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The Sun's gravitation also contributes to the gentle equilibrium between the Earth and the Moon. My guess is that as the Earth begins to move in a tangential vector to its original orbit, the Moon would slightly lag behind (increasing the major axis of the Ellipse). If the Moon lags too much, the gravitation force of the Earth may not be enough to keep the Moon in perpetual orbit (thus throwing the moon out into space into its own linear trajectory until it finds another body with a strong enough gravity). Best case scenario, the original Elliptical orbit would be skewed.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
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\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
The moon should keep going around the Earth.
The Sun's gravitation also contributes to the gentle equilibrium between the Earth and the Moon. My guess is that as the Earth begins to move in a tangential vector to its original orbit, the Moon would slightly lag behind (increasing the major axis of the Ellipse). If the Moon lags too much, the gravitation force of the Earth may not be enough to keep the Moon in perpetual orbit (thus throwing the moon out into space into its own linear trajectory until it finds another body with a strong enough gravity). Best case scenario, the original Elliptical orbit would be skewed.