Contents:
Astronomy of the Earth's motion in space:
Introduction to this part
1. Stargazers and Skywatchers
1a. The Celestial Sphere
1b. Finding the Pole Star
2. The Path of the Sun, the Ecliptic
2a. Building a Sundial
3. Seasons of the Year
3a. The Angle of the Sun's Rays
4. The Moon: the Distant View
4a. The Moon: A Closer Look
4b. Optional: Libration of the Moon
5. Latitude and Longitude
5a. Navigation
5b. The CrossStaff
5c. Coordinates
6. The Calendar
6a. The Jewish Calendar (optional)
7. Precession
8. The Round Earth and Christopher Columbus
8a. Distance to the Horizon
8b. Parallax
8c. How Distant is the Moon?1
8d. How Distant is the Moon?2
The central role of the Sun
9a. Aristarchus: Is Earth Revolving around the Sun?
.
9a1.
The Earth's Shadow
9b. The Planets

"The Solar SystemGeneral Overview," February 2008



9c. Copernicus, Galileo, and the Discovery of the Solar System
10. Kepler and his Laws
10a1.
Kepler's 3rd law (Optional)
10a. The Scale of the Solar System
11. Graphs and Ellipses
11a. Ellipses and Kepler's First Law
11b. Alien Planets
12. Kepler's Second Law
12a. More on Kepler's Second Law
12b. How Orbital Motion is Calculated
Optional: The 2004 Transit of Venus
12c. Halley's Method of Deriving the AU
12d. The displacement D of the track of Venus
12e. Deriving the Astronomical Unit
Newtonian mechanics
13. The Way Things Fall
14. Vectors
15. Energy
15a. Atmospheric Energy and Climate (optional)
16. Newton and his Laws
17. Mass
17a. Mass Measurements aboard Space Station Skylab
17b. Comparing Masses without the Use of Gravity
18. Newton's Second Law
18a. Newton's Third Law
18b. Momentum
18c. Work
18d. Work against an Electric Force: The Van de Graaff Generator
19. Motion in a Circle
20. Newton's theory of "Universal Gravitation"
21. Kepler's Third Law
21a. Applying Kepler's Third Law
Optional: Spaceflight to Mars
21b. Flight to Mars: How Long? Along what Path?
21c. Flight to Mars: Calculations
21d. Flight to Mars: the Return Trip
22. Frames of Reference: The Basics
22a The Aberration of Starlight
22b The Theory of Relativity
22c Airplane Flight
22d Airplane Flight: How high? How fast? (optional)
23. Accelerated Frames of Reference: Inertial Forces
23a Frames of Reference: The Centrifugal Force
23b LooptheLoop (optional)
24a. The Rotating Earth
24b. Rotating Frames of Reference in Space and on Earth
.
The Sun and related Physics
The SunIntroduction
How the Sun produces weather and climate
S1. Sunlight and the Earth
S1A. Weather and the Atmosphere
S1B. Global Climate, Global Wind flow
S2. Our View of the Sun
S3. The Magnetic Sun
S3A. Interplanetary Magnetic Field Lines
S4. The Many Colors of Sunlight
S4A. Experimenting with Colors
Optional: The Doppler Effect
S5. Waves and Photons
S6. Seeing the Sun in a New Light
S7. The Energy of the Sun
Peripheral Subjects related to section S7 above:
LS7A The Discovery of Atoms and Nuclei
(A very quick overview of the relevant history.)
S7A The Black Hole at the Center of our Galaxy
S7B Encounter at the Galactic Center
S8. Nuclear Power

S8A "Nuclear Energya more detailed overview"
Contributed in 2009 to a highschool supplementary "Flexbook," updating science instruction in the state of Virginia and sponsored by CK12, inc.


S9. Nuclear Weapons
.Spaceflight and Spacecraft
25. The Principle of the Rocket
26. Robert Goddard and his Rockets
27. The Evolution of the Rocket
28. Spaceflight
29. Spacecraft
29a. Satellites observing the Sun, solar system and the universe
29b. Satellites observing Earth from above
29c. Satellites which observe the local space environment
29d. Satellites for commercial benefits
29e. Missions to planets and distant space
30. Farout Pathways to Space: Great Guns?
30a. Project HARP and the Martlet
31. Farout Pathways to Space: Nuclear Power
32. Farout pathways to Space: Solar Sails
32a. Early Warning of Interplanetary Disturbances
33. Ion Rockets
34. Orbits in Space
34a. The Distance to the L1 Point
34b. The L4 and L5 Lagrangian Points
34c. The L4 and L5 PointsAnother Derivation
35. Starships
35a. Planetary Swingby and the Pelton Turbine
Afterword: "Do Frogs Exist there Too ?"
A Math Refresher
Home page
Elements of algebra
(M1) Basic ideas
(M1A) Algebra Proficiency Drill
(M2) How it all started
(M3) Formulas
(M4) Identities
(M5) Deriving Approximate Results
(M6) The Theorem of Pythagoras
(M6a) Beyond Pythagoras
(optional)
Elements of trigonometry
(M7) What is it good for?
(M8) How to tell sines from cosines
(M9) Deriving sines and cosines
(M10) Going past 90 degrees
(M11) Deriving sin(α+β), cos(α+β).
(M11A) Trigonometry Proficiency Drill
(M12) The Tangent
Elements of logarithms
(M13) Logarithms  Introduction
(M14) Powers of Numbers
(M15) Raising one Power to Another
(M16) Deriving Approximate Logarithms
And for the adventurous:
(M17) The number "e"
(M18) Natural Logarithms
Helpful Material
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Annotated Timeline (Chronology with links and added dates from history).