First order perturbations of the four big planets - Literal variations

Details First order perturbations of the four big planets - Literal variations First order perturbations of the four big planets - Literal variations

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....42..259s&link_type=abstract

Astronomy and Astrophysics, vol. 42, no. 2, Aug. 1975, p. 259-263. In French.

Astronomy and Astrophysics

Astrophysics

12

Orbit Perturbation, Planetary Mass, Solar Orbits, Euler-Lagrange Equation, Fourier Series, Iterative Solution, Jupiter (Planet), Neptune (Planet), Numerical Integration, Saturn (Planet), Uranus (Planet)

Scientific paper

The first-order perturbations of Jupiter, Saturn, Uranus, and Neptune are obtained from Lagrange's equations by two different methods: integration order by order with respect to masses and a method of successive approximations. The first order perturbations are presented in the form of Fourier series with numerical coefficients for the periodic component, and the derivatives of the solution with respect to the integration constants are given. The solution and its derivatives represent an entirely analytical theory in a field defined around the constants chosen for the construction of the solution. Elements referred to the 1950 ecliptic and current values of masses are used.

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