THE ELEVENTH MOTION CONSTANT OF THE TWO-BODY PROBLEM Conference Paper

abstract

• The two-body problem is a twelfth-order time-invariant dynamic system, and therefore has eleven motion constants. Some of these motion constants are related to the ten algebraic integrals of the n-body problem, while some are particular to the two-body problem. The problem can be decomposed into mass-center and relative-motion subsystems, each being sixth order and each having five motion constants. This paper presents solutions for the eleventh motion constant, which relates the behavior of the two subsystems.

authors

• Hurtado, John

published proceedings

• SPACEFLIGHT MECHANICS 2010, PTS I-III

author list (cited authors)

• Sinclair, A. J., & Hurtado, J. E.

complete list of authors

• Sinclair, Andrew J||Hurtado, John E

publication date

• December 2010

published in

• Spaceflight Mechanics 2005, Vol 120, Pts 1 and 2  Journal

International Standard Book Number (ISBN) 13

• 978-0-87703-560-2

start page

• 1221

end page

• +

volume

• 136