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I want to see the satellite image of the same area at different times. But by entering the following code, also shows the same picture with changing times.

image = GeoImage[GeoPosition[{37.668317, -106.203445}], 
  GeoZoomLevel -> 10.75, 
  ImageResolution -> 200, {"Date" -> DateObject[{2010, 7, 5}]}]

enter image description here

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    $\begingroup$ There is no "Date" option for GeoImage. Therefore, you can not get an image for an arbitrary date. $\endgroup$ Commented Aug 16, 2023 at 9:49

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Mathematica has a rich set of image file formats that can be ingested, manipulated and displayed. It is a bit more work, but I would suggest acquiring the time-series imagery from the US Geological Survey. You can use their website (https://www.usgs.gov/landsat-missions/landsat-data-access) or API to get the data you seek manually and then processing it. There is a short thread on the API interface at the end of this article:

How to get satellite image directly from Mathematica?

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