On the tidal force from the body circulating on an elliptic orbit
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2013), pp. 109-113
The problem of the tidal effects on the central spherical planet from the disturbing body (satellite), moving in an elliptical orbit is studied. We performed the averaging of the tidal potential over the period of the satellite and proved that regardless of the value of the orbit eccentricity the perturbation force of the body was, upon the average, purely radial, as if the orbit of the satellite had been just circular.
Keywords:
tidal force, tidal perturbation components.
Mots-clés : Keplere's orbits
Mots-clés : Keplere's orbits
@article{VUU_2013_1_a9,
author = {B. P. Kondratyev},
title = {On the tidal force from the body circulating on an elliptic orbit},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {109--113},
year = {2013},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2013_1_a9/}
}
TY - JOUR AU - B. P. Kondratyev TI - On the tidal force from the body circulating on an elliptic orbit JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki PY - 2013 SP - 109 EP - 113 IS - 1 UR - http://geodesic.mathdoc.fr/item/VUU_2013_1_a9/ LA - ru ID - VUU_2013_1_a9 ER -
B. P. Kondratyev. On the tidal force from the body circulating on an elliptic orbit. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2013), pp. 109-113. http://geodesic.mathdoc.fr/item/VUU_2013_1_a9/
[1] Vebster A. G., Mekhanika materialnykh tochek, tverdykh, uprugikh i zhidkikh tel, GTTI, L.–M., 1933, 635 pp.
[2] Akulenko L. D., Kumakshev S. A., Markov Yu. G., “Model gravitatsionno-prilivnogo mekhanizma vozbuzhdeniya kolebanii polyusa Zemli”, DAN, 400:6 (2005), 758–763