Solving Kepler's Problem

2011 ◽  
Vol 13 ◽  
Author(s):  
Jan Vrbik
Keyword(s):  
Kepler’S Problem

scholarly journals A short Method for Kepler's Problem

1884 ◽  
Vol 108 (24) ◽  
pp. 427-429 ◽  
Author(s):  
H. A. Howe
Keyword(s):  
Kepler’S Problem ◽  
Short Method

The solution of Kepler's problem

1913 ◽  
Vol 27 ◽  
pp. 182
Author(s):  
Arthur A. Rambaut
Keyword(s):  
Kepler’S Problem

New solution of Kepler's problem

1854 ◽  
Vol 6 ◽  
pp. 229-230
Keyword(s):  
Kepler’S Problem

It is well known how much labour has been bestowed by geometers on the solution of Kepler’s Problem, and what complicated results have been obtained for the coefficients in the expression for the Equation of the Center. I have lately found a new solution of this problem, which differs so strikingly from former solutions in this respect, that it leads to an unexpectedly simple law of coefficients. It is as follows :—

scholarly journals IX. A New and Universal Solution of Kepler's Problem

1805 ◽  
Vol 5 (2) ◽  
pp. 203-246
Author(s):  
James Ivory
Keyword(s):  
Straight Line ◽  
Universal Solution ◽  
Kepler’S Problem ◽  
The Given

Kepler, having discovered the laws that regulate the motion of a planet in its orbit, proposed the following problem, for determining the true place of a planet at any given time: “To draw a straight line DE, from an eccentric point D in the diameter of a semicircle AEB, so that the whole semicircle may be to the sector ADE, in a given ratio.”In resolving this problem, we are to take the quadrature of the circle for granted: and therefore, if C be the centre of the circle, and if the sector ACM be taken, such, that the whole semicircle is to the sector ACM in the required given ratio, the problem may be otherwise enunciated: “ To draw a straight “ line DE from an eccentric point D, to cut off a sector ADE, that shall be equal to the given sector ACM.”

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