Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs

Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs

Bibliographic Details
Main Author: Habana, Nlingilili Oarabile Kgosietsile
Language:English
Published: The Ohio State University / OhioLINK 2020
Subjects:
Applied Mathematics
Geophysical
Earth
Geophysics
Statistics
gravitation
SST
GRACE
perturbation theory
long arcs
kinematic orbits
satellite-to-satellite tracking
gravity recovery
spherical harmonic estimation
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=osu1578042687104082
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-osu15780426871040822021-08-03T07:13:46Z Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs Habana, Nlingilili Oarabile Kgosietsile Applied Mathematics Geophysical Earth Geophysics Statistics gravitation SST GRACE perturbation theory long arcs kinematic orbits satellite-to-satellite tracking gravity recovery spherical harmonic estimation To improve on the understanding of Earth dynamics, a perturbation theory aimed at geopotential recovery, based on purely kinematic state vectors, is implemented. The method was originally proposed in the study by Xu (2008). It is a perturbation method based on Cartesian coordinates that is not subject to singularities that burden most conventional methods of gravity recovery from satellite-to-satellite tracking. The principal focus of the theory is to make the gravity recovery process more efficient, for example, by reducing the number of nuisance parameters associated with arc endpoint conditions in the estimation process. The theory aims to do this by maximizing the benefits of pure kinematic tracking by GNSS over long arcs. However, the practical feasibility of this theory has never been tested numerically.In this study, the formulation of the perturbation theory is first modified to make it numerically practicable. It is then shown, with realistic simulations, that Xu’s original goal of an iterative solution is not achievable under the constraints imposed by numerical integration error. As such, a non-iterative alternative approach is implemented, instead. Finally, the principles of this modified procedure are applied to the Schneider (1968) model, improving the original model by an order of magnitude for high-low satellite-to-satellite tracking (SST). The new model is also adapted to the processing of low-low SST, and a combination thereof, i.e. GRACE-like missions. In validating the linearized model for multiple-day-long arcs, it is revealed (through simulated GRACE-like orbits) to be at least as accurate as (or in some cases better than) the GRACE K-band range-rate nominal precision of 0.1 μm/s. Further application of the model to simulated recovery of spherical harmonic coefficients is shown to achieve accuracies commensurate to other models in practice today. 2020-09-17 English text The Ohio State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=osu1578042687104082 http://rave.ohiolink.edu/etdc/view?acc_num=osu1578042687104082 unrestricted This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. Specific terms and permissions are available from this document's record in the OhioLINK ETD Center.
collection NDLTD
language English
sources NDLTD
topic Applied Mathematics
Geophysical
Earth
Geophysics
Statistics
gravitation
SST
GRACE
perturbation theory
long arcs
kinematic orbits
satellite-to-satellite tracking
gravity recovery
spherical harmonic estimation
spellingShingle Applied Mathematics
Geophysical
Earth
Geophysics
Statistics
gravitation
SST
GRACE
perturbation theory
long arcs
kinematic orbits
satellite-to-satellite tracking
gravity recovery
spherical harmonic estimation

Habana, Nlingilili Oarabile Kgosietsile
Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs
author Habana, Nlingilili Oarabile Kgosietsile
author_facet Habana, Nlingilili Oarabile Kgosietsile
author_sort Habana, Nlingilili Oarabile Kgosietsile
title Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs
title_short Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs
title_full Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs
title_fullStr Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs
title_full_unstemmed Gravity Recovery by Kinematic State Vector Perturbation from Satellite-to-Satellite Tracking for GRACE-like Orbits over Long Arcs
title_sort gravity recovery by kinematic state vector perturbation from satellite-to-satellite tracking for grace-like orbits over long arcs
publisher The Ohio State University / OhioLINK
publishDate 2020
url http://rave.ohiolink.edu/etdc/view?acc_num=osu1578042687104082
work_keys_str_mv AT habananlingililioarabilekgosietsile gravityrecoverybykinematicstatevectorperturbationfromsatellitetosatellitetrackingforgracelikeorbitsoverlongarcs
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