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        2007-12-18

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Fig. 3 Centers of Mass

 

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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 3. The 3 masses and 2 of their centers of mass.

The 3 masses at the vertices of an equilateral triangle, with each side of the triangle a unit distance in length, and with both the masses m1 and m2 positioned on the x-axis (y = 0) and equidistant from the y-axis (x = 0). Each mass of an equilateral triangle of masses sees the center of mass of the other 2 and the center of mass of all 3 line up with itself.

This drawing assumes that the mass of m1 is greater than the mass of m2 which is greater than the mass of m3.

 

 

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