Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Schuler tuning
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==Principle== As first explained by German engineer [[Maximilian Schuler]] in a 1923 paper,<ref>{{cite journal |last = Schuler |first = M. |title = Die Störung von Pendel und Kreiselapparaten durch die Beschleunigung des Fahrzeuges |journal = Physikalische Zeitschrift |volume = 24 |issue = 16 |year = 1923 |url = https://apps.dtic.mil/dtic/tr/fulltext/u2/b806120.pdf |accessdate = 2008-12-02 |url-status = live |archiveurl = https://web.archive.org/web/20170901013138/http://www.dtic.mil/cgi-bin/GetTRDoc?Location=U2&doc=GetTRDoc.pdf&AD=ADB806120 |archivedate = 2017-09-01 }}</ref> a pendulum that has a period that equals the [[orbit]]al period of a hypothetical [[satellite]] orbiting at the surface of [[Earth]] (about 84.4 minutes) will tend to remain pointing at the center of Earth when its support is suddenly displaced. Such a pendulum (sometimes called a ''Schuler pendulum'') would have a length equal to the radius of Earth. Consider a simple gravity [[pendulum]], whose length to its center of gravity equals the [[radius]] of Earth, suspended in a uniform gravitational field of the same strength as that experienced at Earth's surface. If suspended from the surface of Earth, the center of gravity of the pendulum bob would be at the center of Earth.<ref name="Cannon">[http://accessscience.com/content/Schuler-pendulum/606900 Schuler Pendulum] by Robert H. Cannon, Accessscience.com</ref> If it is hanging motionless and its support is moved sideways, the bob tends to remain motionless, so the pendulum always points at the center of Earth. If such a pendulum were attached to the inertial platform of an inertial navigation system, the platform would remain level, facing "north", "east" and "down", as it was moved about on the surface of the Earth. The '''Schuler period''' can be derived from the classic formula for the period of a [[pendulum]]: :<math>T = 2\pi \sqrt\frac{L}{g} \approx 2\pi \sqrt\frac{6371000}{9.81} \approx 5063 \ \text{seconds} \approx 84.4 \ \text{minutes}</math> where '''''L''''' is the [[Earth radius#mean radius|mean radius of Earth]] in meters and '''''g''''' is the local [[Gravity of Earth|acceleration of gravity]] in [[metres per second per second]].
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)