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The selection of an appropriate orbit transfer method is one of the major tasks in planning a spacecraft mission. This paper provides an analysis of three major chemical propulsion orbit transfer mechanisms that can be applied to the transfer of a spacecraft from Lower Earth Orbit to Jupiter's orbit; and consequentially the time is taken for the transfer, including the energy and fuel requirements. Lagrange points which form a gravitationally determined path to the orbit of Jupiter are calculated. The juxtaposition of all the energy and the requirements for each of the orbit transfer method and Interplanetary Transfer Network are presented. The Hyperbolic Excess and Capture velocities required to escape the Gravitational force of Earth and get drawn into an orbit about a particular altitude above Jupiter respectively are calculated. Finally, the velocity boost from the gravitational force of Mars, due to a flyby is also computed and the effect of orientation angle on the velocity gain is shown.