"Jay H." .
"algebraic manipulation software" .
.
.
.
"example" .
"expression" .
"0923-2958" .
_:N6e2e3024fc7b4334ba250db677532fc1 "dimensions_id" .
"Jet Propulsion Laboratory, 91103, Pasadena, Calif, USA" .
"false"^^ .
"satellite III" .
_:N1e5b9c1275224f6d97300badd37938de .
"Sampson's theory" .
"Jupiter" .
"Jupiter's Galilean satellites" .
"derivatives" .
"Springer Nature" .
"https://scigraph.springernature.com/explorer/license/" .
_:N6e2e3024fc7b4334ba250db677532fc1 "pub.1035593329" .
.
"software" .
_:N5b547afd9e444513b7903a310138c602 .
"multiplication" .
_:N5b547afd9e444513b7903a310138c602 .
"5-17" .
"analytical expressions" .
_:Ne6ce69c66cbc4948bf67af08066321df .
"construction" .
"numerical values" .
.
"Computer-developed construction" .
"articles" .
"partial derivatives" .
_:N6e2e3024fc7b4334ba250db677532fc1 .
.
"effect" .
"respect" .
_:Ne6ce69c66cbc4948bf67af08066321df .
"values" .
.
"Lieske" .
_:N1e5b9c1275224f6d97300badd37938de "doi" .
"motion" .
_:N19039e17209241489b03151b478a330a .
"satellite II" .
"Celestial Mechanics and Dynamical Astronomy" .
"Jupiter's poles" .
"final numerical value" .
"1975-08-01" .
.
"Mathematical Sciences" .
"method" .
"0008-8714" .
_:N19039e17209241489b03151b478a330a "12" .
_:N1e5b9c1275224f6d97300badd37938de "10.1007/bf01228618" .
"manipulation software" .
"rotation" .
.
"constants" .
"coordinates" .
.
"2021-11-01T17:55" .
"analytic expressions" .
_:N5b547afd9e444513b7903a310138c602 "1" .
.
"theory" .
_:N6e2e3024fc7b4334ba250db677532fc1 .
"physical parameters" .
"manipulation" .
"perturbations" .
"constants of integration" .
"efforts" .
"pole" .
"ease" .
"error" .
"computer-based manipulation" .
"https://doi.org/10.1007/bf01228618" .
_:Nf83064d4bb5542d7b8181d104748af77 .
"Jupiter oblateness" .
"oblateness" .
_:Ne6ce69c66cbc4948bf67af08066321df .
"Computer-developed construction of analytic expressions for the coordinates and partial derivatives of Jupiter's Galilean satellites" .
_:Nf83064d4bb5542d7b8181d104748af77 .
"period of rotation" .
"orbital parameters" .
_:Nf83064d4bb5542d7b8181d104748af77 "Springer Nature - SN SciGraph project" .
"1975-08" .
"period" .
_:N1e5b9c1275224f6d97300badd37938de .
_:N19039e17209241489b03151b478a330a .
"computer-based algebraic manipulation software" .
"In his effort to develop series expressions for the coordinates of the Galilean satellites accurate to one are second (Jovicentric), R. A. Sampson was forceda priori to adopt certain numerical values for several constants imbedded in his theory. His final numerical values for the series expressions are not amenable to adjustment of the constants of integration nor of physical constants which affect the motion of the satellites. A method which utilizes computer-based algebraic manipulation software has been developed to reconstruct Sampson's theory, to remove existing errors, to introduce neglected effects and to provide analytical expressions for the coordinates as well as for the partial derivatives with respect to orbital parameters, Jupiter and satellite masses, Jupiter's oblateness (J2,J4) and Jupiter's pole and period of rotation. The computer-based manipulations enable one to perform, for example, the approximately 108 multiplications required in calculating some perturbations (and their partial derivatives) of Satellite II by Satellite III with ease, and provide algebraic expressions which can readily be adjusted to generate theories corresponding to revised constants of integration and physical parameters." .
"article" .
"series expression" .
"mass" .
"en" .
"physical constants" .
.
"satellite" .
"Sampson" .
"certain numerical values" .
"forceda" .
"algebraic expressions" .
"satellite mass" .
"Galilean satellites" .
.
"Jet Propulsion Laboratory, 91103, Pasadena, Calif, USA" .
.
"Applied Mathematics" .
"adjustment" .
.
"integration" .
"parameters" .
.