Table of Contents
Some Symbols and Abbreviations 5
1. Hints and Tips 7
2. About Accuracy 15
3. Interpolation 23
4. Curve Fitting 35
5. Iteration 47
6. Sorting Numbers 55
7. Julian Day 59
8. Date of Easter 67
9. Jewish and Moslem Calendars 71
10. Dynamical Time and Universal Time 77
11. The Earth’s Globe 81
12. Sidereal Time at Greenwich 87
13. Transformation of Coordinates 91
14. The Parallactic Angle 97
15. Rising, Transit and Setting 101
16. Atmospheric Refraction 105
17. Angular Separation 109
18. Planetary Conjunctions 117
19. Bodies in a Straight Line 121
20. Smallest Circle Containing Three Celestial Bodies 127
21. Precession 131
22. Nutation and the Obliquity of the Ecliptic 143
23. Apparent Place of a Star 149
24. Reduction of Ecliptical Elements from One Equinox to Another One 159
25. Solar Coordinates 163
26. Rectangular Coordinates of the Sun 171
27. Equinoxes and Solstices 177
28. Equation of Time 183
29. Ephemeris for Physical Observations of the Sun 189
30. Equation of Kepler 193
31. Elements of the Planetary Orbits 197
32. Positions of the Planets 217
33. Elliptic Motion 223
34. Parabolic Motion 241
35. Near-Parabolic Motion 245
36. The Calculation of some Planetary Phenomena 249
37. Pluto 263
38. Planets in Perihelion and Aphelion 269
39. Passages through the Nodes 275
40. Correction for Parallax 279
41. Illuminated Fraction of the Disk and Magnitude of a Planet 283
42. Ephemeris for Physical Observations of Mars 287
43. Ephemeris for Physical Observations of Jupiter 293
44. Positions of the Satellites of Jupiter 301
45. The Ring of Saturn 317
46. Positions of the Satellites of Saturn 323
47. Position of the Moon 337
48. Illuminated Fraction of the Moon’s Disk 345
49. Phases of the Moon 349
50. Perigee and Apogee of the Moon 355
51. Passages of the Moon through the Nodes 363
52. Maximum Declinations of the Moon 367
53. Ephemeris for Physical Observations of the Moon 371
54. Eclipses 379
55. Semidiameters of the Sun, Moon and Planets 389
56. Stellar Magnitudes 393
57. Binary Stars 397
58. Calculation of a Planar Sundial 401
Appendix I Constants 407
Appendix II Some Astronomical Terms 409
Appendix III Planets: Periodic Terms 413
Appendix IV Coefficients for the Heliocentric Coordinates of
Jupiter to Neptune, 1998–2025 455
Index
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