0
$\begingroup$

I am creating a theoretical model of the Earth's tangential acceleration around the Sun (on an elliptical orbit, not circular). First, I will build a theoretical model, which is not influenced by any other planet or mass in the solar system, and then compare it to the actual data available.

For this I would require data on the actual linear velocity of Earth around the Sun (using my method), does anyone know how I can obtain this data?

$\endgroup$
1
  • $\begingroup$ Between ~29 and ~30 km/s is it's speed... $\endgroup$ Oct 4 at 21:34
6
$\begingroup$

You can obtain this data (and other solar system data) to high accuracy using the HORIZONS software by NASA.

Use the following settings:

  • Ephemeris Type: VECTORS
  • Target Body: Earth [Geocenter] [399]
  • Coordinate Origin: Sun (body center) [500@10]

This will generate the position and velocity of Earth relative to the Sun at the specified time(s). More settings can be adjusted using Table Settings.

$\endgroup$
1
  • 1
    $\begingroup$ @noob anomaly, also note that you might want the velocity of Earth relative to the Sun-Earth system, which is slightly different from it relative to the Sun (the Sun has a slight wobble because of the Earth's orbit). $\endgroup$
    – Digiproc
    Aug 29 at 9:56
3
$\begingroup$

You can use the vis-viva equation, the derivation is available on wikipedia, you can easily get it there. It uses the conservation of angular momentum. I'm stating the equation here.

$ v^2 = GM(\frac{2}{r}-\frac{1}{a})$

Here, $a$ is the semi major axis, and $r$ is your distance.

Hope this helps.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.