REGULARIZATION OF EQUATIONS OF MOTION IN CELESTIAL MECHANICS: 1. CLASSIFICATION OF THE FOURTH-ORDER L-MATRICES

14 сентября 2018
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Вид публикации Статья
Контактные данные автора публикации POLESHCHIKOV S.M., KHOLOPOV A.A.
Ссылка на публикацию в интернете www.maik.ru/cgi-perl/search.pl?type=abstract&name=solsys&number=4&year=0&page=342

Аннотация

The concept of L-similarity of the fourth-order L-matrices is introduced. A necessary and sufficient
condition for the L-similarity of two L-matrices is obtained. L-matrices are shown to belong to four noninter-
secting classes. An expansion of the classical KS-matrix in the basis of antisymmetric matrices is considered.
Regular equations of a satellite for each of the four classes of L-matrices are numerically integrated. The numer-
ical simulations have shown that if L-matrices are specifically chosen, the bulk of computations of the perturb-
ing acceleration vectors can be greatly reduced. It is then concluded that a special choice of L-matrices can facil-
itate the study of close encounters of the Solar System bodies.
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