Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

vf321

  • 3 years 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 two-body problem.

  • This Question is Closed
  1. vf321
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We also know that we are limited to planar motion, so we can look at four DEs: One for x1, y1, x2, y2.

  2. vf321
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    With\[\vec r_1=<x_1, y_1>\]and etc. for r2.

  3. vf321
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ah forget it im going to math se.

  4. vf321
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    If any1's interested: http://math.stackexchange.com/questions/185593/solving-the-de-for-a-two-body-system

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy