Saturday, May 11, 2024

Inertial Guidance Systems and Velocity Measurement

Image generated by AI using Bing Image Creator

The Solar System and the Earth within it is moving around the Milky Way galaxy at a velocity of 826,000 km/h. The human body can't sense constant speed, only acceleration when we're speeding up or slowing down, so we're not aware of the motion. (In physics we tend to call it velocity rather than speed. Velocity is a vector quantity having both magnitude and direction. The magnitude of the vector is the speed). Instrumentation can't directly detect velocity, except from relative motion to something else. So for instance in a car, speed was traditionally detected mechanically by having a flexible steel cable connected between the mechanical speedometer and transmission, but more likely electronically nowadays using a Hall Effect sensor or similar to count rotations of a component in the transmission such as the front axle. (Like the sensor and magnet on your bicycle wheel to measure speed). Aircraft airspeed can be measured using tubes called pitot tubes connected to the fuselage, which measure drop in air pressure as air flows over the openings. (The same pressure drop principle used in carburetors of petrol engines and paint sprayers). The variation in air pressure then gets processed and ultimately results in a display of airspeed on a gauge on the instrument panel.

What Happens if There's Nothing to Reference Against?

Navigation is possible using the Sun, stars, a compass and a good timepiece. However another way without resorting to astronomical observations or knowing longitude is to use dead reckoning. So if you know the direction you're travelling from a compass and measure the length of time for which you were travelling and the average speed you were travelling at, you can simply multiply speed by time to find the distance and angle from the start point. This can be done repeatedly at intervals, using compass readings and speed to calculate position and plot a trajectory of a vehicle or other object. If speed isn't constant, an integration process can be used to add up all the instantaneous speed x time values. For a spacecraft or missile that doesn't have wheels or air around it to measure velocity from, accelerometers have to be used. These measure acceleration, and from acceleration, velocity and also distance travelled can be calculated. (Mathematically, velocity is the integral of acceleration and distance travelled is the integral of velocity). Direction of travel is also measured in three dimensions by determining the relative angle of a craft (attitude) with respect to references provided by three gyroscopes. The complete system with gyroscopes, accelerometers and associated components and electronics is known as an inertial guidance system.