Open AccessOn Mr King‐Hele's Theory of the Effect of the Earth's Oblateness on the Orbit of a Close Sastellite *
Author(s) -
Message P. J.
Publication year - 1960
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1960.tb01722.x
Subject(s) - osculating circle , gravitational singularity , motion (physics) , node (physics) , orbit (dynamics) , classical mechanics , physics , longitude , plane (geometry) , satellite , mathematical analysis , mathematics , mathematical physics , geodesy , geology , geometry , quantum mechanics , astronomy , engineering , aerospace engineering , latitude
Summary> The relations are obtained between α and Ω, the parameters defining King‐Hele's plane π, and the osculating inclination and longitude of node. The secular motion of the node is thereby obtained in terms of mean osculating elements in a form comparable to that arising in Brouwer's treatment of the canonical equations. A modification is made to King‐Hele's theory which removes the singularities in the Je terms of dΩ/dψ , and it is also found that there are no terms of order Je 2 in α or Ω