Translational motion of stars & planets

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SUMMARY

The translational motion of stars and planets is not described by a polynomial sequence but rather by transcendental functions, specifically infinite series. Scientists predict the positions of celestial bodies using refined models that incorporate extensive observational data, despite the vast distances that result in minimal positional changes over short timeframes. Continuous cataloging of observations enhances the accuracy of these models, which have been developed over several centuries.

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  • Understanding of celestial mechanics
  • Familiarity with transcendental functions and infinite series
  • Knowledge of observational astronomy techniques
  • Basic principles of mathematical modeling in astrophysics
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  • Research celestial mechanics and its applications in predicting planetary motion
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mubashirmansoor
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Hello,
I wanted to know if the translational motion of the stars & planets are according to a polynomial sequence or not?? if not then how can the scientists predict the position of a specific star/planet after a specific period of time??

Thankyou for your answer...
 
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mubashirmansoor said:
I wanted to know if the translational motion of the stars & planets are according to a polynomial sequence or not?? if not then how can the scientists predict the position of a specific star/planet after a specific period of time??
Not necessarily polynomial, but more like a transcendantal function (infinite series). Why should they be a polynomial sequence?

The distances involved are so large that positions, in terms of angles, change very little from year to year, or decade to decade. I am sure models are refined as more observations are catalogued.

We have only been observing stars for several hundred years (at least the ones we could see with crude telescopes). Wait several more millenia to see how accurate the models are. But then again we will not be around to see.
 

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