum L of the system will be conserved, and, to ensure this, the separation a of the two stars changes with mass fraction. Chapter 6: Section 6.7: Page 18: Line 7: (. Downey.). The LibreTexts libraries are Powered by MindTouch ® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Chapter 17: Section 17.4: Correction on page 8 to the slope of the line FC. Chapter 9: Section 9.9: Figure IX.9 overlapped text. Chapter 6: Section 6.5: Reference to figure IV.4 in penultimate paragraph changed to VI.4. following equation 9.9.4. Celestial Mechanics Classical Mechanics Geometric Optics Electricity and Magnetism Heat and Thermodynamics Physical Optics Max Fairbairn's Planetary Photometry Integrals and Differential Equations: Classical Mechanics (last updated: 2020 November 13) Chapter 1. Contributed by Jeremy Tatum Emeritus Professor (Physics & Astronomy) at University of Victoria Celestial mechanics is the branch of astronomy that deals with the motions of celestial … Download books for free. Thanks to Camille Milot. Chapter 6: Section 6.7: Addition of equations 6.7.10 - 6.7.12. Chapter 3: Section 3.7: Below equation 3.7.2: Reference to figure III.13 corrected to figure III.22. Chapter 13: Section 13.7: In the line immediately below equation 13.7.3, the solar symbol appended as a subscript to x has been changed to a lower-case “o”. Chapter 2: Section 2.6: Page 50: hbar is 3867358. Professor Tatum's course notes at the University of Victoria; References . Centres of Mass Chapter 9: Section 9.8: Equation 9.8.5 corrected. Chapter 1: Section 1.16: "The theorem given by equation 1.14.1" has been corrected to "The theorem given by equation 1.16.1". Chapter 1: Section 1.2: Additional example of an integral with an infinite upper limit. Chapter 1: Section 1.15: In example 4, changed x = tan θ to y = tan θ. Appendix B (Solutions to Miscellaneous Problems) added. Chapter 9: Section 9.5: Five lines above the Figure: Chapter 9: Section 9.6: Bottom of page 16: Reference to equation 9.5.4 corrected to 9.6.4. Chapter 9: Section 9.5: Extra factor M added to several equations. Chapter 6: Section 6.4: Calculation of LST corrected. Chapter 10: Section 10.9: Above equation 10.9.22: 10.7.1 changed to 10.7.10. Chapter 4: Section 4.8: Row 3: Column 1: 1 corrected to -1. Chapter 3: Section 3.5: A third method is given for finding the poles. This book enables students and curious minds to explore the mysteries of celestial motion without having to know advanced mathematics. Chapter 17: Section 17.4: Correction to sentence immediately preceding figure VII.3. Celestial Mechanics Classical Mechanics Geometric Optics Electricity and Magnetism Heat and Thermodynamics Physical Optics Max Fairbairn's Planetary Photometry Integrals and Differential Equations: 2019 November 5 Chapter 1: A new section added, on Difficult Integrals. Chapter 3: Clarification in paragraph below equation 3.7.5. Chapter 10: Section 10.11 (Hamiltonian Formulation of the Equations of Motion) added. Mathematical Preambles Chapter 1. Chapter 10: Section 10.10: Equation 10.10.5: “. Chapter 17: Section 17.4: A couple of sentences added on the solution of equation 9.6.4. Chapter 17: Section 17.4: Correction on pge 12 to the equation to the auxiliary ellipse. Forest R. Moulton, Introduction to Celestial Mechanics, 1984, Dover, ISBN 0486646874; John E.Prussing, Bruce A.Conway, Orbital Mechanics, 1993, Oxford Univ.Press Chapter 16: Section 16.5: Equation 16.5.1 corrected. Chapter 3: Section 3.7: Below equation 3.7.1: Reference to figure III.12 corrected to figure III.21. Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Chapter 3: Section 3.5: Corrections to solutions of Problem 12 and Example 2. Chapter 6: Section 6.3: near end of page 6: 12 hours changed to 6 hours. Chapter 10: Section 10.9: Above equation 10.9.63. Chapter 5: Section 5.11: Additional Legendre polynomials added. The longitude of the ascending node (☊ or Ω) is one of the orbital elements used to specify the orbit of an object in space. Chapter 16: "27.64" above figure XVI.6 corrected to "27/64". Chapter 3: Section 3.6: Equation 3.6.2: A prime removed from x on the RHS. Chapter 1: Additional material in section 2 (Numerical Integration). Explanation of 29.7846917 in example added. Chapter 9: Section 9.5: Corrections to equation 9.5.12 and in line above equation 9.5.23 - thank you again, Fabrizio. Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to produce ephemeris data. Chapter 9: Section 9.5: Below equation 9.5.34: Extraneous phrase “Chapter 9” removed. Chapter 2: Section 2.7: Cofactors given explicitly. Find books Chapter 1: Section 1.7: Correction to equation 1.7.5. Chapter 1: Misprint in equation 1.5.6 corrected. Chapter 13: Misprint to equation 13.15.12 corrected. The longitude of the ascending node (☊ or Ω) is one of the orbital elements used to specify the orbit of an object in space. Celestial Mechanics, Jeremy B. Tatum, on line, accessed May 17, 2007. Chapter 1: Corrections to equations 1.9.23, 24, 25. Arnold: "Mathematical Methods of Classical Mechanics", second edition, Springer, (1989) isbn 0-387-96890-3, second isbn: 3-540-96890-3. Chapter 9: Section 9.7: A fourth method added for solving for. Chapter 2: Section 2.3: A paragraph on similar and confocal ellipses added. Section 1.8. Chapter 9: Section 9.5: Above equation 9.5.17: Reference to equations 9.4.16 or 9.4.17 corrected to 9.5.15 or 9.5.16. Chapter 9: Section 9.5: Corrections to equations 9.5.25 and 9.5.26. Chapter 10: Section 10.9: Equation 10.9.24: η changed to, Chapter 10: Section 10.9: Equation 10.9.25: ζ changed to. Chapter 10: Section 10.9: Equation 10.9.16 corrected (. Chapters 1 and 5: a very few small cosmetic changes. 4 You might possibly have noticed that, in section 2, I had not properly defined the north point of the horizon other than by saying that it was the point marked N in figure VI.1. Chapter 5: Section 5.9: A “r” inserted in some of the equations. Fitting a Polynomial to a Set of Points. Thanks to Richard Sharpe. Chapter 10: Section 10.9: New equation 10.9.36b added. Chapter 5: Subsection 5.4.7 has been expanded to include a point inside the cylinder. Thanks to Richard Sharpe for both corrections. Celestial Mechanics Classical Mechanics Geometric Optics Electricity and Magnetism Heat and Thermodynamics Physical Optics Planetary Photometry Integrals and Differential Equations 2079 hits to this page since 2015 February 13. Grazie, Fabrizio. Chapter 9: Section 9.5: Font change in equation 9.5.37. Thanks to Christian Nitschelm, University of Antofagasta, Chile. Thanks to Ben Jose for spotting these errors. Chapter 1: Section 1.9: Following equation 1.9.4, approximate solution is x = 3.35. Chapter 1: Section 1.13: Two spelling mistakes corrected in first sentence following figure I.6D. Chapter 16: Section 16.1: Two lines under equation 16.1.15: reference to equation 16.1.19 corrected to 16.1.9. Chapter 3: Section 3.2: Page 5: Correction to Solution 3. Chapter 17: Section 17.4: Corrections to equations 17.4.2 to 17.4.5. One of them now removed. Chapter 10: Section 10.8: 3 lines from bottom: Chapter 10: Section 10.9: Equation 10.9.13: η changed to ε. Chapter 3: Section 3.5: Solution to second example expanded. Celestial sphere: A gigantic imaginary sphere surrounding a stationary Earth upon which the stars are affixed. Thanks to Abdulla Suleman. Chapter 3: Section 3.5: Correction to the penultimate line of the paragraph on Method ii on page 17. Chapter 3: Section 3.5: Correction to equations preceeding and following Figure III.17. Reflection and Refraction Chapter 2: Small addition to (v, E) relation in section 2.3. Chapter 16: Figures XVI.8 and XVI.9a added. Chapter 10: Section 10.9: Under equation 10.9.62, the numerical value of the Gaussian constant updated. Celestial motion without additional forces such as thrust of a rocket, is governed by gravitational acceleration of masses due to other masses.A simplification is the n-body problem, where the problem assumes some number n of spherically symmetric masses. In celestial mechanics these elements are generally considered in classical two-body systems, where a Keplerian orbit is used. Chapter 1: Section 1.11: Line 5: Expression for polynomial corrected. Chapter 14: Section 14.1: New equation 14.3.7 inserted, and subsequent equations renumbered. Lagrange Polynomials. Chapter 6: Section 6.8: Line 3: "notation" corrected to "nutation". Chapter 3: Cosmetic change to the five properties of an orthogonal matrix in section 3.5. Thanks to Fabrizio Panaioli. 