How does a large starship maintain orbit while running in low power mode?

Imagine a starship with a tonnage of 600,000Â metric tons that must maintain an average speed of 10km/s to remain in Near Earth Orbit, that's probably going to consume much more energy than simply cruising in interstellar space.

Suppose the large vessel requires to upgrade its antimatter containment units and main artillery batteries and the parts used for the assembly are transported bit by bit between Earth and the starship in orbit, how to remain in lower power mode during the servicing period of 32 months?

No FTL and I'm thinking of using solar power however there will be frequent eclipses going inside Earth's shadow.

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How does a large starship maintain orbit while running in low power mode?

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