Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

vf321

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

    ah forget it im going to math se.

  4. vf321
    • 2 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

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.