USAAAO — 2019 First Round

Suppose a spacecraft were orbiting in a low Earth orbit at an altitude of 400 km. The spacecraft makes a single orbital maneuver to place it into a Mars transfer orbit. Delta-v (Δv) refers to the change in velocity during an orbital maneuver. What is the Δv required for this trans-Mars injection? The semimajor axes of the orbits of Earth and Mars are 1.496 × 10⁸ km and 2.279 × 10⁸ km, respectively.