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Science Advisor

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Regards,

Reilly Atkinson

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Consider a completely classical situation

Even if the force is spherically symmetric, the initial conditions of the motion don't have to be!

If the force is a central force, the angular momentum will be conserved. But the motion is not necessarily spherically symmetric since you can choose whatever initial conditions you want!

Consider tossing a comet at some arbitary direction in the solar system (and assume it doe snot have enough energy to escape the potential). It will move following an ellipse which is obviosuly not spherically symmetric.

Again the key point is that you must consider both the symmetry of the force and the symmetry of the initial conditions.

- #4

Homework Helper

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- #5

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Consider a completely classical situation

Even if the force is spherically symmetric, the initial conditions of the motion don't have to be!

If the force is a central force, the angular momentum will be conserved. But the motion is not necessarily spherically symmetric since you can choose whatever initial conditions you want!

Consider tossing a comet at some arbitary direction in the solar system (and assume it doe snot have enough energy to escape the potential). It will move following an ellipse which is obviosuly not spherically symmetric.

Again the key point is that you must consider both the symmetry of the force and the symmetry of the initial conditions.

Great! The solutions of an aquation may have less symmetry than the equation.

- #6

Science Advisor

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Great! The solutions of an aquation may have less symmetry than the equation.

Welcome to PF, Jiadong. Just a heads-up, though - you might want to check the date (upper-left corner of the post) before responding; you've answered a few that are a bit old.

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