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Expression for Orbit as function of time ?



 
 
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  #1  
Old March 14th 10, 09:19 PM posted to sci.astro
Dr J R Stockton[_63_]
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Default Expression for Orbit as function of time ?


Two masses orbit their barycentre elliptically, defining a plane; there
are no other forces.

Is there an expression for the angle defining within the plane the
direction of the line between their centres as a function of time? An
expression which uses only operators and functions supported by, say,
JavaScript or Pascal?

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  #2  
Old March 15th 10, 12:01 AM posted to sci.astro
William Hamblen[_2_]
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Default Expression for Orbit as function of time ?

On Sun, 14 Mar 2010 21:19:22 +0000, Dr J R Stockton
wrote:


Two masses orbit their barycentre elliptically, defining a plane; there
are no other forces.

Is there an expression for the angle defining within the plane the
direction of the line between their centres as a function of time? An
expression which uses only operators and functions supported by, say,
JavaScript or Pascal?


Kepler's equation. The approximation is the equation of the center.

Bud
  #3  
Old March 15th 10, 12:30 AM posted to sci.astro
Androcles[_28_]
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Default Expression for Orbit as function of time ?


"William Hamblen" wrote in message
...
On Sun, 14 Mar 2010 21:19:22 +0000, Dr J R Stockton
wrote:


Two masses orbit their barycentre elliptically, defining a plane; there
are no other forces.

Is there an expression for the angle defining within the plane the
direction of the line between their centres as a function of time? An
expression which uses only operators and functions supported by, say,
JavaScript or Pascal?


Kepler's equation. The approximation is the equation of the center.

Bud


http://www.androcles01.pwp.blueyonde...rbit/Orbit.xls


 




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