THE EQUATORIAL ORBIT OF A NEAR-EARTH SATELLITE

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Abstract:

The orbit of a near-earth satellite is described by finite equations x equals xt, y equals yt, z equals zt which closely approximate the position of the satellite. Various sets of approximate equations were proposed by various authors but in no case has it been possible to establish rigorous error bounds for these solutions. This is true even when the only non-inverse-square force is due to the oblateness of the earth. Realistic and strict numerical error bounds for an approximate solution are given. Special though this case is, a complete error analysis may have some interest. Author

Author(s):
Brenner, J. L.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Pagination:
0001

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TSR258
Contract/Grant Number(s):
DA11 022ORD2059
 Subject Terms
Modernization Areas:
Space
Communities of Interest:
Space
Descriptor(s):
*ERRORS, *ORBITS, *ARTIFICIAL SATELLITES, DIFFERENTIAL EQUATIONS, EARTH(PLANET), EQUATIONS, GRAVITY, MOTION
Report Date:
1961 Aug 01