Study of Saros cycle and non-partial solar eclipse with Newton mechanics approach

Author:

Bama Akhmad Aminuddin,Tamara M R,Arsali ,Marini D

Abstract

Abstract We have derived Saros cycle period by Newton mechanics approach using a method that had been usedby Chalub. We got the result approximately 6597,1 day; with the error comparedto Saros cycle (6585,3 day) of approximately 0,1792%. For non-partial solar eclipse case, we too have derived the equation to relate between this sun eclipse and geometrical parameter of Earth, Moon, and Sun mathematically. This equation indicates that for total sun eclipse, the umbra’s radius P on earth surface must have positive sign, whereas negative sign for annular sun eclipse. To test this equation, we compare it to a recorded (past or predicted) non-partial solar eclipse. The result indicates appropriateness for total and annular sun eclipse, but it does not appropriate for hybrid sun eclipse as we anticipated that is the magnitude of umbra’s radius P for this eclipse must near zero.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference10 articles.

1. The Saros Cycle: Obtaining Eclipses Periodicity from Newton’s Laws;Chalub;Revista Brasileira de Ensino de Fisica,2009

2. Numerical Expressions for precession formulae and mean elements for the moon and theplanets;Simon;Astronomy and Astrophysicsa

3. The Apache Point Observatory Lunar Laser-ranging Operation (APOLLO): Two Years of Milimeter Precision Measurements of the Earth Moon Range;Battat;Publications of the Astronomical Societyof the Pacific,2009

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