
umkreisen
to orbit
To move along a circular or elliptical path around a central point or body.
Der Mond umkreist die Erde in etwa 27 Tagen.
The Moon orbits the Earth in about 27 days.
to orbit / circle
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to orbit
To move along a circular or elliptical path around a central point or body.
Der Mond umkreist die Erde in etwa 27 Tagen.
The Moon orbits the Earth in about 27 days.

to circle
To move repeatedly around a person or thing, often with a specific intention such as observing, approaching, or threatening.
Die Kinder umkreisten den Eiswagen in freudiger Erwartung.
The children circled the ice cream truck in joyful anticipation.

to circle around
To keep coming back to the same topic mentally or in conversation.
Seine Gedanken umkreisten ständig die Frage, ob er die richtige Entscheidung getroffen hatte.
His thoughts constantly circled around the question of whether he had made the right decision.
'Umkreisen' consists of the prefix 'um-' (around) and the verb 'kreisen' (to circle). The prefix is inseparable, which means it always stays at the beginning of the verb, even in a main clause.
Ein Satellit umkreist die Erde in 90 Minuten.
A satellite orbits the Earth in 90 minutes.
Because 'umkreisen' is an inseparable verb, the past participle is formed without the prefix 'ge-'. The correct form is 'hat umkreist' (has orbited/circled), not 'hat umgekreist'.
Die Raumsonde hat den Planeten Jupiter erfolgreich umkreist.
The space probe successfully orbited the planet Jupiter.
The verb 'umkreisen' always requires a direct object in the accusative. You ask: Whom or what does someone or something circle/orbit?
Die Wölfe umkreisten ihre Beute langsam.
The wolves slowly circled their prey.
Besides literal movement, 'umkreisen' can also be used figuratively for thoughts or topics. When thoughts 'ein Problem umkreisen' (circle around a problem), you are constantly occupied with it.
Seine Gedanken umkreisten immer wieder dieselbe ungelöste Frage.
His thoughts kept circling around the same unresolved question.
to surround
Both words can express that something is located all around a central point. “Umgeben” mainly describes the position or enclosure, while “umkreisen” emphasizes movement along a circular path or repeated movement around something. Use “umgeben” for a fixed arrangement and “umkreisen” for movement.

Mehrere Vögel umkreisen den kleinen See.
Several birds circle the small lake.
Hohe Bäume umgeben den kleinen See.
Tall trees surround the small lake.