Download Mathematical Astronomical Morsels IV

Mathematical Astronomical Morsels IV
Table of Contents
Notes on Dates and Time Reckoning
The Moon
1 About the phases of the Moon
2 Northernmost and southernmost Full Moons
3 Full Moon and opposition in right ascension
4 The Moon as a boat
Eclipses
5 Total solar eclipses of long duration in the United Sates
6 Total solar eclipses of long duration in Europe
7 The total solar eclipse of 2015 March 20 at the North Pole
8 The maximum possible duration of an annular solar eclipse
9 Solar eclipses with long “complete” duration
10 Central line and maximum duration of totality
11 Wide paths
12 When only a part of the shadow passes over the Earth
13 Central eclipses at midnight
14 About the speed of the Moon’s shadow
15 The length of the solar crescent during a partial solar eclipse
16 Proliferation of local solar eclipses
17 The period of 112 years
18 About successive partial solar eclipses
19 A “strange effect” at eclipses and occultations
20 A new type of solar eclipse
21 Solar eclipses: a region of visibility with two nodes
22 Tetrads and solar eclipses
23 Saros and Inex series of lunar eclipses
24 The length of Saros series and the frequency of solar eclipses
25 Remarkable distributions of eclipses
26 About partial solar and lunar eclipses
27 Intervals between lunar eclipses
28 A special type of lunar eclipse
29 Lunar eclipses and Full Moon
30 Northernmost and southernmost lunar eclipses
Occultations
31 About the occultations of Antares, Aldebaran, and Beta Tauri
32 Groups of occultations of planets
33 Occultations of bright stars by Jupiter and Saturn
34 Uranus, Neptune, and bright stars
Planetary Motions
35 Asteroids of the Hilda group
36 The minor planet Thule
37 Hidalgo and friends
38 Pseudotrojans
39 Periodicities in the world of the minor planets
40 About the orbital inclinations of the asteroids
Planetary Phenomena
41 The motion of periodic comet Halley
42 True and angular distances
43 About the visibility of Mercury
44 On the greatest elongations of Mercury and Venus
45 Nearly-simultaneous inferior conjunctions of Mercury and Venus
46 More about the Venus-Jupiter conjunctions
47 About the conjunctions of Mars
48 Mars and the Pleiades
49 Quintuple conjunctions
50 Planet-planet oppositions
51 Trying to solve the problem
52 Playing with orbital elements
53 Satellites of Jupiter: simultaneous greatest elongations
54 When a satellite occults a shadow
55 The wrong periodicity of d’Arrest
56 Transits of Earth as seen from Jupiter
57 Ring sighting
Varia
58 Decreasing right ascensions
59 A calendrical problem
60 Delta T
61 The puzzling relation between sidereal time and Universal Time
62 About the latitude of the Sun
63 The declination of the Sun at the equinoxes and at the solstices
64 The dip of the horizon and the times of sunrise and sunset
65 About the rate of change in daylight length
66 How long is the Earth’s shadow cone?
67 The 13th day
68 Peculiarities about minor planet names
Index