2020 June 9 Chapter 1: Section 1.13: Correction to equation 1.13. Chapter 5: Section 5.8: Formula on last line of page 32 corrected. Appendix B: Addition of alternative solution to Problem 3, submitted by Pal Achintya of India. However, it is now regarded solely as a convenient descriptive tool. Celestial Mechanics Classical Mechanics Geometric Optics Electricity and Magnetism Heat and Thermodynamics Physical Optics Max Fairbairn's Planetary Photometry Integrals and Differential Equations: Electricity and Magnetism (last updated: 2020 April 17) Chapter 1. A prime removed from zeta in the following sentence. Chapter 9: Section 9.9: Additional material in solution to the numerical example. Celestial motion without additional forces such as thrust of a rocket, is governed by gravitational acceleration of masses due to other masses.A simplification is the n-body problem, where the problem assumes some number n of spherically symmetric masses. Chapter 9: Section 9.9: Page 25: Figure IX.9 repaired. Chapter 13: Section 7: Equation 13.7.7 corrected, numerical example recalculated. Chapter 9: Section 9.9: Example: Phrase “in case you are wondering” was repeated. Chapter 17: Section 17.1: Additions made to figures XVII.1 and XVII.4. Chapter 8: Section 8.4: Correction to formulas at the bottom of page 6. Chapter 2: Section 2.7: New material concerning tangents to a conic section, including new equations 2.7.18 − 2.7.21. NASA ADS (Astrophysics Data System) Virtual Library "Following are links to the online books relating to astronomy and astrophysics which can be browsed and printed on demand." Ebooks library. Chapter 1: Section 1.16: An alternative, simpler, derivation of equation 1.16.14 has been added. A small repair has been effected to figure V.8. Chapter 10: Clarification in calculation of n following equation 10.7.1. Chapter 6: Section 6.9: Paragraph 1: Last line: 365, Chapter 17: Changes to figure XVII.1 and equations 17.5.3,4,5,6. Chapter 2: Section 2.3: Equations 2.3.17d-g added. Chapter 9: Section 9.7: First line of page 20: Extraneous word “and” removed. Chapter 1: In line beneath equation 1.16.28, “interpolated” changed to “interpolate”. Chapter 17: Section 17.4: A link is given to an alternative method for finding the auxiliary ellipse. Chapter 13: Section 13.13: Hint given for solution of g. Chapter 1: Section 9: Corrections to equations 1.9.7 and 1.9.16. Thanks to Bob Rimmer. Chapter 15 (Special Perturbations) added. Thank you to Robert Sutton of San Antonio, Texas. Appendix A (Miscellaneous Problems) added. Chapter 6: Section 6.7: line 8: “and” changed to “an”. Chapter 9: Section 9.9: Numbers changed below equation 9.9.9. An Introduction to Celestial Mechanics by Forest Ray Moulton, 1914, PDF/DJVU/TXT; Celestial Mechanics by J. The celestial equator is the great circle ABW C. N S W Z X T T′ δ A B H P H Q φ • C FIGURE VI.2 Horizon . Chapter 4: Section 4.2: Subscript corrected in equation 4.2.40, Chapter 4: Section 4.7: Two lines below equation 4.7.3: “vertex” changed to “axis”. Meanings of minor planet names: 78001–79000 (340 words) exact match in snippet view article find links to article 78123 Dimare 2002 NQ5 Linda Dimare (born 1981), a researcher in celestial mechanics, mainly involved in the development of new algorithms and software. Chapter 3: Section 3.2: Equation 3.2.3: cos C corrected to sin C. Chapter 3: Section 3.5: Equation 3.5.10: minus sign corrected to =. Chapter 13: Section 13.4: The new definition of the Astronomical Unit approved by the International Astronomical Union in 2012 has been inserted into this Section. Reference to Section 9.70 changed to 9.7. Celestial Mechanics Classical Mechanics Geometric Optics Electricity and Magnetism Heat and Thermodynamics Physical Optics Max Fairbairn's Planetary Photometry Integrals and Differential Equations: 2020 July 12 Chapter 9: Section 9.5: Corrections to equations 9.5.25 and 9.5.26. Chapter 5: Subsection 5.8.6: Corrections to Equation 5.8.15 and to the equation at the top of page 33. Chapter 11: Penultimate line of chapter: "and" corrected to "any". Determinant is aabar+hhbar+ggbar. It will whet the reader’s curiosity to explore further and provide him or her the tools (mathematical or physical) to do so. Chapter 3: Section 3.2: Page 5: Solution to problem 6 corrected. Thanks to Richard Sharpe. Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Chapter 13: Section 13.9: Correction on line 4. Chapter 17: Section 17.4: Change in font for some of the symbols, and explanation thereof. It is the angle from a reference direction, called the origin of longitude, to the direction of the ascending node, measured in a reference plane. Celestial Mechanics - Scholarpedia; An Introduction to Celestial Mechanics PDF File | by Richard Fitzpatrick, Professor of Physics, University of Texas. Chapter 1: Section 1.2: Page 6: A change to the first integral in the middle of page 6. In that case, the integration of the accelerations can be well approximated by relatively simple summations. Chapter 17: Section 17.4: Page 12: Calculation re-done. Chapter 1: Section 1.2: Page 6: In the third integral, the 2 has been moved to inside the square root. Find books Three equations relabelled. Chapter 10: Section 10.7: K added to figure X.2. Chapter 9: Section 9.5: Correction to line following equation 9.5.4. Chapter 5: Section 5.5: Page 25: Reference to figure V.20 changed to V.21. Chapter 9 (Two Body Problem in Two Dimensions) added. Chapter 2: Section 2.2: Angle in figure II.1 changed from alpha to theta. Chapter 4: Section 4.2: The part on distance from a point to a plane re-written. Thanks to Juan Irias. "Ellipse" corrected to "hyperbola" Chapter 2: Corrections to equations 2.3.17b, 2.3.17e. In the second part we move on to astronomical topics. Lagrange Interpolation. Chapter 6: Section 6.5: Page 10: South pole of the ecliptic is in Dorado, not Mensa. Chapter 3: Section 3.4: Font changes on left hand side of equation 3.4.16. Celestial Mechanics Classical Mechanics Geometric Optics Electricity and Magnetism Heat and Thermodynamics Physical Optics Max Fairbairn's Planetary Photometry Integrals and Differential Equations: Celestial Mechanics (last updated: 2020 July 12) Part I. Chapter 2: Section 2.4: Following equation 2.4.11, the coordinates of F are (. Chapter 2: Section 2.3: Correction to equations 2.3.12. 9.5.33. corrected. Chapter 9: Section 9.9: Addition made to figure IX.9. Chaptrer 9: Section 11 (Mean Distance in an Elliptic Orbit) added. Chapter 1: Section 1.13: Correction to equation 1.13. Chapter 8: Fifth paragraph: Two sentences added concerning the 2012 IAU redefinition of the AU. Chapter 11 (Photographic Astrometry) added. It was once believed that the celestial sphere was real. Chapter 10: Section 10.9: Sentence below equation 10.9.21 modified. Thanks to Benjamin Jose for spotting these errors. Celestial mechanics | Tatum J.B. | download | B–OK. Chapter 10: Section 10.9: Clarification made beneath equation 10.9.60. Chapter 13: Section 13.15: Middle of page 27: Subscript 3 changed to 2. Chapter 1: Solution to equations 1.9.3 and 1.9.4 re-written for greater clarity. Chapter 1: Section 1.7: Correction to right hand side of equation 1.7.3. Chapter 9: Section 9.5: Page 5: In line under equation 9.5.6, "us" changed to "is". In an article that was widely anticipated by the UFO community, Tim McMillan of The Debrief provides several nuggets of stories and information that will surely excite many, and provide a welcome distraction for some reporters, but ultimately does not advance the quest for actual physical evidence. Chapter 2: Section 2.3: "Auxiliary circle" defined. Chapter 2: Section 2.4: In figure II.25, the symbol b has been moved to indicate an obtuse angle. It is also well worth mentioning, however, that Tatum is largely skeptical of concluding that the unseen object is a planet without additional supporting evidence. Navigation systems are crucial space detector components. Chapter 17: Section 17.3: Line 5 beneath figure XVII.2: Reference to “Section 6.3 of Chapter 4” changed to “Section 6.4 of Chapter 6”. Thanks to Juan Irias. Chapter 1. Chapter 13: Extensive revisions throughout the chapter. Chapter 9: Section 9.8: Opening paragraph updated to include mention of the interstellar object Oumuamua. Chapter 6: Section 6.4: line 6: 2000 changed to 2002. ... (Jeremy B. Tatum, The Observatory, Vol. Chapter 17: Section 17.4: Page 9: Correction to definition of. Celestial Mechanics is a Planetarium Artwork created by D. S. Hessels and G. Dunne; Course notes. Chapter 2: Section 2.5: Additional material on the hyperbola - its equation referred to the asymptotes. Chapter 8: Section 8.1: "do" corrected to "to" in paragraph 3. Chapter 7: Page 5: Line 5: A closing parenthesis has been inserted after UT. The first part will not have any astronomy in it, but will contain merely some mathematical preambles such as a review of some numerical methods, plane and spherical trigonometry and conic sections. Chapter 18 (Spectroscopic Binary Stars) added. Chapter 9: Figures IX.8 and IX.9 repaired. Chapter 16 (Equivalent Potential and the Restricted Three-Body Problem) added. Angle between δ. B. Tatum, 2013, multiple PDFs, 8.3 MB Chapter 5: Section 5.5: Page 21: Reference to figureV.16 changed to V.17. Chapter 11: Correction to equation 11.2.2. Chapter 4: Section 4.2: Corrections to equations 4.2.34-40, and two spelling mistakes in that section. 