Loading [MathJax]/extensions/mml2jax.js
Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Physics LibreTexts

Search

  • Filter Results
  • Location
  • Classification
    • Article type
    • Author
    • Embed Hypothes.is?
    • Embebbed CalcPlot3D?
    • Cover Page
    • License
    • Show TOC
    • Transcluded
    • OER program or Publisher
    • Student Analytics
    • Autonumber Section Headings
    • License Version
    • Print CSS
      • Screen CSS
      • PrintOptions
    • Include attachments
    Searching in
    About 1 results
    • https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/57%3A__Celestial_Mechanics/57.10%3A_The_Vis_Viva_Equation
      When an object of small mass \(m\) orbits a body of much larger mass \(M\), we can use conservation of energy considerations to find the smaller body's velocity \(v\) at radial distance \(r\). where t...When an object of small mass \(m\) orbits a body of much larger mass \(M\), we can use conservation of energy considerations to find the smaller body's velocity \(v\) at radial distance \(r\). where the quantity \(a\) is the radius for a circular orbit, the semi-major axis for an elliptical orbit, the negative of the semi-major axis for a hyperbolic orbit, or infinity for a parabolic orbit. -\frac{G M m}{2 a} & =\frac{1}{2} m v^{2}-\frac{G M m}{r} .

    Support Center

    How can we help?