## Details

Original language | English |
---|---|

Title of host publication | Geodesy for Planet Earth - Proceedings of the 2009 IAG Symposium |

Pages | 373-379 |

Number of pages | 7 |

Publication status | Published - 2012 |

Event | IAG Symposium on Geodesy for Planet Earth, IAG 2009 - Chania, Crete, Argentina Duration: 31 Aug 2009 → 4 Sept 2009 |

## Publication series

Name | International Association of Geodesy Symposia |
---|---|

Volume | 136 |

ISSN (Print) | 0939-9585 |

## Abstract

The so-called Colombo-Nyquist (Colombo, The global mapping of gravity with two satellites, 1984) rule in satellite geodesy has been revisited. This rule predicts that for a gravimetric satellite flying in a (near-)polar circular repeat orbit, the maximum resolvable geopotential spherical harmonic degree (l_{max}) is equal to half the number of orbital revolutions (n_{r}) the satellite completes in one repeat period. This rule has been tested for different observation types, including geoid values at sea level along the satellite ground track, orbit perturbations (radial, along-track, cross-track), low-low satellite-to-satellite tracking, and satellite gravity gradiometry observations (all three diagonal components). Results show that the Colombo-Nyquist must be reformulated. Simulations indicate that the maximum resolvable degree is in fact equal to kn_{r} + 1, where k can be equal to 1, 2, or even 3 depending on the combination of observation types. However, the original rule is correct to some extent, considering that the quality of recovered gravity field models is homogeneous as a function of geographical longitude as long as l_{max} < n_{r}/2.

## ASJC Scopus subject areas

- Earth and Planetary Sciences(all)
**Computers in Earth Sciences**- Earth and Planetary Sciences(all)
**Geophysics**

## Cite this

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**Dependency of resolvable gravitational spatial resolution on space-borne observation techniques.**/ Visser, P. N.A.M.; Schrama, E. J.O.; Sneeuw, N. et al.

Geodesy for Planet Earth - Proceedings of the 2009 IAG Symposium. 2012. p. 373-379 (International Association of Geodesy Symposia; Vol. 136).

Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review

*Geodesy for Planet Earth - Proceedings of the 2009 IAG Symposium.*International Association of Geodesy Symposia, vol. 136, pp. 373-379, IAG Symposium on Geodesy for Planet Earth, IAG 2009, Chania, Crete, Argentina, 31 Aug 2009. https://doi.org/10.1007/978-3-642-20338-1_45

*Geodesy for Planet Earth - Proceedings of the 2009 IAG Symposium*(pp. 373-379). (International Association of Geodesy Symposia; Vol. 136). https://doi.org/10.1007/978-3-642-20338-1_45

}

TY - GEN

T1 - Dependency of resolvable gravitational spatial resolution on space-borne observation techniques

AU - Visser, P. N.A.M.

AU - Schrama, E. J.O.

AU - Sneeuw, N.

AU - Weigelt, M.

PY - 2012

Y1 - 2012

N2 - The so-called Colombo-Nyquist (Colombo, The global mapping of gravity with two satellites, 1984) rule in satellite geodesy has been revisited. This rule predicts that for a gravimetric satellite flying in a (near-)polar circular repeat orbit, the maximum resolvable geopotential spherical harmonic degree (lmax) is equal to half the number of orbital revolutions (nr) the satellite completes in one repeat period. This rule has been tested for different observation types, including geoid values at sea level along the satellite ground track, orbit perturbations (radial, along-track, cross-track), low-low satellite-to-satellite tracking, and satellite gravity gradiometry observations (all three diagonal components). Results show that the Colombo-Nyquist must be reformulated. Simulations indicate that the maximum resolvable degree is in fact equal to knr + 1, where k can be equal to 1, 2, or even 3 depending on the combination of observation types. However, the original rule is correct to some extent, considering that the quality of recovered gravity field models is homogeneous as a function of geographical longitude as long as lmax < nr/2.

AB - The so-called Colombo-Nyquist (Colombo, The global mapping of gravity with two satellites, 1984) rule in satellite geodesy has been revisited. This rule predicts that for a gravimetric satellite flying in a (near-)polar circular repeat orbit, the maximum resolvable geopotential spherical harmonic degree (lmax) is equal to half the number of orbital revolutions (nr) the satellite completes in one repeat period. This rule has been tested for different observation types, including geoid values at sea level along the satellite ground track, orbit perturbations (radial, along-track, cross-track), low-low satellite-to-satellite tracking, and satellite gravity gradiometry observations (all three diagonal components). Results show that the Colombo-Nyquist must be reformulated. Simulations indicate that the maximum resolvable degree is in fact equal to knr + 1, where k can be equal to 1, 2, or even 3 depending on the combination of observation types. However, the original rule is correct to some extent, considering that the quality of recovered gravity field models is homogeneous as a function of geographical longitude as long as lmax < nr/2.

UR - http://www.scopus.com/inward/record.url?scp=84881220939&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-20338-1_45

DO - 10.1007/978-3-642-20338-1_45

M3 - Conference contribution

AN - SCOPUS:84881220939

SN - 9783642203374

T3 - International Association of Geodesy Symposia

SP - 373

EP - 379

BT - Geodesy for Planet Earth - Proceedings of the 2009 IAG Symposium

T2 - IAG Symposium on Geodesy for Planet Earth, IAG 2009

Y2 - 31 August 2009 through 4 September 2009

ER -