What Terms Determine Kinetic Energy Change for Jupiter Orbit?

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To determine the change in kinetic energy for the marduk spacecraft transitioning from low Earth orbit to a Jovo-synchronous orbit around Jupiter, key terms include the initial and final kinetic energy, the spacecraft's mass, Jupiter's gravitational acceleration, and both initial and final velocities. The initial kinetic energy is calculated based on the spacecraft's velocity in low Earth orbit, while the final kinetic energy will be based on its velocity in the Jovo-synchronous orbit. The equation for kinetic energy change can be expressed as the difference between the final and initial kinetic energies. Additionally, the distance from Earth's surface and the velocity needed to escape Earth's gravity are crucial for calculating the energy required for the transition. Understanding these terms and their relationships is essential for solving the problem.
alex9898
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Ok, so this is a homework question so i assume i put it in this forum (i'm new to this). I have been going over this for the longest time and have no clue on how to solve it please help.

The marduk spacecraft will be lifted to low orbit using a traditional chemical rocket Rei=5x10^5 m above the surface of the earth. It will use a chemical booster supply ½ the velocity needed to escape the earth’s gravitational field. After that the ion drive will supply all the remaining energy needed to achieve a Jovo-synchronous (I think he means geosynchronous but he put Jovo) orbit about Jupiter.

1) Identify all the terms that will appear in an equation to determine the change in kinetic energy needed to achieve the new Jovo-synchronous orbit about Jupiter from the low orbit of Earth.
 
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2) Write the equation.For 1, I think the terms that will appear in the equation would be:1. The initial kinetic energy of the spacecraft 2. The final kinetic energy of the spacecraft 3. The mass of the spacecraft 4. The acceleration due to gravity of Jupiter5. The initial velocity of the spacecraft 6. The final velocity of the spacecraft 7. The distance from the surface of the earthFor 2, I'm not sure how to write the equation.
 
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