China says the landing marks a new chapter in lunar exploration.
The Von Kármán crater landing spot in the Aitken Basin is the oldest, deepest, crater on the moon's surface and the largest in the Solar System.
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The rover's tracks can be clearly seen in the remarkable image.
The next phase "landing" will be carried out by the Chang'e-5 probe and it plans to collect 2 kilograms of moon soil and bringing it back to the earth.
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This ring panorama from the moon shows the lander and the rover towards the bottom. In a press release, CNSA said their Chang'e 4 mission was a success, and thanked "significant global cooperation", for their major space milestone.
Instead, signals are sent from the lunar surface up to a relay satellite called Queqiao, which launched in May 2018 and is hovering in an orbital "parking spot" from which it can communicate with Earth.
Because the far side faces away from Earth, it is also shielded from radio transmissions - making it the flawless place from where to study the universe.
In 2013, China became just the third country, after the US and the then-Soviet Union, to successfully "soft land" on the Moon when its Chang'e 3 lander reached the lunar surface.
Always the same part of the moon is visible to us because at the speed that it revolves around the Earth, it rotates on its axis at the same speed.
Chang'e-4 was launched from Xichang Satellite Launch Centre in China on 7 December.
The video, lasting about 12 minutes, shows the probe adjusted its altitude, hovered and avoided obstacles during the descent process.
Expected on Friday are the release of images from one or both of the lander's Terrain Camera (TCAM) and the rover's Panoramic Camera (PCAM).