Title :
Kinematic and geometric description of the solid motion in the gravity field
Author :
Adamyan, V. ; Zayimtsyan, G. ; Manandyan, L.
Author_Institution :
Dept. of Appl. Mech., State Eng. Univ. of Armenia, Gyumri, Armenia
Abstract :
The paper presents the geometric description of the solid motion in the gravity field; according to it the solid trajectory can be the geometric locus of the epicycles - circles centers passing through the empty focus of trajectory and being tangent to the deferent circle. It introduces the new concept-motion rhomb and algorithm of its construction which by its position, dimension of sides and diagonals determines completely the position of material point and its velocity vector that is required while solving the major task of mechanics.
Keywords :
celestial mechanics; gravity; kinematics; planets; deferent circle; epicycles circles centers; geometric locus; gravity field; material point position; motion rhomb; planetary motion; solid motion geometric description; solid motion kinematics; velocity vector; Bonding; Focusing; Gravity; Kinematics; Mathematical analysis; Modular construction; Planets; Solid modeling; Vectors;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236818