How Do You Calculate Slingshot Maneuver Dynamics for a Space Probe?

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Homework Help Overview

The discussion revolves around calculating dynamics related to a slingshot maneuver performed by a space probe around a planet. The problem involves specific energy, angular momentum, and the probe's closest approach and maximum speed, with given masses and initial conditions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the necessary equations, focusing on conservation of energy and angular momentum. There are attempts to find specific values and relationships, particularly regarding the maximum speed and the closest approach distance.

Discussion Status

Some participants have made progress on parts of the problem but express uncertainty about calculating the maximum speed without knowing the maximum distance. Guidance has been offered regarding the use of conservation principles, but multiple interpretations of the problem setup are being explored.

Contextual Notes

There is mention of constraints related to the lack of information on the maximum and minimum distances, which complicates the calculation of the semi-major axis and eccentricity.

noreally
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Really need help with this past exam question for revison:

Homework Statement



A probe performs slingshot maoeuvre around planet. Mass of planet is 9x10^22kg. Mass of probe is 4x10^2 kg and approaches planet from a great distance with relative speed 2x10^3 m/s and impact parameter 6x10^7. Using gravitational constant, G, determine:

1) Specific Energy, C and Specific Angular momentum L and alpha.
2) Closest approach distance of probe
3) Max speed of probe

I have the equations, but they involve the semi-major axis which can't be used as Rmax and Rmin arent given here so I'm a little lost on where to being with this, if anyone could help out I would be eternally greatfull! :D
 
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The only equations necessary here are those of conservation of energy and angular momentum.
 
I found parts 1 and 2 but am stuck on finding Vmax at my Rmin value without knowing the Rmax to be able to calculate the semi-major axis and eccentricity.
 
Once you know (2), you can use both conservation of energy and conservation of angular momentum to obtain the max speed.
 

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