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6.10 Assuming the orbits of earth and Mars are circular and coplanar, calculate
(a) The time required for a Hohmann transfer from earth orbit to Mars orbit.
(b) The initial position of Mars (a) in its orbit relative to earth for interception to occur.
Radius of earth orbit
1.496(10*) km.
%D
Radius of Mars orbit = 2.279(10*) km.
HSun = 1.327(10)km³/s?.
{Ans.: (a) 259 days; (b) a = 44.3°}
PROBLEMS
337
Hohmann transfer
orbit
Mars at launch
Mars at
encounter
Sun
Earth at launch

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A spacecraft is in a 300 km circular parking orbit. It is desired to increase the altitude to 600 km and change the inclination by 20°. Find the total ΔV required if:

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The plane change is made after insertion into the 600 km orbit (so there is a total of three ΔV burns).

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Follow-up Question

can you calculate the launch C3 required to launch into transfer orbit and the spacecraft ΔV magnitude required to enter Martian orbit [km/s]?

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