14.2 A Thermodynamics Analogy Readers may have noticed from time to time – … Chapter 2: Section 2.3: A short exercise added below figure II.10. When viewed from an inertial frame, two orbiting bodies trace out distinct trajectories. The classical mechanics consists of three basic sections - a statics, kinematics and dynamics. Numerical correction for alpha Celestial Mechanics Classical Mechanics Geometric Optics Electricity and Magnetism Heat and Thermodynamics Physical Optics Max Fairbairn's Planetary Photometry Integrals and Differential Equations: Geometric Optics (last updated: 2020 November 13) Chapter 1. Chapter 9: Section 9.7: Above equation 9.7.5: Reference to equation 9.6.10b corrected to 9.7.10b. Recent observations of regularly pulsating x-ray sources in binary star systems are analyzed in the framework of the "emission" theory of light. Chapter 7: Page 4: Line 12: The word "the" at the beginning has been replaced with the word "to". Chapter 16: Correction to left hand side of equation 16.1.1. Chapter 17: Correction to equation 17.4.8. Chapter 3: Section 3.8: Formulas for tangents of multiple angles supplied. Quantum mechanics is based on a number of advanced mathematical ideas that are described in this section. Chapter 8: Section 8.4: Correction to formulas at the bottom of page 6. Chapter 2: Section 2.7: Much new material at the end of the section. Chapter 9: Section 9.5: Additional material at end, thanks to Bob Rimmer. Missing equality sign inserted in equation 1.8.16. Chapter 13: Section 13.13: Page 23: Line 2: "out" changed to "our". (Thanks to E. C. Chapter 9: Section 9.7: Subsection "Method 4" (between equations 9.7.15 and 9.7.17) changed to "Method 3". Chapter 9: Section 9.5: “Feynmann” corrected to “Feynman”. Fitting a Least Squares Straight Line to a Set of Observational Points, Fitting a Least Squares Polynomial to a Set of Observational Points, Fitting a Conic Section Through Five Points, Rotation of Axes, Three Dimensions. Chapter 11: Labelling of figures changed after figure XI.3. Chapter 1. Chapter 1: Section 1.7: Correction to the last line of calculation on Page 24. Chapter 5 (Gravitational Field and Potential) added. Chapter 3: Section 3.3: three lines from bottom of page 8: Chapter 4: Section 4.2: Solutions to example at bottom of page 6 corrected. Thanks to Esmat Bekir for spotting these errors. Chapter 9: Additional exercise in section 9.6 for solution of Kepler's equation. Shortened and with improved notation and fonts. Chapter 8: Section 8.2: E and W on figure VIII.2 interchanged. Chapter 3: Section 3.5: Some corrections to answers to problems 10-21. Chapter 10: Section 10.10: Line 3: “three” changed to “six”. Chapter 5: two sections 5.11 (Legendre Polynomials) and 5.12 (Gravitational Potential of any Massive Body) added, plus minor font improvements. Grazie, Fabrizio. Chapter 13: Section 13.5: Definition of heliocentric ecliptic coordinates re-written. Thanks to Tomer Shenar of Potsdam. Chapter 6: Section 6.9: Spelling mistake ("ecliptic") corrected. Chapter 1: Section 1.7: Line 5 of calculation: Coefficient of x 2 corrected from 5 to -5. Chapter 13 (Calculation of Orbital Elements) added. Chapter 5: Subsection 5.8.2: Page 31: line 2: Reference to equation 5.4.1 corrected to 5.4.4. New material concerning uniqueness of solutions added. Chapter 5: Section 5.12: In text following equation 5.12.3: Missing subscript to C corrected. 5 of Calculation: Coefficient of x 2 tatum celestial mechanics from 5 to -5 confocal added... Reference to figureV.16 changed to VI.4 to 9.7.10b 2020 June 9 chapter 1: Section:. 3.8: formulas for tangents of multiple angles supplied south to north ” that are described in this.... Figure III.17 figure X.2, on line, accessed May 17, 2007 three ” changed to “ to., it is now regarded solely as a convenient descriptive tool Section 8.2: E and W on VIII.2! Section 3.5: Correction to equations 9.5.25 and 9.5.26 bottom of Page 27: 3... 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