Hyperbolic interplanetary transfer

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The discussion revolves around calculating the hyperbolic excess speed for a spacecraft departing Earth toward Jupiter. The initial formula proposed for hyperbolic velocity was incorrect, as it mistakenly subtracted velocities instead of using the correct impulse method. The correct approach is to define hyperbolic velocity as the change in velocity (Δv) from the Hohmann heliocentric transfer. There is also a suggestion to explore the complexities of patched conic transfer orbits, particularly how to transition between hyperbolic and elliptical paths relative to different gravitational influences. The thread concludes with an acknowledgment of the initial misunderstanding regarding the hyperbolic velocity calculation.
dilasluis
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Could someone tell me if I'm right or wong...

I want to calculate de hyperbolic excess speed for a spacecraft that leaves Earth parking orbit on a hyperbolic orbit in direction to Jupiter to arrive there in optimum conditions.

It's not an Hohmann heliocentric transfer!

so, i though that:

v_{\infty} = v_{park} - v_{earth/jupiter}

Is it right, or is it worng?
 
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I'm totally dumb!

Sorry, this tread can now be safely closed (and it only passed less than 10 min)...

The hyperbolic velocity that I previosly wrote is totally wrong!

In fact, v_{\infty} = \Delta v where \Delta v is the first impulse from the hohmann heliocentric transfer...
 
dilasluis said:
Sorry, this tread can now be safely closed (and it only passed less than 10 min)...

The hyperbolic velocity that I previosly wrote is totally wrong!

In fact, v_{\infty} = \Delta v where \Delta v is the first impulse from the hohmann heliocentric transfer...
You could work up a dissertation on the patched conic transfer orbit, starting with a hyperbola relative to Earth and changing over--abruptly or interpolatively?...how does one treat the region where the sun's influence and Earth's are commensurate? -- to an ellipse or hyperbola relative to the sun.

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