Does the gravity sling require rocket guidance to be non-negligible?

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Discussion Overview

The discussion revolves around the mechanics of gravity slingshots and whether rocket propulsion is necessary for effective maneuvering during such maneuvers. Participants explore the implications of using alternative methods, like cannon fire, to achieve similar effects without traditional rocket guidance.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question if a gravity sling can be achieved without rocket propulsion, suggesting that accurate aiming of a cannon could potentially replace rockets in achieving the necessary trajectory.
  • There is a suggestion that the effectiveness of a slingshot maneuver depends on the trajectory of the rocket as it approaches the celestial body, implying that precise aiming is crucial.
  • One participant raises the question of whether spacecraft that utilized slingshot maneuvers adjusted their trajectory using rocket propulsion to achieve the correct angle of approach.
  • Another participant notes that the three-body problem is relevant to slingshot maneuvers, highlighting the complexity and sensitivity of outcomes based on initial conditions.
  • A question is posed regarding the definition of a stable solution in the context of N-body problems, indicating a deeper inquiry into the mathematical underpinnings of such maneuvers.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of rocket propulsion for effective gravity slingshots, with some arguing for its importance while others suggest alternatives. The discussion remains unresolved regarding the role of propulsion and the implications of the three-body problem.

Contextual Notes

The discussion touches on the complexities of trajectory calculations and the sensitivity of outcomes to initial conditions, which are not fully resolved. The definitions and criteria for stable solutions in N-body problems are also not clarified.

Jonathan212
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Is the gravity sling possible without rocket propulsion which dynamically guides the object to the right point? Ie, if instead of using a rocket, you shoot the object with an accurately aimed cannon from the moon, will it either hit the planet or miss it but never get slung/accelerated substantially?
 
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Jonathan212 said:
Is the gravity sling possible without rocket propulsion which dynamically guides the object to the right point? Ie, if instead of using a rocket, you shoot the object with an accurately aimed cannon from the moon, will it either hit the planet or miss it but never get slung/accelerated substantially?
Slingshot depends only on the rocket having the right trajectory as it approaches the large object. If you can aim a cannon to put it there then it will get the gravity assist.
 
Did the spaceships that used the slingshot make a turn with the rocket propulsion to get the right angle of approach?
 
Jonathan212 said:
Did the spaceships that used the slingshot make a turn with the rocket propulsion to get the right angle of approach?
Depends on whether or not they were already on the right trajectory.
 
Taking the question in a broader context, a spacecraft using a slingshot maneuver is an example of a three-body problem. You have the craft, the object being sling-shotted around and, presumably, a primary (e.g. the sun) about which the object is orbiting.

Except for a few special cases, the three body problem has no stable solutions. It yields a result which can depend critically on small variations on the initial position, speed and direction of the craft. A tiny margin of error can, over a sufficiently long period, make the difference between an eventual collision, a temporary capture or an eventual ejection on an escape trajectory.
 
How do we define a stable solution of an N-body problem?
 

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