Calculating Orbital Velocity and Probe Velocity in a Hohmann Transfer to Neptune

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A Hohmann transfer orbit is proposed for sending a spacecraft to Neptune, but the influence of other planets is not accounted for. The spacecraft approaches Jupiter at a 75-degree angle to its orbit, prompting calculations for both Jupiter's orbital velocity and the probe's velocity upon arrival. The discussion emphasizes the need to determine the parameters of the elliptical Hohmann orbit based on the initial and final orbital radii. Participants express uncertainty about which quantities are considered given and what can be researched. Accurate calculations are essential for successful mission planning.
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A Hohmann transfer orbit is used to send a spacecraft to neptune. However the positions of the other planets were not taken into consideration. The craft approaches Jupiter at an angle of 75 degrees to Jupiter's orbit. Calculate (a) the orbital velocity of Jupiter, (b) the probe's velocity upon reaching Jupiter.

Not really sure how to start this question. Does anyone else have any ideas?
 
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Hi garyman,

garyman said:
A Hohmann transfer orbit is used to send a spacecraft to neptune. However the positions of the other planets were not taken into consideration. The craft approaches Jupiter at an angle of 75 degrees to Jupiter's orbit. Calculate (a) the orbital velocity of Jupiter, (b) the probe's velocity upon reaching Jupiter.

Not really sure how to start this question. Does anyone else have any ideas?

I would say the starting point is to calculate the parameters of the elliptical Hohmann orbit using the beginning and ending orbital radii, and using the equations for the velocity impulses needed. However, it's not clear to me what quantities are to be considered as "given". What quantities are you allowed to look up?
 

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