The Science of Geodesy

Sep 30, 2021 | Daily Space, Earth, Science, Space Policy, Spacecraft

The Science of Geodesy
IMAGE: A USGS benchmark at Diamond Head in Hawaii. CREDIT: Nixterrimus via Wikimedia Commons

Since it was a pretty calm week for rocket launches, the team decided to do a deep dive into a space topic, and Erik was motivated to write about geodesy.

Geodesy is the study of the Earth’s shape, orientation in space, gravitational field, and how all of those change over time. Measurements are made with several terrestrial and space-based methods to come up with a reference frame of the Earth’s surface, from which different points on the surface can be assigned coordinates.

Traditional methods, which have their roots based on techniques developed thousands of years ago, relied on using landmarks such as the peaks of mountains, big rocks, and artificial landmarks like cairns made out of stones and brass markers. Using fairly simple tools and techniques, it’s possible to calculate distances between landmarks. If you were to combine those methods with celestial navigation techniques, you could figure out where something is.

Around the world, landmarks have been replaced by brass survey markers of various types. If you keep your eyes open, you might be able to spot one when you’re out and about.

Modern techniques build on these traditional techniques and use more precise and accurate tools to very precisely measure the location of something in three dimensions. These methods include Satellite Laser Ranging, Very Long Baseline Interferometry, and the Global Navigation Satellite System.

Satellite Laser Ranging is pretty much what it sounds like: a laser on the ground is fired at a satellite. The laser then bounces off fancy mirrors called retroreflectors on the satellite and returns to the source (the thing that fired a beam of photons into space to begin with). The time from sending to receiving the laser pulse from the spacecraft is plugged into a complicated equation that determines where the satellite is in space. 

Laser-ranging on a navigation satellite is especially important because that’s one of the independent ways to determine precisely what orbit it is in, which affects the accuracy of the navigation signal. Special geodetic satellites are also launched occasionally, these are basically disco balls: solid metal balls covered in retroreflectors, designed specifically for laser ranging.

IMAGE: Wettzell Laser Ranging System (WLRS), the satellite and lunar laser ranging system of the geodetic observatory in Wettzell, Bavaria. The 75cm telescope in the dome is both used to send the laser pulses and to observe the reflected signal. The small radar dish besides the dome is used to monitor air traffic: The laser is automatically switched off when a aircraft approaches the target position of the laser. CREDIT: H. Raab via Wikimedia Commons

Another technique, Very Long Baseline Interferometry, uses the time difference between observations of a radio signal across many radio telescopes on Earth from a quasar, an active black hole that shoots off jets bright in radio light. These antennas have a known position to a few millimeters, so it is very easy to mark the Earth’s precise orientation in space from observation of a few quasars by several radio telescopes. The International Celestial Reference Frame is generated from this orientation.

You are probably familiar with this next technique: Global Navigation Satellite System, shortened to GNSS. In the United States, we typically just call it GPS, for Global Positioning System. GNSS uses the slight difference in timing between signals on two different frequencies sent by a navigation satellite to determine the position of the receiver. This method is less accurate because the navigation signal itself relies on laser calibration of the satellite’s orbit.

An important application of these coordinates is, of course, navigation on or just above the Earth’s surface, but the geodetic coordinates are also used to monitor how the Earth itself is moving. For example, the fact that the Earth is composed of several plates which are constantly moving, plate tectonics was a hotly debated topic in Earth sciences for most of the twentieth century. Evidence for plate movements was provided by satellite geodetic measurements and other methods. Satellite geodesy is also used to measure the sea level, necessary for all sorts of oceanographic measurements like how melting ice is affecting the sea level globally and in certain regions and cycles like the El Niño.

Beyond Earth, laser ranging is also used to track the Moon’s orbit using retroreflectors placed on the surface by Apollo missions.

More Information

Space Geodesy Project: Science and Applications (NASA)

Space Geodesy Project: Laser Ranging – Satellite (SLR) and Lunar (LLR) (NASA)

Missions Supported by Laser Ranging (NASA)

Space Geodesy Project: What is VLBI? (NASA)

Space Geodesy Project: What is GNSS? (NASA)

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