Calculations in newtonian physics vs Relativity

[bluescience]

So I know that Newton looked at gravity as a force and thus came up with a big set of calculations that accurately predict the effect of gravity on objects. However Einstein stated gravity as simply a geometric effect in the fourth dimension or space time. And his calclulation give a slightly more accurate representation of gravity.

 

 

What I want to know is on what scale is Einstein's equation's "more accurate", I have heard that in fact we can use Newtonian formulas and they do not make that much of a difference and are usable enough for basic things, but in what situation would one need to resort to Einstein's formulas? How more accurate are they?

 

 

GRACIAS, THANKS

[Mordred]

The question really breaks down to a matter of choice on the accuracy.

 

For example between your feet and your head there is an extremely miniscule time dilation.

 

The effect is so miniscule it would take several thousand years to become noticeable.

 

In our everyday applications Newtonian physics is usually accurate enough for everyday needs.

Mainly because our everyday needs don't involve any significant time scale.

 

An exception to this is measurement data such as redshift over large distance or change in gravity well, velocity etc.

 

In truth it depends on the needs behind the application.

 

For example it's important for GPS satellites due to a need for higher precision. Yet using Newtonian physics works quite well for calculating falling objects including asteroids and meteors.

 

As you can see the meteor gains a far greater velocity than the satellite. Yet we choose a less accurate metric.

 

Were not particularly concerned with time dilation for the meteor as the event is extremely short lived.

 

Einsteins equations are more accurate anytime you involve motion and a difference in gravity no matter how miniscule. Yet Newtons equations on many applications give a good enough approximation.