Open AccessAnalysis of Gravitational and Geometric Aspects of Geodetic Utilization of Satellites
Author(s) -
Kaula W. M.
Publication year - 1961
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.1961.tb00417.x
Subject(s) - geodetic datum , gravitation , spherical harmonics , geodesy , harmonics , gravitational potential , orbital elements , physics , harmonic , mathematics , classical mechanics , mathematical analysis , geology , astrophysics , quantum mechanics , voltage
summary Expressions are derived for the first‐order effects of any period of any term, U m l , of the gravitational potential on the orbital elements, plus the second‐order effects arising from the interaction of U n l with U 0 2 , the oblateness. The order of magnitude of some daily and semi‐daily variations is estimated to be ± 100m from statistical data on the gravitational harmonics. A general geometric and statistical treatment of all types of observations is developed, with the purposes of obtaining rigorous evaluations of orbital and observational schemes, and optimum solutions for geodetic positions, gravitational harmonic coefficients, and orbital elements.