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A satellite of mass m=1kg has geostationary orbit. At a moment t its ion thrusters are...

A satellite of mass m=1kg has geostationary orbit. At a moment t its ion thrusters are fired with a constant force F = 1mN. Find the spacecraft trajectory. Assume in plane motion the sun and earth are not moving. Also assume that at any given moment of time F is parallel to velocity. Take into account gravitational pull by Earth and sun but neglect other celestial bodies.

Where will the satellite be in 1 day, 1 month, 1 year?
Estimate how long the thruster may operate

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