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Is the following DE solvable?
For constants m1, m2, and G, find the position vectors r1 and r2 as functions of time. We know:
\[m_1\frac{d^2\vec r_1}{dt^2}=G\frac{m_1 m_2 (\vec r_1\vec r_2)}{\vec r_1\vec r_2^3}\]\[m_1\frac{d^2\vec r_1}{dt^2}=m_2\frac{d^2\vec r_2}{dt^2}\]General solution with constants is preferred. If you're interested, this is the twobody problem.
 one year ago
 one year ago
Is the following DE solvable? For constants m1, m2, and G, find the position vectors r1 and r2 as functions of time. We know: \[m_1\frac{d^2\vec r_1}{dt^2}=G\frac{m_1 m_2 (\vec r_1\vec r_2)}{\vec r_1\vec r_2^3}\]\[m_1\frac{d^2\vec r_1}{dt^2}=m_2\frac{d^2\vec r_2}{dt^2}\]General solution with constants is preferred. If you're interested, this is the twobody problem.
 one year ago
 one year ago

This Question is Closed

vf321Best ResponseYou've already chosen the best response.0
We also know that we are limited to planar motion, so we can look at four DEs: One for x1, y1, x2, y2.
 one year ago

vf321Best ResponseYou've already chosen the best response.0
With\[\vec r_1=<x_1, y_1>\]and etc. for r2.
 one year ago

vf321Best ResponseYou've already chosen the best response.0
ah forget it im going to math se.
 one year ago

vf321Best ResponseYou've already chosen the best response.0
If any1's interested: http://math.stackexchange.com/questions/185593/solvingthedeforatwobodysystem
 one year ago
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