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

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SUMMARY

The discussion focuses on calculating the orbital velocity of Jupiter and the probe's velocity upon reaching Jupiter during a Hohmann transfer to Neptune. Key calculations involve determining the parameters of the elliptical Hohmann orbit using the initial and final orbital radii, along with the necessary velocity impulses. The challenge arises from the lack of clarity regarding which quantities are considered "given" for the calculations, particularly in relation to the positions of other planets.

PREREQUISITES
  • Understanding of Hohmann transfer orbits
  • Familiarity with orbital mechanics and velocity calculations
  • Knowledge of elliptical orbits and their parameters
  • Ability to interpret and use gravitational parameters of celestial bodies
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  • Research the equations governing Hohmann transfer orbits
  • Learn how to calculate orbital velocities using Kepler's laws
  • Study the gravitational influences of multiple celestial bodies
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Aerospace engineers, astrophysicists, and students studying orbital mechanics will benefit from this discussion, particularly those involved in mission planning for interplanetary travel.

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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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