Query on an object moving in a 2D plane

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  • Thread starter Thread starter Athgar
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    2d Plane
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Discussion Overview

The discussion centers on calculating the future position of an object moving in a 2D plane, given its initial conditions and the presence of other objects with known mass and location. It explores the theoretical and practical aspects of motion under gravitational influences.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about determining the future location of an object in a 2D plane based on its speed and direction.
  • Another participant asks about the forces acting on the object, suggesting gravitational attraction from other bodies as a factor.
  • A different participant notes that for complex configurations of masses, numerical methods may be necessary to solve for acceleration and position over time.
  • One participant expresses uncertainty about what constitutes a "simple configuration of masses."
  • A clarification is provided that a simple configuration allows for analytical solutions without numerical methods.
  • Another participant suggests that typically, a simple configuration may not be the case and seeks guidance on solving for acceleration and position as a function of time.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of the configurations or the methods required to solve the problem, indicating multiple competing views and unresolved questions regarding the approach to the calculations.

Contextual Notes

Limitations include the lack of specific details on the configurations of the masses and the assumptions required for analytical versus numerical solutions.

Athgar
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An object is at a known point in a 2D plane, traveling at a known speed in a known direction

In the plane are other objects with known mass and location

With this information, how do you work out where the object will be located one second later?
 
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What forces act on the object?
 
Gravitational attraction from the other bodies in the plane
 
Unless it's a simple configuration of masses, you'll probably have to use numerical methods to solve for the acceleration and position as a function of time.
 
I'll have to show my ignorance, what is meant by a simple configuration of masses?
 
By that I just meant a configuration simple enough to solve analytically, without the need for numerical methods.
 
That would typically not be the case

How would I go about solving for the acceleration and position as a function of time?
 

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