Sidereal frame and conservative force.

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SUMMARY

A sidereal frame of reference is defined as one that is fixed relative to the stars, making it more inertial than a laboratory frame due to its consideration of the Earth's rotation. Newton's laws of motion apply within this context, emphasizing the need to reference them in relation to an inertial frame. The discussion also highlights the properties of conservative fields of force, which include having zero curl, and the derivation of the energy equation for a particle of constant mass m under such forces.

PREREQUISITES
  • Understanding of sidereal frames in physics
  • Familiarity with Newton's laws of motion
  • Knowledge of conservative forces and their properties
  • Basic grasp of vector calculus, specifically curl
NEXT STEPS
  • Research the concept of inertial frames in classical mechanics
  • Study the properties of conservative forces in detail
  • Learn how to derive the energy equation for a particle under conservative forces
  • Explore the implications of using sidereal frames in astrophysics
USEFUL FOR

Students of physics, particularly those studying mechanics and celestial reference frames, as well as educators preparing exam materials on Newtonian physics and conservative forces.

Gwilim
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Briefly describe a sidereal frame of reference, and then state Newton's laws of motion

I can't find sidereal in the index of my textbook, but my googling leads me to conclude that it's something to do with fixed stars. I'm not sure if a sidereal frame is also an inertial frame. Newtons laws are easy enough, but I get the feeling I'm not being asked for the classical formulations, but rather to append 'with reference to an inertial frame' or the like to the end.

State the properties satisfied by a conservative field of force, and then derive the energy equation for a particle of constant mass m moving under the influence of such a force

Umm, help?
 
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Gwilim said:
I can't find sidereal in the index of my textbook, but my googling leads me to conclude that it's something to do with fixed stars. I'm not sure if a sidereal frame is also an inertial frame.

Hi Gwilim! :smile:

"sidereal" simply means fixed relative to the stars …

it's more inertial than a laboratory frame!

(because it doesn't pretend that the Earth isn't spinning. :biggrin:)
State the properties satisfied by a conservative field of force, and then derive the energy equation for a particle of constant mass m moving under the influence of such a force

Go on, start … what are the properties satisfied by a conservative field of force? :wink:
 
tiny-tim said:
Hi Gwilim! :smile:

"sidereal" simply means fixed relative to the stars …

it's more inertial than a laboratory frame!

(because it doesn't pretend that the Earth isn't spinning. :biggrin:)

So what would be acceptable wording in an exam?

"A sidereal frame of reference is one which uses fixed stars as a frame of reference"?

Seems a bit, uhh, self referential?

Go on, start … what are the properties satisfied by a conservative field of force? :wink:

I don't know :( I hear it's something about 0 curl but I don't think I'm expected to know what curl is so that can't be the answer they're looking for. Can't you just tell me?:rolleyes:
 

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