USAAAO — 2023 First Round

Consider a satellite that has a circular orbit with a radius of 6.0 × 10^8 m around Venus. Due to a failure in its ignition system, the satellite's orbital velocity was suddenly decreased to zero during a maneuver. How long does the satellite take to hit the surface of the planet? Consider that the mass of Venus is 4.67 × 10^24 kg and neglect any gravitational effects on the satellite other than that from Venus.