Mathematics
Scientific paper
Jun 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982stin...8317434b&link_type=abstract
Long periodic terms in the solar system Transl. into ENGLISH from Astron. et Astrophys. (France), v. 30, no. 1, Jan. 1974 p 14
Mathematics
Orbit Perturbation, Orbital Elements, Periodic Variations, Perturbation Theory, Planetary Orbits, Solar System, Differential Equations, Euler-Lagrange Equation, Matrices (Mathematics), Tables (Data), Taylor Series
Scientific paper
The long period variations of the first eight planets in the solar system are studied. First, the Lagrangian solution is calculated and then the long period terms with fourth order eccentricities and inclinations are introduced into the perturbation function. A second approximation was made taking into account the short period terms' contribution, namely the perturbations of first order with respect to the masses. Special attention was paid to the determination of the integration constants. The relative importance of the different contributions is shown. It is useless, for example, to introduce the long period terms of fifth order if no account has been taken of the short period terms. Meanwhile, the terms that have been neglected would not introduce large changes in the integration constants. Even so, the calculation should be repeated with higher order short period terms and fifth order long periods.
No associations
LandOfFree
Long periodic terms in the solar system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Long periodic terms in the solar system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long periodic terms in the solar system will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1355449