Calculating gravity - is your down plus or minus?

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Discussion Overview

The discussion revolves around the conventions used in physics for defining the direction of "down" in relation to gravity. Participants explore whether "down" should be considered positive or negative, with implications for calculations and coordinate systems.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant suggests that most physicists would consider the acceleration due to gravity as -9.8 m/s², as it points towards the center of the Earth, opposing the outward radial vector.
  • Another participant indicates that both positive and negative conventions for "down" are valid and that their usage depends on the specific problem being addressed.
  • A different viewpoint emphasizes that the definition of "down" can vary significantly based on the chosen coordinate system, with examples including local vertical/horizontal systems and geodetic frames.
  • One participant mentions a preference for using +Y as "up" in ray-tracing contexts to align with personal design preferences, indicating variability in conventions based on application.

Areas of Agreement / Disagreement

Participants express differing opinions on the convention for defining "down," with no consensus reached on a single preferred approach. The discussion reflects multiple competing views on the topic.

Contextual Notes

The discussion highlights the dependence on coordinate systems and the contextual nature of defining "down," which may lead to confusion or variability in application.

Femme_physics
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Calculating gravity -- is your "down" plus or minus?

I wonder what do most physicists get used to. I prefer to think of down as minus. What about you?
 
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I bet most physicists will say -9.8 because your radial basis vector points outwards from spheres and we know when dealing with gravity at the surface of Earth, it's pointing towards the center and thus, against our radial vector, so we would have to pick the negative guy for the correct way of doing things.
 


Either way works, and I have used both depending on the problem. But I do use negative down more often than positive down.
 


Sometimes. Sometimes positive, sometimes negative, other times, just a vector somewhere in three space. Depends on the coordinate system of interest.
  • Some (pseudo) inertial frame such as J2000: It's just a vector somewhere in three space. Over the north pole it is roughly -z, +z over the south pole, some combination of x and y over the equator. In short, "down" is all over the map.
  • Local vertical, local horizontal: +z is toward the center of the Earth, so roughly speaking, +z is down.
  • North east down: +z is toward the center of the Earth (geocentric NED) or is normal to the reference ellipsoid (geodetic NED). So again +z is more or less "down" (more rather than less with geodetic NED).
  • East north up: +z is "up", more or less.
  • North east up: A pox on people who work in left handed coordinate systems.
 


Working in ray-tracing, I prefer +Y to be up, so facades match my doodles. On the other hand, sometimes I'm http://www.dlugosz.com/POV/another_world.html" .

(I'll reboot the server tonight. Sorry the link isn't working at the moment but it's worth it to try again)
 
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