A Mars observing satellite is orbiting on a circular orbit at an altitude of 1000 km above Mars’s equator. Find satellite’s acceleration and velocity as seen from a deep space communications station located on Earth’s equator, when they are on a direct line of sight (see the Fig. below). Assume for simplicity that planetary orbits and their equatorial planes are all in the plane of ecliptic (that is all, motion is in a 2D plane). Earth radius is 6300 km, Mars radius 3400 km, Mars mass 6.4x1023 kg. Assume that all circular motions are counter clockwise (i.e., orbital motions of Earth and Mars, Earth spin, and satellite orbital motion).

A Mars observing satellite is orbiting on a circular orbit at an altitude of 1000 km above Mars’s equator. Find satellite’s acceleration and velocity as seen from a deep space communications station located on Earth’s equator, when they are on a direct line of sight (see the Fig. below). Assume for simplicity that planetary orbits and their equatorial planes are all in the plane of ecliptic (that is all, motion is in a 2D plane). Earth radius is 6300 km, Mars radius 3400 km, Mars mass 6.4x1023 kg. Assume that all circular motions are counter clockwise (i.e., orbital motions of Earth and Mars, Earth spin, and satellite orbital motion).