A Definite Integration Method of Calculating Inclination Function and its Derivative

Details A Definite Integration Method of Calculating Inclination Function and its Derivative A Definite Integration Method of Calculating Inclination Function and its Derivative

Jan 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012acasn..53...50w&link_type=abstract

Acta Astronomica Sinica, vol. 53, no. 1, p. 50-61

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Methods: Numerical

Scientific paper

The paper gives a definite integration method of calculating inclination function and its derivative. The expression is simple, but its accuracy is very well. It is about 10-15 and 10-13 for inclination function and its derivative, respectively. This level is comparable to the accuracy of Gooding's method. Through a lot of numerical simulations, it is proved that the method has good stability and wide-scope application of inclination. It takes very little time to calculate low-order function (less than 50), so the method can be directly used in calculating terrestrial and sun-moon gravitational perturbation.

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