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Discretization and rounding errors in orbit determination

Authors:

P. Henrici,

J. D. Riley,

H. StaffordAuthors Info & Claims

ACM '61: Proceedings of the 1961 16th ACM national meeting

Pages 61.101 - 61.104

https://doi.org/10.1145/800029.808518

Published: 01 January 1961 Publication History

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Abstract

In this paper we study the growth of both discretization and roundoff error in the numerical determination of the orbit of a satellite around the earth by several typical step-by-step procedures. In particular we wish to compare the actual errors encountered in numerical computation with the errors predicted by the theory developed previously. In order to keep the analytical machinery simple, only the zeroth harmonic of the gravitational potential is taken into account, and the intended orbit is assumed to be circular. It appears that even in this extremely special situation our study reveals some patterns of error propagation which have not been previously reported. Some of our results are at variance with certain earlier findings.

Index Terms

Discretization and rounding errors in orbit determination
1. Applied computing
  1. Physical sciences and engineering
    1. Earth and atmospheric sciences
2. Theory of computation
  1. Randomness, geometry and discrete structures
    1. Error-correcting codes

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ACM '61: Proceedings of the 1961 16th ACM national meeting

January 1961

290 pages

ISBN:9781450373883

DOI:10.1145/800029

Chairman:
Thomas C. Rowan

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 January 1961

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Abstract

Index Terms

Recommendations

Precise orbit determination of BeiDou constellation: method comparison

Enhanced orbit determination for BeiDou satellites with FengYun-3C onboard GNSS data

Precise orbit and clock determination for BeiDou-3 experimental satellites with yaw attitude analysis

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