“Titan has so much interesting activity—like flowing liquids and moving sand dunes—but to understand these processes it’s useful to know how the terrain slopes,” says Ralph Lorenz, of The Johns Hopkins University Applied Physics Laboratory in Laurel, Maryland, who led the map-design team. “It’s especially helpful to those studying hydrology and modeling Titan’s climate and weather, who need to know whether there is high ground or low ground driving their models.”
Titan’s thick haze scatters light in ways that make it very hard for remote cameras to “see” landscape shapes and shadows, the usual approach to measuring topography on planetary bodies. Virtually all the data we have on Titan come from NASA‘s Saturn-orbiting Cassini spacecraft, which has flown past the moon nearly 100 times over the past decade. On many of those flybys, Cassini has used a radar imager, which can peer through the haze, and the radar data can be used to estimate the surface height.
“With this new topographic map, one of the most fascinating and dynamic worlds in our solar system now pops out in 3-D,” says Steve Wall, the deputy lead of Cassini’s radar team, based at NASA‘s Jet Propulsion Laboratory in Pasadena, California. “On Earth, rivers, volcanoes, and even weather are closely related to heights of surfaces—we’re now eager to see what we can learn from them on Titan.” There are challenges, however. “Cassini isn’t orbiting Titan,” Lorenz says. “We have only imaged about half of Titan’s surface, and multiple ‘looks’ or special observations are needed to estimate the surface heights. If you divided Titan into 1-degree by 1-degree [latitude and longitude] squares, only 11 percent of those squares have topography data in them.”
Lorenz‘s team used a mathematical process called splining—effectively using smooth curved surfaces to “join” the areas between grids of existing data. “You can take a spot where there is no data, look how close it is to the nearest data, and use various approaches of averaging and estimating to calculate your best guess,” he says. “If you pick a point, and all the nearby points are high altitude, you’d need a special reason for thinking that point would be lower. We’re mathematically papering over the gaps in our coverage.”
The estimations fit with current knowledge of the moon—that its polar regions are “lower” than areas around the equator, for example—but connecting those points allows scientists to add new layers to their studies of Titan’s surface, especially those modeling how and where Titan’s rivers flow, and the seasonal distribution of its methane rainfall. “The movement of sands and the flow of liquids are influenced by slopes, and mountains can trigger cloud formation and therefore rainfall. This global product now gives modelers a convenient description of this key factor in Titan’s dynamic climate system,” Lorenz says.
The most recent data used to compile the map are from 2012; Lorenz says it could be worth revising when the Cassini mission ends in 2017, when more data will have accumulated, filling some of the gaps in present coverage. “We felt we couldn’t wait and should release an interim product,” he says. “The community has been hoping to get this for a while. I think it will stimulate a lot of interesting work.”
