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The Hohmann ellipse used as earth-Mars transfer orbit has

  • A.apogee at earth and perigee at Mars.
  • B.both apogee and perigee at earth.
  • C.apogee at Mars and perigee at earth.
  • D.both apogee and perigee at Mars.

Answer: C

The transfer orbit has apogee at Mars and perigee at earth.

A Hohmann transfer is the ellipse tangent to both circular orbits. For an outward transfer from earth to Mars, the spacecraft leaves at the point of the ellipse closest to the Sun, which lies on earth's orbit, and arrives at the farthest point, which lies on Mars's orbit. (Strictly these are perihelion and aphelion for a Sun-centred orbit; the paper uses perigee and apogee.)

Reversing them describes a Mars-to-earth transfer, and an ellipse with both apsides at the same planet would never reach the other one.

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