Speed of Voyager 2 after slingshot encounter?

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Homework Help Overview

The discussion revolves around the speed of Voyager 2 after its slingshot maneuver around Saturn. The problem involves concepts from orbital mechanics and gravitational interactions, specifically focusing on the velocities of Voyager 2 and Saturn and the implications of the slingshot effect.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the factors affecting Voyager 2's speed post-encounter, questioning the relevance of the distance between Earth and Saturn and the gravitational influences involved. There is discussion about what specific information is necessary to determine the speed after the slingshot, including the point of closest approach and the trajectory of Voyager 2.

Discussion Status

The conversation is ongoing, with participants providing insights into the complexities of the problem. Some guidance has been offered regarding the importance of the incoming trajectory and the gravitational influence of Saturn over that of Earth. There is no explicit consensus yet on the exact parameters needed for a solution.

Contextual Notes

Participants note that additional information is required to solve the problem, including the gravitational effects of the planets and the specifics of Voyager 2's trajectory. The relevance of the Earth-Saturn distance is questioned, indicating a focus on local gravitational effects.

atomant
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Voyager 2 used a slingshot maneuver to approach Saturn and then move off in the opposite direction.Voyager 2 approached Saturn with a velocity of 12 Kms^-1. (relative to the sun). The orbital speed of Saturn is 13 Kms&-1. The question is what was Voyager 2's speed after the slingshot encounter? (and relative to what?).
So can Voayger 2's speed after the slingshot encounter be calculated using the distance between the Earth and saturn?
 
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atomant said:
Voyager 2 used a slingshot maneuver to approach Saturn and then move off in the opposite direction.Voyager 2 approached Saturn with a velocity of 12 Kms^-1. (relative to the sun). The orbital speed of Saturn is 13 Kms&-1. The question is what was Voyager 2's speed after the slingshot encounter? (and relative to what?).
So can Voayger 2's speed after the slingshot encounter be calculated using the distance between the Earth and saturn?

You need more information to solve the problem. Also, I don't see how the distance between Earth and Saturn would matter.

-Dan
 
So what exactly am i missing?. G of the 2 planets?
 
atomant said:
So what exactly am i missing?. G of the 2 planets?

Depending on the level of the problem you could be missing a number of things. The point of closest approach to Saturn, the trajectory of the Voyager in general, the change in Saturn's orbital momentum, etc. Basically the Voyager can come out with just about any momentum (within certain limits) depending on how close it gets to Saturn.

The reason I said that the Earth-Saturn distance doesn't matter is that the Earth is sufficiently far away as to essentially not act on the Voyager gravitationally. The incoming trajectory of the Voyager is the most important piece of information. At these ranges only Saturn's gravity field is important.

-Dan
 
I get it. Thanks for the help.
 

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