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        2007-12-18

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Fig. 2 Falling Rate Diff.

 

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Summary
Intro and History
Newton’s Gravity
Trojan Points and Bodies
Tadpole-Horseshoe Orbits
... Oversights
21st Century Astronomy
APPENDIX
Fig. 1 Bodies and Vectors
Fig. 2 Falling Rate Diff.
Fig. 3 Centers of Mass
Fig. 4 Lagrangian Points
Fig. 5 Tadpoles-Horseshoes
Fig. 6a Ternaries?
Fig. 6b Ternaries?
Author

Newton’s... Oversight
Einstein’s... Oversights
Entropy’s... Oversights
Comet Origins
Cosmology... Oversights
Creationism... Oversights

Newton’s Great... Oversight
Galileo’s Falling Bodies and Lagrange’s Trojan Asteroids
With Their Tadpole and Horseshoe Orbits

 

8          FIGURES (cont.)

Figure 2. The difference in falling rates as a function of angle separation in degrees.

NOTE: it zeroes at 60 degrees, when all 3 bodies are at the vertices of an equilateral triangle.

NOTE ALSO: the spike upward (hard to see) at 0 degrees is the Mathcad false 0 for the singularity at 0 degrees.

NOTE TOO: this falling rate difference would in fact be zero if the masses of the lighter and “heavier” bodies were equal, since it is plotted from the falling rate equation given earlier.

(Plotted with Mathcad 2000.)

 

 

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