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Old 30-07-2016, 09:19 AM
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sjastro
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Big Whopping Error

In my previous calculations I inadvertently expressed the value of M in the general equation for freefall http://members.iinet.net.au/~sjastro...l_equation.gif as being one (one solar mass) instead of the value 1.989 X 10^30 kg.

Needless to say the results are somewhat different now and Bill's suspicions of the results were quite justified.

The coordinate freefall time interval t for the third observer is given by equation (1).
http://members.iinet.net.au/~sjastro...s/freefall.gif
This is now 126 sec.

The clocks located at 100 and 10000 km would record this time interval by equation (2) http://members.iinet.net.au/~sjastro...e_dilation.gif as 124.13 and 125.98 seconds respectively.

To illustrate the coordinate time to fall from 25 km to 2.95km the event horizon is infinite, I graphed equation (1).
http://members.iinet.net.au/~sjastro...e_Dilation.png

The red shaded area is the calculated time of 126 sec when the particle falls from 25 to 5 km as seen from a distant observer.
As graph shows the event horizon is a mathematical limit where the change in coordinate time becomes infinitely large.

Steven
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