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Main Question or Discussion Point
Using iteration I've got a satellite flying around two gravity sources. (See picture)
When using the iteration over a 100 times I see that TE, total energy slowly sinks so I need to make a correction after each iteration to insure that TE is constant.
Trouble is I have several possibilities :
Example : at the start I have :
PE = 100 KE = 125 => TE = 25
after one iteration I have TE = 20 (a quite exaggerated difference in this example)
I have lost 5 Joules.
to compensate :
A should I increase the KE by 5, increasing the magnitude of the velocity by sqrt(5)?
B should I increase the PE by moving the satellite a bit farther away from the GS bodies?
C should I split the difference evenly? Each should compensate 2.5 Joules.
D should I split the different 4:5 or 5:4 due to the different sizes of PE and KE?
Maybe I need a Math professor for this one.
When using the iteration over a 100 times I see that TE, total energy slowly sinks so I need to make a correction after each iteration to insure that TE is constant.
Trouble is I have several possibilities :
Example : at the start I have :
PE = 100 KE = 125 => TE = 25
after one iteration I have TE = 20 (a quite exaggerated difference in this example)
I have lost 5 Joules.
to compensate :
A should I increase the KE by 5, increasing the magnitude of the velocity by sqrt(5)?
B should I increase the PE by moving the satellite a bit farther away from the GS bodies?
C should I split the difference evenly? Each should compensate 2.5 Joules.
D should I split the different 4:5 or 5:4 due to the different sizes of PE and KE?
Maybe I need a Math professor for this one.
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