How far is mars from earth when it is undergoing retrograde


Assume that the orbits of the planets in our solar system are circular with the following orbital radii (semi-major axis): Venus - 0.7 AU, Earth - 1 AU, Mars - 1.5 AU, Jupiter - 5.2 AU. Answer the following questions:

a. How far is Mars from Earth when it is undergoing retrograde motion?

b. What is the "phase" of Mars when it is undergoing retrograde motion?

c. Can Venus go through all eight phases? If not, name an impossible phase.

d. Can Saturn go through all eight phases? If not, name an impossible phase.

e. What is the angular diameter of Saturn when it closest to the Earth?

f. What is the angular diameter of Saturn when it is furthest from Earth?

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