All Questions
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Do all bodies in a 3-body system orbit their center of mass with respect to each of the other bodies?
Scenario
Consider an empty universe with just the Earth, Moon and the Sun. The Earth and the Sun will rotate about their center of mass, which is inside the Sun. The Earth and the Moon will orbit ...
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Taylor expansion of the acceleration between Sun and Moon [closed]
We consider the tree body system (Sun, Earth, Moon) in the reference frame centered in the Earth rotating with angular velocity $\Omega$ around the Sun.
Let $\vec{y}=(y_1,y_2,y_3)$ be the time ...
- 180
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Satellite passing near Lagrangian points
Kepler's third law states that
$$\frac{r^3}{T^2} = \frac{G (M+m)}{4 \pi^2}$$
for circular orbits. I know that all Kepler's laws work well when the smaller bodies don't have a significant gravitational ...
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Restricted 3-body problem - Rotating coordinate system
I'm trying to follow the formulation of the restricted 3-body problem in Taff's "Celestial Mechanics" book as I'm writing an essay on Lagrange points and am confused by the transformation into the ...
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